Article(id=1322282033460654376, tenantId=1146029695717560320, journalId=1220038251117760515, issueId=1322281938308677669, articleNumber=null, orderNo=null, doi=10.11868/j.issn.1001-4381.2025.000493, pmid=null, cstr=32421.14.j.issn.1001-4381.2025.000493, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1756656000000, receivedDateStr=2025-09-01, revisedDate=null, revisedDateStr=null, acceptedDate=1760457600000, acceptedDateStr=2025-10-15, onlineDate=1793186203589, onlineDateStr=2026-10-28, pubDate=1784476800000, pubDateStr=2026-07-20, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1793186203589, onlineIssueDateStr=2026-10-28, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1793186203589, creator=13701087609, updateTime=1793186203589, updator=13701087609, issue=Issue{id=1322281938308677669, tenantId=1146029695717560320, journalId=1220038251117760515, year='2026', volume='54', issue='7', pageStart='1', pageEnd='347', issueExtLink='null', onlineDate='null', pubDate='1784476800000', pubDateStr='2026-07-20', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=0, createTime=1793186180903, creator='13701087609', updateTime=1793186267843, updator='13701087609', preIssue=null, nextIssue=null, articleTotal=null, ext={EN=IssueExt(id=1322282303045349604, tenantId=1146029695717560320, journalId=1220038251117760515, issueId=1322281938308677669, language=EN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1322282303045349605, tenantId=1146029695717560320, journalId=1220038251117760515, issueId=1322281938308677669, language=CN, specialIssueTitle=, coverIllustrator=null, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null, downloadFileDto=null}, startPage=316, endPage=329, ext={EN=ArticleExt(id=1322282033682952489, articleId=1322282033460654376, tenantId=1146029695717560320, journalId=1220038251117760515, language=EN, title=Mechanical parameters and damage model of kelp based on ANSYS/LS-DYNA, columnId=1220689384450478826, journalTitle=Journal of Materials Engineering, columnName=RESEARCH ARTICLE, runingTitle=null, highlight=null, articleAbstract=

Kelp is one of the most common large macroalgae in the ocean. Its presence poses a risk of propeller entanglement for ships, deep-sea exploration equipment, and other such assets. During its growth phase, it can be used as a coastal protection material, and after harvesting, it serves as a raw material for food, chemical industry, and other sectors. Therefore, there is an urgent need to conduct hydrodynamic analysis and mechanical research on its damage process. However, there is a lack of accurate mechanical models in relevant studies. In this paper, key mechanical parameters of fresh and mature kelp were measured through experiments. By adopting the method of combining elasto-plastic constitutive model with principal stress failure, a mechanical model for fresh kelp is established based on the ANSYS/LS-DYNA software. The results show that: the shear failure process of kelp is characterized by a transition from local progressive tearing to sudden fracture; comparison between verification tests and simulations reveals a maximum error of 8.248%; elastic modulus, yield strength, tangent modulus, tensile strength, and shear strength exhibit non-linear growth with increasing loading rate, showing a significant strain rate effect; elastic modulus, tensile strength, Poisson's ratio, and static friction coefficient are the key parameters influencing the kelp mechanical model; through application range analysis, the ultimate tensile strength of kelp is 2.445 MPa, and its ultimate shear strength is 0.693 MPa. The kelp mechanical model established by integrating loading rate, elasto-plastic constitutive model, and principal stress failure method provides a certain theoretical basis for research related to the mechanical properties of kelp.

, authors=Zhihao ZHANG1, 2, Yang HONG2, 3, Ye ZHU2, 3, Meng YANG2, 3, Ping LIU2, 3, Tao JIANG2, 3, Zhixin CHEN2, 3, Jun CHEN2, 3, authorsList=Zhihao ZHANG, Yang HONG, Ye ZHU, Meng YANG, Ping LIU, Tao JIANG, Zhixin CHEN, Jun CHEN, authorCompany=null, correspAuthors=Yang HONG, Jun CHEN, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=null, pdfFileSize=null, pdfExtLink=null, richHtmlUrl=null, mobilePdfUrl=null, reviewReport=null, pdfFirstPage=null, abstractGraph=null, abstractGraphContent=null, abstractVideo=null, citation=null, cebUrl=null, magXmlContent=null, mapNumber=null, fund=null), CN=ArticleExt(id=1322282036325364033, articleId=1322282033460654376, tenantId=1146029695717560320, journalId=1220038251117760515, language=CN, title=基于ANSYS/LS-DYNA的海带力学参数与损伤模型, columnId=1220689384622445292, journalTitle=材料工程, columnName=研究论文, runingTitle=null, highlight=null, articleAbstract=

海带是海洋中最常见的大型藻类,其存在对船舶和深海探测设备等存在螺旋桨缠绕风险,且生长阶段可作为海岸防护材料、收获后作为食品和化工等原料,因此亟须对其进行水动力学分析和损伤过程的力学研究,但在相关研究中缺乏精准的力学模型。本工作通过实验测得新鲜成熟海带关键力学参数,采用弹塑性本构结合主应力失效的方法,基于ANSYS/LS-DYNA软件,构建了新鲜海带力学模型。结果表明:海带剪切破坏过程表现为从局部渐进撕裂转向突发性断裂,验证性实验与仿真对比,最大误差为8.248%;弹性模量、屈服强度、切线模量、拉伸强度和剪切强度随加载速度的增加呈非线性增长,应变率效应显著;弹性模量、拉伸强度、泊松比、静摩擦因数是影响海带力学模型的关键参数;经应用范围分析,海带极限拉伸强度为2.445 MPa,极限剪切强度为0.693 MPa。结合加载速度、弹塑性本构、主应力失效方法构建的海带力学模型为涉及海带力学特性相关研究提供一定的理论基础。

, authors=张智豪1, 2, 洪扬2, 3, 朱烨2, 3, 杨猛2, 3, 刘平2, 3, 江涛2, 3, 谌志新2, 3, 陈军2, 3, authorsList=张智豪, 洪扬, 朱烨, 杨猛, 刘平, 江涛, 谌志新, 陈军, authorCompany=null, correspAuthors=洪扬, 陈军, authorNote=null, correspAuthorsNote=
洪扬(1991—),男,助理研究员,硕士,主要从事渔业设施与装备研究,联系地址:上海市杨浦区赤峰路63号中国水产科学研究院渔业机械仪器研究所(200092),E-mail:
陈军(1967—),男,研究员,主要从事渔业设施与装备研究,联系地址:上海市杨浦区赤峰路63号中国水产科学研究院渔业机械仪器研究所(200092),E-mail:
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L.Handbook of common material parameters for finite element analysis[M].Beijing:China Machine Press,2020., articleTitle=null, refAbstract=null)], funds=[Fund(id=1322282050615357878, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, awardId=2023YFD2400800, language=CN, fundingSource=国家重点研发计划(2023YFD2400800), fundOrder=null, country=null), Fund(id=1322282050686661047, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, awardId=CARS-50, language=CN, fundingSource=现代农业产业技术体系建设专项资金(CARS-50), fundOrder=null, country=null), Fund(id=1322282050745381304, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, awardId=2023TD86, language=CN, fundingSource=中国水产科学研究院中央级公益性科研院所基本科研业务费专项资金资助(2023TD86), fundOrder=null, country=null)], companyList=[AuthorCompany(id=1322282037529129282, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, xref=1., 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language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=2.Fishery Machinery and Instrument Research Institute,Chinese Academy of Fishery Sciences,Shanghai 200092,China), AuthorCompanyExt(id=1322282039198462280, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, companyId=1322282039181685062, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=2.中国水产科学研究院渔业机械仪器研究所,上海 200092)]), AuthorCompany(id=1322282039273959753, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, xref=3., ext=[AuthorCompanyExt(id=1322282039290736970, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, companyId=1322282039273959753, language=EN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=3.Key Laboratory of Fishery Equipment and Engineering(Ministry of Agriculture and Rural Affairs),Shanghai 200092,China), AuthorCompanyExt(id=1322282039567561035, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, companyId=1322282039273959753, language=CN, country=null, province=null, city=null, postcode=null, companyName=null, departmentName=null, remark=3.农业农村部渔业装备与工程技术重点实验室,上海 200092)])], figs=[ArticleFig(id=1322282044894327174, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.1, caption=Schematic diagrams of kelp sampling(a)intact kelp;(b)sampling method;(c)dimensions of dumbbell-shaped samples, figureFileSmall=dVHtKIBY+3k9hggPupTv8A==, figureFileBig=udn4FzsWg8Osc4cveyLtiA==, tableContent=null), ArticleFig(id=1322282044999184775, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图1, caption=海带取样示意图(a)完整海带;(b)取样方式;(c)哑铃型样本尺寸, figureFileSmall=dVHtKIBY+3k9hggPupTv8A==, figureFileBig=udn4FzsWg8Osc4cveyLtiA==, tableContent=null), ArticleFig(id=1322282045200511368, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.2, caption=Principle of kelp Poisson's ratio measurement(a)schematic diagram of kelp sample with sprayed speckles;(b)working principle of video extensometer, figureFileSmall=z1rKaICeScEkYB/LzdcrWg==, figureFileBig=j32TnCrGzE+LvMOHzGjhzQ==, tableContent=null), ArticleFig(id=1322282045263425929, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图2, caption=海带泊松比测量原理(a)海带样本喷涂散斑示意图;(b)视频引伸计工作原理, figureFileSmall=z1rKaICeScEkYB/LzdcrWg==, figureFileBig=j32TnCrGzE+LvMOHzGjhzQ==, tableContent=null), ArticleFig(id=1322282045418615178, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.3, caption=Test equipment(a)universal testing machine;(b)front view of lever-type fixture;(c)side view of lever-type fixture;(d)shear platform;(e)upper cutter;(f)lower cutter, figureFileSmall=zI8pbvmTGVUXxk2RcrcGSw==, figureFileBig=xNCnLkzvBACULv+Ax6Vmpw==, tableContent=null), ArticleFig(id=1322282045489918347, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图3, caption=实验设备(a)万能试验机;(b)杠杆式夹具正面图;(c)杠杆式夹具侧面图;(d)剪切平台;(e)上切刀;(f)下切刀, figureFileSmall=zI8pbvmTGVUXxk2RcrcGSw==, figureFileBig=xNCnLkzvBACULv+Ax6Vmpw==, tableContent=null), ArticleFig(id=1322282045548638604, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.4, caption=Experiment for measuring friction coefficient

(a)experiment for measuring static friction coefficient;(b)experiment for measuring rolling friction coefficient

, figureFileSmall=4jTdX1kGIIlmql1CQEBF4w==, figureFileBig=6J/UOdqIs6pgYSGWVpe5nw==, tableContent=null), ArticleFig(id=1322282045611553165, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图4, caption=摩擦因数测量实验

(a)静摩擦因数测量实验;(b)滚动摩擦因数测量实验

, figureFileSmall=4jTdX1kGIIlmql1CQEBF4w==, figureFileBig=6J/UOdqIs6pgYSGWVpe5nw==, tableContent=null), ArticleFig(id=1322282045678662030, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.5, caption=Stress-strain curves, figureFileSmall=bz6uQw2+QpSaeHlGdw6rLQ==, figureFileBig=LVzUFIjrnQhCpsqR4nwj2w==, tableContent=null), ArticleFig(id=1322282045745770895, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图5, caption=应力-应变曲线

(a)engineering stress-strain curve and true stress-strain curve;(b)parameter points on the true stress-strain curve

, figureFileSmall=bz6uQw2+QpSaeHlGdw6rLQ==, figureFileBig=LVzUFIjrnQhCpsqR4nwj2w==, tableContent=null), ArticleFig(id=1322282045817074064, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.6, caption=Mesh generation, figureFileSmall=HtwgQgs7YwsuX70F1SHGdw==, figureFileBig=/6UXuhnnOAvNNhkc8WJSvg==, tableContent=null), ArticleFig(id=1322282045900960145, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图6, caption=网格划分, figureFileSmall=HtwgQgs7YwsuX70F1SHGdw==, figureFileBig=/6UXuhnnOAvNNhkc8WJSvg==, tableContent=null), ArticleFig(id=1322282045976457618, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.7, caption=True stress-true strain curves and statistical charts of parameters varied with load speed(a)true stress-true strain curve;(b)elastic modulus;(c)yield strength;(d)tangent modulus;(e)tensile strength;(f)shear strength, figureFileSmall=ts9ROSExf8KoTZnO/K6uXA==, figureFileBig=Eb8zmIrYZGbXtVWuj3UlDg==, tableContent=null), ArticleFig(id=1322282046047760787, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图7, caption=真实应力-真实应变曲线和参数随加载速度变化统计图(a)真实应力-真实应变曲线;(b)弹性模量;(c)屈服强度;(d)切线模量;(e)拉伸强度;(f)剪切强度, figureFileSmall=ts9ROSExf8KoTZnO/K6uXA==, figureFileBig=Eb8zmIrYZGbXtVWuj3UlDg==, tableContent=null), ArticleFig(id=1322282046106481044, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.8, caption=Trend of strain rate change

(a)average strain rate-load speed;(b)true strain rate-time;(c)true strain rate-true strain

, figureFileSmall=IUUjRkaWGglOPu9kAz4vIQ==, figureFileBig=Lf3DtrTaSAhdUD0m8AU5zA==, tableContent=null), ArticleFig(id=1322282046186172821, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图8, caption=应变率变化趋势

(a)平均应变率-加载速度;(b)真实应变率-时间;(c)真实应变率-真实应变

, figureFileSmall=IUUjRkaWGglOPu9kAz4vIQ==, figureFileBig=Lf3DtrTaSAhdUD0m8AU5zA==, tableContent=null), ArticleFig(id=1322282046312001942, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.9, caption=Trend of influence of single factors on shear force at various loading speeds in box-Behnken experiment

(a)Poisson's ratio;(b)elastic modulus;(c)tensile strength;(d)static friction coefficient

, figureFileSmall=qdtxdA29sZT+KyJIbY5Ddg==, figureFileBig=6TtUGC+yf0bn7a08GNBofg==, tableContent=null), ArticleFig(id=1322282046408470935, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图9, caption=Box-Behnken实验各加载速度下单因素对剪切力的影响趋势

(a)泊松比;(b)弹性模量;(c)拉伸强度;(d)静摩擦因数

, figureFileSmall=qdtxdA29sZT+KyJIbY5Ddg==, figureFileBig=6TtUGC+yf0bn7a08GNBofg==, tableContent=null), ArticleFig(id=1322282046500745624, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.10, caption=Fitted curves of constitutive parameters-load speed

(a)elastic modulus-loading speed;(b)yield strength-loading speed;(c)tangent modulus-load speed;

(d)tensile strength-loading speed;(e)shear strength-load speed

, figureFileSmall=TJpqWP0iPqcJj47YbGa86Q==, figureFileBig=GPCyEF5eDLPlF6mkkJof1A==, tableContent=null), ArticleFig(id=1322282046580437401, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图10, caption=本构参数与速度的拟合曲线

(a)弹性模量-加载速度;(b)屈服强度-加载速度;(c)切线模量-加载速度;(d)拉伸强度-加载速度;(e)剪切强度-加载速度

, figureFileSmall=TJpqWP0iPqcJj47YbGa86Q==, figureFileBig=GPCyEF5eDLPlF6mkkJof1A==, tableContent=null), ArticleFig(id=1322282046664323482, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Fig.11, caption=Simulation diagram of the shearing process, figureFileSmall=kEMPBzIf1bWt/RtmhtB9FQ==, figureFileBig=XfhIb2tFajjzKGG8uNzdvA==, tableContent=null), ArticleFig(id=1322282046735626651, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=图11, caption=剪切过程仿真图

(a)t=0.063 s;(b)t=0.279 s;(c)t=0.423 s;(d)t=0.675 s

(a)t =0.063 s;(b)t =0.279 s;(c)t =0.423 s;(d)t =0.675 s

, figureFileSmall=kEMPBzIf1bWt/RtmhtB9FQ==, figureFileBig=XfhIb2tFajjzKGG8uNzdvA==, tableContent=null), ArticleFig(id=1322282046802735516, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 1, caption=

Test statistical parameters

, figureFileSmall=null, figureFileBig=null, tableContent=
Load speed/(mm·min-1)E/MPaσs/MPaEt/MPaσb/MPaτs/MPa
55.362±1.0070.229±0.0503.454±0.2601.288±0.1680.631±0.069
255.691±0.4800.316±0.0703.942±0.2641.558±0.2640.676±0.043
506.357±0.9840.347±0.0794.120±0.1921.869±0.2750.686±0.043
1006.401±0.5560.437±0.0904.371±0.1742.021±0.3030.695±0.118
2007.884±1.5050.499±0.1274.938±0.2672.304±0.4740.713±0.107
Total6.339±1.2580.366±0.1254.165±0.5431.808±0.4610.680±0.080
), ArticleFig(id=1322282046874038685, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表1, caption=

实验统计参数

, figureFileSmall=null, figureFileBig=null, tableContent=
Load speed/(mm·min-1)E/MPaσs/MPaEt/MPaσb/MPaτs/MPa
55.362±1.0070.229±0.0503.454±0.2601.288±0.1680.631±0.069
255.691±0.4800.316±0.0703.942±0.2641.558±0.2640.676±0.043
506.357±0.9840.347±0.0794.120±0.1921.869±0.2750.686±0.043
1006.401±0.5560.437±0.0904.371±0.1742.021±0.3030.695±0.118
2007.884±1.5050.499±0.1274.938±0.2672.304±0.4740.713±0.107
Total6.339±1.2580.366±0.1254.165±0.5431.808±0.4610.680±0.080
), ArticleFig(id=1322282046953730462, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 2, caption=

True strain rate analysis

, figureFileSmall=null, figureFileBig=null, tableContent=
ε˙avg/s-1ε˙0/s-1ε˙f/s-1Reduction ratio/%
1.15×10-31.389×10-38.96×10-435.493
5.66×10-36.944×10-34.545×10-334.551
1.10×10-21.389×10-28.691×10-337.423
2.174×10-22.778×10-21.677×10-239.616
4.28×10-25.556×10-23.299×10-240.609
), ArticleFig(id=1322282047100531103, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表2, caption=

真实应变率分析

, figureFileSmall=null, figureFileBig=null, tableContent=
ε˙avg/s-1ε˙0/s-1ε˙f/s-1Reduction ratio/%
1.15×10-31.389×10-38.96×10-435.493
5.66×10-36.944×10-34.545×10-334.551
1.10×10-21.389×10-28.691×10-337.423
2.174×10-22.778×10-21.677×10-239.616
4.28×10-25.556×10-23.299×10-240.609
), ArticleFig(id=1322282047201194400, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 3, caption=

Factors, code and levels of Plackett-Burman experiment

, figureFileSmall=null, figureFileBig=null, tableContent=
Levelν(X1)ρ(X2)/(g/cm3)E(X3)/MPaσs(X4)/MPaEt (X5)/MPaσb(X6)/MPaτs(X7)/MPaμs(X8)μr(X9)
-10.2801.065.2110.2463.6781.2940.6330.3230.063
10.4021.106.9570.5274.5452.3240.8130.4050.071
), ArticleFig(id=1322282047272497569, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表3, caption=

Plackett-Burman实验因素、编码与水平

, figureFileSmall=null, figureFileBig=null, tableContent=
Levelν(X1)ρ(X2)/(g/cm3)E(X3)/MPaσs(X4)/MPaEt (X5)/MPaσb(X6)/MPaτs(X7)/MPaμs(X8)μr(X9)
-10.2801.065.2110.2463.6781.2940.6330.3230.063
10.4021.106.9570.5274.5452.3240.8130.4050.071
), ArticleFig(id=1322282047511572898, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 4, caption=

Experimental design scheme and results

, figureFileSmall=null, figureFileBig=null, tableContent=
Test No.X1X2X3X4X5X6X7X8X9FS/N
10.281.15.2110.5274.5451.2940.8130.4050.07116.489
20.281.065.2110.2463.6781.2940.6330.3230.06315.662
30.281.16.9570.2464.5452.3240.8130.3230.06324.47
40.4021.15.2110.5274.5452.3240.6330.3230.06320.938
50.281.066.9570.2464.5452.3240.6330.4050.07124.69
60.4021.065.2110.2464.5451.2940.8130.4050.06315.249
70.4021.16.9570.2463.6781.2940.8130.3230.07113.886
80.281.065.2110.5273.6782.3240.8130.3230.07121.056
90.4021.066.9570.5273.6782.3240.8130.4050.06322.725
100.4021.066.9570.5274.5451.2940.6330.3230.07114.171
110.4021.15.2110.2463.6782.3240.6330.4050.07120.676
120.281.16.9570.5273.6781.2940.6330.4050.06317.08
), ArticleFig(id=1322282047591264675, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表4, caption=

实验设计方案与结果

, figureFileSmall=null, figureFileBig=null, tableContent=
Test No.X1X2X3X4X5X6X7X8X9FS/N
10.281.15.2110.5274.5451.2940.8130.4050.07116.489
20.281.065.2110.2463.6781.2940.6330.3230.06315.662
30.281.16.9570.2464.5452.3240.8130.3230.06324.47
40.4021.15.2110.5274.5452.3240.6330.3230.06320.938
50.281.066.9570.2464.5452.3240.6330.4050.07124.69
60.4021.065.2110.2464.5451.2940.8130.4050.06315.249
70.4021.16.9570.2463.6781.2940.8130.3230.07113.886
80.281.065.2110.5273.6782.3240.8130.3230.07121.056
90.4021.066.9570.5273.6782.3240.8130.4050.06322.725
100.4021.066.9570.5274.5451.2940.6330.3230.07114.171
110.4021.15.2110.2463.6782.3240.6330.4050.07120.676
120.281.16.9570.5273.6781.2940.6330.4050.06317.08
), ArticleFig(id=1322282047670956452, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 5, caption=

Analysis of variance of experimental results

, figureFileSmall=null, figureFileBig=null, tableContent=
Source

Sum of

squares

Degree of

freedom

Mean squareF-valuep-value
Model171.19919.02100.920.0098**
X111.61111.6161.580.0159*
X20.0010.000.00010.9934
X34.0314.0321.370.0438*
X40.393910.39392.090.2852
X52.0212.0210.710.082
X6147.131147.13780.550.0013**
X70.036110.03610.19140.7045
X83.7713.7720.000.0465*
X92.2212.2211.750.0756
Residual0.37720.1885
Cor total171.5711
), ArticleFig(id=1322282047742259621, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表5, caption=

实验结果方差分析

, figureFileSmall=null, figureFileBig=null, tableContent=
Source

Sum of

squares

Degree of

freedom

Mean squareF-valuep-value
Model171.19919.02100.920.0098**
X111.61111.6161.580.0159*
X20.0010.000.00010.9934
X34.0314.0321.370.0438*
X40.393910.39392.090.2852
X52.0212.0210.710.082
X6147.131147.13780.550.0013**
X70.036110.03610.19140.7045
X83.7713.7720.000.0465*
X92.2212.2211.750.0756
Residual0.37720.1885
Cor total171.5711
), ArticleFig(id=1322282047935197607, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 6, caption=

Factors, coding and levels of Box-Behnken experiment

, figureFileSmall=null, figureFileBig=null, tableContent=
Load speed/(mm·min-1)LevelX1X3X6X8
5

-1

0

1

0.2804.3351.1200.323
0.3415.3621.2880.364
0.4026.3691.4560.405
25

-1

0

1

0.2805.2111.2940.323
0.3415.6911.5580.364
0.4026.1711.8220.405
50

-1

0

1

0.285.3731.5940.323
0.3416.3571.8690.364
0.4027.3412.1440.405
100

-1

0

1

0.285.8451.7180.323
0.3416.4012.0210.364
0.4026.9572.3240.405
), ArticleFig(id=1322282048006500776, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表6, caption=

Box-Behnken实验因素、编码与水平

, figureFileSmall=null, figureFileBig=null, tableContent=
Load speed/(mm·min-1)LevelX1X3X6X8
5

-1

0

1

0.2804.3351.1200.323
0.3415.3621.2880.364
0.4026.3691.4560.405
25

-1

0

1

0.2805.2111.2940.323
0.3415.6911.5580.364
0.4026.1711.8220.405
50

-1

0

1

0.285.3731.5940.323
0.3416.3571.8690.364
0.4027.3412.1440.405
100

-1

0

1

0.285.8451.7180.323
0.3416.4012.0210.364
0.4026.9572.3240.405
), ArticleFig(id=1322282048107164073, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 7, caption=

Box-Behnken experimental design schemes and response values under different loading speeds

, figureFileSmall=null, figureFileBig=null, tableContent=
Test No.X1X3X6X8Fs/N

5 mm/

min

25 mm/min50 mm/min100 mm/min
1-1-10017.932818.767520.049521.5450
21-10017.618117.023618.877219.7779
3-110019.441319.032421.448422.8094
4110017.142416.583818.263020.4098
500-1-116.380916.240118.559919.7890
6001-119.562019.865221.435523.0912
700-1117.264116.735918.940719.7980
8001120.297021.028222.252223.6087
9-100-118.677718.292720.720821.6919
10100-116.905615.658618.871819.9412
11-100119.051119.388320.946122.0541
12100116.938616.286118.59920.4137
130-1-1016.785215.439418.306119.7264
1401-1017.308616.030818.983119.9587
150-11018.986320.397620.8522.5014
16011020.583220.745322.280523.7294
17-10-1017.477016.504319.139320.5941
1810-1015.116313.315617.178618.5195
19-101020.235520.219722.822723.9381
20101018.877320.111020.697421.9792
210-10-117.970718.024318.480221.3214
22010-118.799017.569520.86922.0309
230-10117.942018.870920.160621.3094
24010118.812718.760721.170621.6715
25000018.533318.446220.006321.6088
26000018.613618.969121.269822.5170
27000018.537517.834221.09921.9413
28000018.313918.222019.287121.4683
29000017.512417.910218.872720.1035
), ArticleFig(id=1322282048195244458, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表7, caption=

不同加载速度下Box-Behnken实验设计方案与响应值

, figureFileSmall=null, figureFileBig=null, tableContent=
Test No.X1X3X6X8Fs/N

5 mm/

min

25 mm/min50 mm/min100 mm/min
1-1-10017.932818.767520.049521.5450
21-10017.618117.023618.877219.7779
3-110019.441319.032421.448422.8094
4110017.142416.583818.263020.4098
500-1-116.380916.240118.559919.7890
6001-119.562019.865221.435523.0912
700-1117.264116.735918.940719.7980
8001120.297021.028222.252223.6087
9-100-118.677718.292720.720821.6919
10100-116.905615.658618.871819.9412
11-100119.051119.388320.946122.0541
12100116.938616.286118.59920.4137
130-1-1016.785215.439418.306119.7264
1401-1017.308616.030818.983119.9587
150-11018.986320.397620.8522.5014
16011020.583220.745322.280523.7294
17-10-1017.477016.504319.139320.5941
1810-1015.116313.315617.178618.5195
19-101020.235520.219722.822723.9381
20101018.877320.111020.697421.9792
210-10-117.970718.024318.480221.3214
22010-118.799017.569520.86922.0309
230-10117.942018.870920.160621.3094
24010118.812718.760721.170621.6715
25000018.533318.446220.006321.6088
26000018.613618.969121.269822.5170
27000018.537517.834221.09921.9413
28000018.313918.222019.287121.4683
29000017.512417.910218.872720.1035
), ArticleFig(id=1322282048358822315, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 8, caption=

Box-Behnken experimental design schemes and response values under different loading speeds

, figureFileSmall=null, figureFileBig=null, tableContent=
Sourcep-value
5 mm/min25 mm/min50 mm/min100 mm/min
Model<0.0001**<0.0001**0.0002**<0.0001**
X1<0.0001**<0.0001**<0.0001**<0.0001**
X30.0014**0.90870.0166*0.0263*
X6<0.0001**<0.0001**<0.0001**<0.0001**
X80.12170.0067**0.19710.5877
X1X30.0137*0.48590.15390.5489
X1X60.17650.0074**0.90360.9121
X1X80.63630.64180.71470.9162
X3X60.14970.80810.58150.3499
X3X80.95290.73150.31930.7409
X6X80.83630.50900.74890.6291
X120.0126*0.0030**0.20600.0699
X320.51140.74640.75860.9726
X620.79270.94800.62420.8148
X820.98270.99230.77510.9386
Lack of fit0.86850.46130.99310.9997
), ArticleFig(id=1322282050044932526, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表8, caption=

不同加载速度下的回归模型方差分析

, figureFileSmall=null, figureFileBig=null, tableContent=
Sourcep-value
5 mm/min25 mm/min50 mm/min100 mm/min
Model<0.0001**<0.0001**0.0002**<0.0001**
X1<0.0001**<0.0001**<0.0001**<0.0001**
X30.0014**0.90870.0166*0.0263*
X6<0.0001**<0.0001**<0.0001**<0.0001**
X80.12170.0067**0.19710.5877
X1X30.0137*0.48590.15390.5489
X1X60.17650.0074**0.90360.9121
X1X80.63630.64180.71470.9162
X3X60.14970.80810.58150.3499
X3X80.95290.73150.31930.7409
X6X80.83630.50900.74890.6291
X120.0126*0.0030**0.20600.0699
X320.51140.74640.75860.9726
X620.79270.94800.62420.8148
X820.98270.99230.77510.9386
Lack of fit0.86850.46130.99310.9997
), ArticleFig(id=1322282050128818607, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 9, caption=

Target values, optimization parameters, and errors of shear force under different loading speeds

, figureFileSmall=null, figureFileBig=null, tableContent=

Load speed/

(mm·min-1)

Mean shear

strength/MPa

Shear force corresponding to a

thickness of 2.91 mm/N

E/MPaσb/MPaSimulation value/NRelative error/%
50.630918.36014.6911.34318.1551.117
250.676319.68075.8321.74719.5270.781
500.686019.96286.8991.78120.3281.829
1000.694520.21126.9441.81120.4271.068
), ArticleFig(id=1322282050204316080, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表9, caption=

不同加载速度下剪切力的目标值与优化参数及误差

, figureFileSmall=null, figureFileBig=null, tableContent=

Load speed/

(mm·min-1)

Mean shear

strength/MPa

Shear force corresponding to a

thickness of 2.91 mm/N

E/MPaσb/MPaSimulation value/NRelative error/%
50.630918.36014.6911.34318.1551.117
250.676319.68075.8321.74719.5270.781
500.686019.96286.8991.78120.3281.829
1000.694520.21126.9441.81120.4271.068
), ArticleFig(id=1322282050292396465, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 10, caption=

Theoretical constitutive parameters under a load speed of 200 mm/min

, figureFileSmall=null, figureFileBig=null, tableContent=
Ε/MPaσs/MPaΕt/MPaσb/MPaτs/MPaρ/(g·cm-3)νμsμr
7.0950.5144.4131.8410.6931.0800.3410.3640.067
), ArticleFig(id=1322282050380476851, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表10, caption=

200 mm/min加载速度下的理论本构参数

, figureFileSmall=null, figureFileBig=null, tableContent=
Ε/MPaσs/MPaΕt/MPaσb/MPaτs/MPaρ/(g·cm-3)νμsμr
7.0950.5144.4131.8410.6931.0800.3410.3640.067
), ArticleFig(id=1322282050451780020, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=EN, label=Table 11, caption=

Comparison between experimental values and simulation values of samples with different thicknesses at 200 mm/min

, figureFileSmall=null, figureFileBig=null, tableContent=
Thickness/mmExperimental value/NSimulation value/NError/%
2.8421.7420.4146.099
2.8121.8721.581.326
3.1421.9223.2325.985
3.3425.1223.0488.248
), ArticleFig(id=1322282050523083189, tenantId=1146029695717560320, journalId=1220038251117760515, articleId=1322282033460654376, language=CN, label=表11, caption=

200 mm/min不同厚度样本实验值与仿真值对比

, figureFileSmall=null, figureFileBig=null, tableContent=
Thickness/mmExperimental value/NSimulation value/NError/%
2.8421.7420.4146.099
2.8121.8721.581.326
3.1421.9223.2325.985
3.3425.1223.0488.248
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基于ANSYS/LS-DYNA的海带力学参数与损伤模型
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张智豪 1, 2 , 洪扬 2, 3 , 朱烨 2, 3 , 杨猛 2, 3 , 刘平 2, 3 , 江涛 2, 3 , 谌志新 2, 3 , 陈军 2, 3
材料工程 | 研究论文 2026,54(7): 316-329
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材料工程 |研究论文 2026 , 54 (7) : 316 -329
基于ANSYS/LS-DYNA的海带力学参数与损伤模型
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张智豪1, 2, 洪扬2, 3 , 朱烨2, 3, 杨猛2, 3, 刘平2, 3, 江涛2, 3, 谌志新2, 3, 陈军2, 3
作者信息
  • 1.上海海洋大学 工程学院,上海 201306
  • 2.中国水产科学研究院渔业机械仪器研究所,上海 200092
  • 3.农业农村部渔业装备与工程技术重点实验室,上海 200092
通讯作者:
洪扬(1991—),男,助理研究员,硕士,主要从事渔业设施与装备研究,联系地址:上海市杨浦区赤峰路63号中国水产科学研究院渔业机械仪器研究所(200092),E-mail:
陈军(1967—),男,研究员,主要从事渔业设施与装备研究,联系地址:上海市杨浦区赤峰路63号中国水产科学研究院渔业机械仪器研究所(200092),E-mail:
Mechanical parameters and damage model of kelp based on ANSYS/LS-DYNA
Zhihao ZHANG1, 2, Yang HONG2, 3 , Ye ZHU2, 3, Meng YANG2, 3, Ping LIU2, 3, Tao JIANG2, 3, Zhixin CHEN2, 3, Jun CHEN2, 3
Affiliations
  • 1.College of Engineering Science and Technology,Shanghai Ocean University,Shanghai 201306,China
  • 2.Fishery Machinery and Instrument Research Institute,Chinese Academy of Fishery Sciences,Shanghai 200092,China
  • 3.Key Laboratory of Fishery Equipment and Engineering(Ministry of Agriculture and Rural Affairs),Shanghai 200092,China
出版时间: 2026-07-20 doi: 10.11868/j.issn.1001-4381.2025.000493
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海带是海洋中最常见的大型藻类,其存在对船舶和深海探测设备等存在螺旋桨缠绕风险,且生长阶段可作为海岸防护材料、收获后作为食品和化工等原料,因此亟须对其进行水动力学分析和损伤过程的力学研究,但在相关研究中缺乏精准的力学模型。本工作通过实验测得新鲜成熟海带关键力学参数,采用弹塑性本构结合主应力失效的方法,基于ANSYS/LS-DYNA软件,构建了新鲜海带力学模型。结果表明:海带剪切破坏过程表现为从局部渐进撕裂转向突发性断裂,验证性实验与仿真对比,最大误差为8.248%;弹性模量、屈服强度、切线模量、拉伸强度和剪切强度随加载速度的增加呈非线性增长,应变率效应显著;弹性模量、拉伸强度、泊松比、静摩擦因数是影响海带力学模型的关键参数;经应用范围分析,海带极限拉伸强度为2.445 MPa,极限剪切强度为0.693 MPa。结合加载速度、弹塑性本构、主应力失效方法构建的海带力学模型为涉及海带力学特性相关研究提供一定的理论基础。

海带  /  剪切  /  参数标定  /  有限元

Kelp is one of the most common large macroalgae in the ocean. Its presence poses a risk of propeller entanglement for ships, deep-sea exploration equipment, and other such assets. During its growth phase, it can be used as a coastal protection material, and after harvesting, it serves as a raw material for food, chemical industry, and other sectors. Therefore, there is an urgent need to conduct hydrodynamic analysis and mechanical research on its damage process. However, there is a lack of accurate mechanical models in relevant studies. In this paper, key mechanical parameters of fresh and mature kelp were measured through experiments. By adopting the method of combining elasto-plastic constitutive model with principal stress failure, a mechanical model for fresh kelp is established based on the ANSYS/LS-DYNA software. The results show that: the shear failure process of kelp is characterized by a transition from local progressive tearing to sudden fracture; comparison between verification tests and simulations reveals a maximum error of 8.248%; elastic modulus, yield strength, tangent modulus, tensile strength, and shear strength exhibit non-linear growth with increasing loading rate, showing a significant strain rate effect; elastic modulus, tensile strength, Poisson's ratio, and static friction coefficient are the key parameters influencing the kelp mechanical model; through application range analysis, the ultimate tensile strength of kelp is 2.445 MPa, and its ultimate shear strength is 0.693 MPa. The kelp mechanical model established by integrating loading rate, elasto-plastic constitutive model, and principal stress failure method provides a certain theoretical basis for research related to the mechanical properties of kelp.

kelp  /  shear  /  parameter calibration  /  finite element
张智豪, 洪扬, 朱烨, 杨猛, 刘平, 江涛, 谌志新, 陈军. 基于ANSYS/LS-DYNA的海带力学参数与损伤模型. 材料工程, 2026 , 54 (7) : 316 -329 . DOI: 10.11868/j.issn.1001-4381.2025.000493
Zhihao ZHANG, Yang HONG, Ye ZHU, Meng YANG, Ping LIU, Tao JIANG, Zhixin CHEN, Jun CHEN. Mechanical parameters and damage model of kelp based on ANSYS/LS-DYNA[J]. Journal of Materials Engineering, 2026 , 54 (7) : 316 -329 . DOI: 10.11868/j.issn.1001-4381.2025.000493
海带(Saccharina japonica)是全球养殖规模最大的经济海藻品种,亦是中国海洋生态与渔业经济的关键物种之一[1-4]。海带的分类地位为植物界/褐藻门/褐藻纲/海带目/海带科/海带属/海带种,属于海洋大型藻类,一般叶长1.5~3.0 m、宽15~25 cm,最长者可达6 m、宽50 cm;养殖海带叶片长度多为2~3 m,宽约20 cm;成熟海带中带部厚度为2~4 mm。自然状态下,海带多生长在潮下带、透明度较好的岩石底水域,以柄部短的固着器附着于岩石上,叶片向上生长。在养殖条件下,海带柄固着在漂浮于水面以下的梗绳上,叶片向下漂浮生长。
海带的生态与工程价值体现在两个方面:作为一种能够有效分散海浪冲击力的生物载体,海带通过对海流、海浪等环境流体动力学过程的显著调控作用,可降低海岸侵蚀风险,为基于自然的海岸防护技术提供了重要生物支撑[5-7];同时,其广泛的海洋分布特性也使其成为海洋工程活动中不可忽视的影响因素,例如在船舶推进系统、水下探测器作业中易发生缠绕现象,进而干扰设备正常运行[8-11]。同时,作为经济型海藻在机械化采收中的切割效应直接关乎效率与成本,当前针对此类相关研究却存在明显不足:一是力学参数与损伤机制研究不足。在海带收割装备研发领域,现有研究如捋切式切刀[12]、1/4反复旋转式切割装置[13-14]、锯齿形割刀[15]等多聚焦于刀具本身的结构优化,未将海带自身的力学特性纳入设计参数体系,导致刀具与海带生物力学特性的适配性缺乏理论支撑,制约了采收效率与能耗优化。二是水动力学研究中替代材料的局限性。为简化实验流程,研究者常采用硅胶片[16]、聚氯乙烯(PVC)片[17]、热塑性聚氨酯(TPU)薄膜[18]等相似材料模拟海带的水动力学行为,但此类材料的力学特性(如拉伸强度、弹性模量等)与真实海带存在显著差异,导致实验数据难以准确反映海带在复杂流场中的变形规律与受力响应,影响了相关理论模型的可靠性。
海带是质构连续的生物材料,其力学模型主要包括本构模型和失效模型,建立精准的力学模型需要解决应力和变形等问题,而有限元分析(finite element analysis,FEA)是将现实中具有无限自由度的连续体,通过离散化处理为有限个形状规则的单元(即网格划分),每个单元视为独立的力学模型,通过节点连接形成整体计算模型,利用数学近似的方法对真实物理系统开展模拟,将复杂的物理学问题转化为计算机可处理的代数方程组求解[19-21],其基于连续性的假设能贴合海带无离散间隙的结构本质,故本工作采用有限元法构建海带力学模型。在有限元分析软件中,ANSYS/LS-DYNA是一款有限元显式的求解软件,可以解决高度非线性结构动力学问题,连续动态地展现仿真对象的变化过程[22-25],可分析海带的剪切断裂机制。在其他藻类的有限元建模研究中,如紫菜[26]、裙带菜[27]等,均采用了该软件实现建模分析,进一步验证了其适用性。现有海带力学特性相关研究仍存在局限性:如陈天池[28]研究了拉伸强度、弹性模量与拉伸速率成正相关,未深入研究其数学关系;Lubsch等[29]仅研究了海带中间部位的拉伸强度,缺乏其他关键参数;Dobkow等[30]仅研究了拉伸强度、弹性模量等参数与形态存在相关性,没有考虑拉伸速率的影响。这些研究均未能构建起完整的海带力学参数模型,无法为海带的有限元仿真提供全面支撑。
上述研究的缺乏不仅限制了海带在海岸防护、海洋工程等领域的高效应用,也制约了海带机械化收割技术的迭代升级。因此,开展海带力学参数及其损伤机制的系统性研究,对于突破工程实践瓶颈、提升科学研究精度具有重要理论价值与应用前景。本工作以筏式养殖成熟海带作为研究对象,围绕海带力学特性开展仿真研究,基于实验数据标定LS-DYNA 5~100 mm/min加载速度下的仿真参数,构建加载速度与力学参数的拟合曲线,通过200 mm/min加载速度的实验验证拟合曲线的误差,最终建立精确的海带力学模型。该研究成果可为海洋运输及深海探测设备螺旋桨缠绕分析、海带水动力学分析、抗海岸侵蚀生物材料研发等领域提供理论与技术支撑。
实验所用海带为国家水产新品种“海带205”(Haidai 205),样本于2025年4月采自威海荣成爱伦湾养殖区(37°10′N,122°35′E),生长期约6个月。随机选取完整的、无破损的海带,将其表面的泥渍用海水清洁后,截取易被撕裂的典型部位作为实验样本(靠近柄底部位置截取0.3 m(图1(a))),置于干净、6 ℃左右的海水中,于20 min内运回实验室,在室温10 ℃左右下,用哑铃形切刀根据图1(b)所示,将海带样本切割成标准的哑铃型形状(图1(c)),并确保切割面平整。
通过Archimedes排水法测量海带样本的密度(ρ)[31-32]。采用视频引伸计测量泊松比(ν)[33-37],主要过程为:采用带孔隔板,向哑铃型海带样本喷涂黄色喷漆,形成有序散斑(图2(a));采用BASLER(aca1920-155ucMED)高速相机连续拍摄海带拉伸全过程的变形情况;对照片像素尺寸标定,经机器视觉处理获取散斑位移数据,获得哑铃型海带样本长、宽的变化情况(图2(b)),通过式(1)计算得到泊松比。
ν=-εxεy=-d-d0d0L-L0L0=Δdd0L0ΔL
式中:ν为泊松比;εx为垂直于力方向的应变(即横向应变);εy为平行于力方向的应变(即纵向应变);L为样本拉伸时的长度;ΔL为样本拉伸时长度的增量;L0为样本上散斑的原始长度;d为样本拉伸时的宽度;Δd为样本拉伸时宽度的减小量;d0为样本上散斑的原始宽度。
采用微机控制电子万能试验机(WDW-2型,图3(a))对海带样本品进行力学性能测试:搭配杠杆式夹具(图3(a),(b))测量海带样品力-位移曲线及工程应力-应变曲线;搭配剪切平台(图3(d)~(f))测量样品的剪切强度与剪切力。两组实验均依次选用5、25、50、100、200 mm/min的加载速度开展5组实验,每组实验重复5次。
采用斜面提升法[38]测定海带与刀具材料的静摩擦因数。用长500 mm、宽300 mm的430不锈钢板,将海带试样静置在斜面上,逐渐增加斜面倾角,当物体刚好有滑动趋势时,根据数显角度尺测得实验台斜面与水平面的夹角α(图4(a)),重复实验10次,通过式(2),(3)得到海带的静摩擦因数μs。
采用斜面滚动法测定海带与刀具材料的动摩擦因数。用两块长500 mm、宽300 mm的430不锈钢板,将其按图4(b)所示摆放,将海带样本(海带体为片状,不会与刀具材料产生滚动现象,故选取海带柄开展实验)从斜面距离S处以初速度为0自由向下滚动,待海带样本在水平位置停止后记录水平滚动距离L。通过预实验确定试样在斜面上滚动距离S=60 mm,倾斜角度β=20°,根据式(4),(5)得到滚动摩擦因数μr。
Gmsin α=μsGmcos α
μs=tan α
mgSsinβ=μrmgScosβ+L
μr=SsinβScosβ+L
式中:Gm为试样的重力; m为样本质量;g为重力加速度。
构建海带力学模型主要分为两个部分:本构模型和失效模型。本构模型是描述材料在外力作用下,其内部力学响应规律的数学表达式。生物材料与大部分工程材料力学特性存在本质差异:工程材料多以弹塑性响应为主,变形的时间依赖性较弱,应力仅与应变相关,应变率的影响可忽略;而生物材料普遍具备黏弹性特征,应力同时受应变与应变率共同作用,呈现为蠕变(恒应力下应变随时间持续增长)和应力松弛(恒应变下应力随时间逐步衰减)现象[39],如苹果[40]、葡萄[41]等。作为典型的褐藻生物材料,海带的黏弹性已被陈天池[28]通过盐渍海带实验证实,但本工作针对新鲜海带的单轴拉伸实验呈现出阶段特性(即弹性阶段与塑性阶段),根据图5应力-应变曲线可知海带的弹性部分符合胡克定律,且塑形部分的曲线与切线模量的拟合R2为0.997。根据这一实验特征出发,尽管海带本质存在黏弹性,但在同一加载速度下弹塑性模型足以精确描述其变形行为,故本工作采用不同加载速度拟合弹塑性模型参数的方法构建海带的本构模型。
失效模型是用于描述材料在外力作用下从正常过渡到破坏的判断体系。等效应力(Von Mises应力)是张量分量的标量函数,它能给出张量恰当的整体大小,常用于延性工程材料的失效分析[42],袁亚豪[43]、Irudayaraj等[44]提出可将其应用于农业材料。从应力状态的关联来看,已有研究采用单轴压缩实验结果,预测材料在三轴载荷作用下的破坏点和破坏量[45],这一结论同样适用于海带的力学分析。由于等效应力分析遵循Von Mises失效准则,而单轴拉伸与单轴压缩同属于简单应力状态(仅一个方向受力),根据等效应力公式(6),当海带处于单轴拉伸状态时(即σ1=σ,σ2=0,σ3=0时),其主应力等于等效应力(即σ=σVon)。这一关键特性可从易操作的单轴拉伸实验中获取主应力数据并推测非单轴载荷下海带的力学响应。因此,基于等效应力原理的主应力失效方法,既符合海带的应力状态关联规律,又具备实验可行性,故用于构建海带的失效模型。
σVon=12σ1-σ22+σ2-σ32+σ3-σ12
结合万能试验机所测力-位移曲线图,并采用式(7)~(11)计算海带的工程应力-应变曲线和真实应力-应变曲线(图5(a))。由图5(b)可知,A-B段为弹性变形阶段,斜率(tanα)为弹性模量(E),B点为屈服点,对应屈服强度(σs),B-C段为塑形变形阶段,斜率(tan β)为切线模量(Et),C点为断裂点拉伸强度(σb)。根据剪切实验测得的剪切力通过式(12)计算剪切强度(τ)。根据上述方法,可构建海带本构参数模型,经统计部分参数与加载速度(load speed)有关,具体数据如表1所示。
σe=FA0
εe=ΔLL0=Lt-L0L0
A0L0=AtLt
σt=FAt=FA0A0At=σeA0L0AtL0=σeLtL0=σe(1+εe)
εt=∫L0LtdLL=lnLtL0=ln(1+εe)
τ=FSA0
式中:σe为海带样本单轴拉伸时的工程应力;F为海带样本受到的轴向拉力;A0为海带样本的原始截面积;εe为海带样本单轴拉伸时的工程应变;为海带样本增加长度;Lt为海带样本拉伸过程中的长度;L0为海带样本的初始长度; At为海带样本在拉伸过程中的截面积;σt为海带样本拉伸时的真实应力;εt为海带样本单轴拉伸时的真实应变;τ为海带样本剪切强度;FS为海带样本剪切时受到的最大力。
将实验过程中的剪切平台简化,通过ANSYS/Space Claim软件建立哑铃型海带剪切装置的简化三维模型。基于实验数据标定、优化ANSYS/LS-DYNA在 5~100 mm/min加载速度下的仿真参数,构建加载速度与力学参数的数学模型,通过实验验证200 mm/min加载速度下该模型仿真结果与真实值误差。在材料属性设置中,根据5~100 mm/min相关参数依据表1中的各数据输入至用户材料模块界面列表;后续分析过程中,可根据实际需求调整修改。为实现哑铃型海带样本的剪切仿真,约束设置如下:哑铃型海带样本两端为固定支撑;下刀具的底端为固定支撑;上刀具沿y轴向下恒速运动(经实验测试,加载速度单因素对剪切力的最大影响误差约2.08%,综合考量,本工作仿真采用运行时间0.02 s,位移3 mm,此时误差约1.02%),约束其他5个自由度。网格划分采用粗细网格结合的方式划分网格,即海带与刀具的接触范围内细化网格(单元定义尺寸为0.25 mm),其余部位粗化网格(图6),约3.16万个节点和12.49万个单元。海带样本剪切有限元仿真的本质是通过主应力失效(即材料主应力方向上的应力到达某一极限值时发生失效,被判定为失效的网格在计算中被删除)实现海带的剪切,故设置刀具与海带样本的接触特性为侵蚀接触,生时间(接触激活时间)为0 s,死亡时间(接触失效时间)为10 s(死亡时间远大于分析时间均可);接触类型为摩擦接触,静、动摩擦因数按照表1取值。
已知剪切力受海带材料厚度的影响,若以实验测得的剪切力均值作为目标值标定,无法保证参数准确性。故本工作以海带均值厚度(2.91 mm)为基准,将不同加载速度下海带剪切强度所对应的剪切力作为目标值。由于海带的本构模型参数较多,为减少实验次数,利用Design Expert开展Plackett-Burman因素筛选实验[46],以剪切力为响应值,筛选出对响应值影响显著的因素(由于仿真中本构参数的切线模量不能大于弹性模量,100 mm/min加载速度时的切线模量的最大值4.545 MPa大于5 mm/min加载速度时的弹性模量的最小值4.355 MPa,选择25 ~100 mm/min加载速度下的参数开展Plackett-Burman因素筛选实验),对其各因素开展高、低水平编码,设计实验并仿真计算结果。以Plackett-Burman因素筛选实验结果的显著因素,开展Box-Behnken不同加载速度的实验,其余不显著因素采取各速度下的均值。
通过图7(a)可以看出,海带的弹性范围较窄,约占总应变的10%~20%,在拉伸断裂过程中,塑性变形占主导地位。对于以塑性变形为主的材料,屈服点(屈服强度)是表征其从弹性阶段过渡到塑性阶段的关键指标,而拉伸强度则反映了材料抵抗断裂的极限能力,因此屈服强度和拉伸强度在海带剪切特性分析中十分关键。
此外,在材料力学中,加载速度直接对应应变率,根据图7(b)~(f)可以看出,海带的弹性模量、屈服强度、切线模量、拉伸强度和剪切强度均随加载速度的增加呈非线性的增长趋势,即参数随应变率升高而增大。这符合应变率效应的典型特征,即材料力学性能会因变形速度的改变而改变,这一特性对于分析海带在动态载荷作用下的力学响应具有重要意义。
由式(13)可知,平均应变率其本质为单位时间内应变的大小,可用于剖析材料在宏观变形阶段的力学响应规律,如弹性模量、切线模量与应变率之间的关系。根据实验结果,平均应变率与加载速度呈线性关系(如图8(a)所示)。因此,可直接构建加载速度与弹性模量、切线模量的非线性拟合曲线。
屈服点、拉伸强度等瞬态特性参数的分析,可根据式(15)开展真实应变率分析。由图8(a)~(c)可知,在整个变形过程中,真实应变率呈下降趋势,且其下降幅度与平均应变率呈正相关(表2)。这表明加载速度的改变会通过影响真实应变率的衰减规律,直接作用于材料在关键瞬态点的力学响应。此外,在对应平均应变率的变形过程中,加载速度保持恒定,而真实应变率为加载速度的函数,因此可直接构建加载速度与屈服点、拉伸强度的非线性拟合曲线。
ε˙avg=εtt=ln1+εet
ε˙avg=0.00021v+0.00027
ε˙=dεtdt=ddtln1+εe=ddtlnLL0=1LdLdt
式中:ε˙avg为平均真实应变率;t为变形总时长;ε˙为真实应变率(瞬时),其中ε˙0为真实应变率起始值,ε˙f为真实应变率结束值;dLdt为试件瞬时长度变化率(即瞬时速度,由于实验是恒速的,可表示为速度v)。
Plackett-Burman因素筛选实验各因素开展高、低水平编码(表3),设计实验并仿真计算结果(表4)。表5为实验结果方差分析,样本模型的p值<0.01,表明模型极显著,其中X6极显著,X1、X3、X8显著,其余5个因素不显著。
为分析不同速度下4个显著因素的最优参数组合,依据Plackett-Burman实验结果,对X1、X3、X6、X8参数进行不同加载速度的响应面设计,其中不显著因素选取表1中的均值。实验评价指标为剪切力,每组加载速度下分别进行29组仿真实验。实验因素编码表与实验结果如表6和表7所示。根据表7结果进行多元回归拟合[46],建立不同加载速度下海带剪切力与X1、X3、X6、X8编码值的二次多项式回归模型,如式(16)~(19)所示。
F5=18.30-0.8514X1+0.4043X3+1.52X6+0.1675X8-0.4961X1X3+0.2506X1X6-0.0851X1X8+0.2684X3X6+0.0106X3X8-0.0371X6X8-0.3954X12+0.0932X32+0.0370X62+0.0031X82
F25=18.28-1.10X1+0.0166X3+2.34X6+0.4516X8
-0.1762X1X3+0.7700X1X6-0.1170X1X8-0.0609X3X6+0.0862X3X8+0.1668X6X8-0.6940X12+0.0638X32-0.0128X62-0.0019X82
F50=20.11-1.05X1+0.5242X3+1.60X6+0.2610X8-0.5032X1X3-0.0412X1X6-0.1245X1X8+0.1884X3X6-0.3447X3X8+0.1090X6X8-0.3477X12-0.0821X32+0.1313X62+0.0764X82
F100=21.53-0.9659X1+0.3690X3+1.71X6+0.0825X8-0.1581X1X3+0.0289X1X6+0.0276X1X8+0.2489X3X6-0.0868X3X8+0.1271X6X8-0.3967X12-0.0071X32+0.0483X62-0.0158X82
对回归模型进行方差分析,结果如表8所示。4个剪切力回归模型的显著性水平p值均小于0.01,可知模型极显著;失拟项显著水平的p值均大于0.05,表明回归模型的拟合度较高可用回归模型代替实验真实点对结果进行分析。4个模型的决定系数R2分别为0.9598、0.9633、0.8913、0.9301,说明4个模型的R2均处于较高水平,故海带剪切力可以用该模型进行优化。
参数对回归模型方程的影响程度可以通过显著性水平p值进行评价。在4个回归模型方程中4个因素对剪切力影响的显著性为拉伸强度>泊松比>弹性模量和静摩擦因数。根据图9可以看出,在不同速度下,各显著参数对剪切力的影响趋势相同,证明选取25 ~100 mm/min进行Plackett-Burman实验成立。其中泊松比与剪切力成反比,其余三项参数与剪切力成正比。
在因素水平范围内,利用Design Expert软件寻优功能对参数进行优化。根据海带均值厚度(2.91 mm)不同加载速度下海带剪切强度所对应的剪切力如表7所示,基于该目标值对5个模型进行求解。通过多次仿真验证,最终选取与目标值最接近的一组解,泊松比为0.358,静摩擦因数为0.361时,5、25、50、100 mm/min加载速度下的弹性模量分别为4.691、5.832、6.899、6.944 MPa,拉伸强度分别为1.343、1.747、1.781、1.811 MPa,如表9所示。结果显示,仿真结果的相对误差最大为1.829%,这表明该组解具有较高的可靠性。基于上述优化实验所获取的参数,针对随加载速度变化的5个本构参数进行拟合处理(如图10所示),拟合函数为式(20)~(24)。
在工程应用领域中,应变率按其范围可以分为如下五类:当应变率<10-5 s-1时,属于静态/蠕变范围;当应变率介于10-4~10-2 s-1时,属于准静态范围;当应变率介10-1~101 s-1时,属于中应变率范围;当应变率介于102~104 s-1时,属于高应变率范围;而当应变率达到105 s-1时,则属于极高应变率范围[47]。应用海带力学参数进行分析时,一般难以达到极高应变率,以应变率105 s-1为极限,根据式(14)算得不同应变率对应的加载速度,将加载速度带入式(20)~(24)可算得当应变率达到极高应变率(105 s-1)时,海带拉伸强度为2.445 MPa,剪切强度为0.693 MPa。
E=7.09638-2.97617×0.96124v
σs=-0.23263+0.13802ln (v+23.85934)
Et=0.8267ln (39.26198ln (v))
σb=1.62413+0.04109ln (v-4.99893)
τs=0.6928-0.08411e-0.06199v
以拟合函数求解获得的200 mm/min加载速度下的本构参数(表10)为依据开展仿真分析。仿真结果与实验结果对比如表11所示,结果显示,两者最大误差为8.248%,表明本研究构建的新鲜海带弹塑性本构结合主应力失效的力学模型具有可行性。基于该模型进一步分析海带剪切过程中的等效应力分布特征(图11)。由图11(a)可知,上下刀具与海带初始接触,因几何约束和载荷传递,接触区域迅速产生应力集中,说明此时材料以弹性变形为主,应力集中于接触界面附近;由图11(b)可知,随剪切位移的增加,海带所受应力增大,上下接触部位应力值高于中间,呈现“两端高、中间低”的应力分布特征;图11(c)为剪切力到达峰值时的应力状态,因海带上下部位应力率先突破极限,发生局部失效,但整体未完全断裂,结构仍有承载能力;图11(d)为海带样本剪切完成图,在0.423~0.675 s内剪切力骤降,虽过程中略有波动,却未超0.423 s时的力峰值,说明在0.423 s发生的局部破坏在剪切力的作用下快速扩展,失效模式从局部渐进损伤转为整体断裂,其剩余的承载能力不足以抵抗剪切,因此力值未超过峰值。
(1)弹性模量、屈服强度、切线模量、拉伸强度和剪切强度均随加载速度的增加呈非线性增长,有显著的应变率效应。
(2)弹性模量、拉伸强度、泊松比、静摩擦因数是影响海带力学模型的关键参数。其中泊松比为0.358、静摩擦因数为0.361时,5、25、50、100 mm/min加载速度下的弹性模量分别为4.691、5.832、6.899、6.944 MPa,拉伸强度分别为1.343、1.747、1.781、1.811 MPa,其余参数选取实验均值,仿真最大误差为1.829%。
(3)本工作采用弹塑性本构结合主应力失效拟合速度的方法构建了新鲜海带力学模型,研究表明其剪切失效模式从局部渐进撕裂转向整体断裂,验证性实验与仿真对比,最大误差为8.248%。
(4)在极高应变率(105 s-1)时,海带拉伸强度为2.445 MPa,剪切强度为0.693 MPa。
  • 国家重点研发计划(2023YFD2400800)
  • 现代农业产业技术体系建设专项资金(CARS-50)
  • 中国水产科学研究院中央级公益性科研院所基本科研业务费专项资金资助(2023TD86)
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2026年第54卷第7期
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doi: 10.11868/j.issn.1001-4381.2025.000493
  • 接收时间:2025-09-01
  • 首发时间:2026-10-28
  • 出版时间:2026-07-20
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  • 收稿日期:2025-09-01
  • 录用日期:2025-10-15
基金
国家重点研发计划(2023YFD2400800)
现代农业产业技术体系建设专项资金(CARS-50)
中国水产科学研究院中央级公益性科研院所基本科研业务费专项资金资助(2023TD86)
作者信息
    1.上海海洋大学 工程学院,上海 201306
    2.中国水产科学研究院渔业机械仪器研究所,上海 200092
    3.农业农村部渔业装备与工程技术重点实验室,上海 200092

通讯作者:

洪扬(1991—),男,助理研究员,硕士,主要从事渔业设施与装备研究,联系地址:上海市杨浦区赤峰路63号中国水产科学研究院渔业机械仪器研究所(200092),E-mail:
陈军(1967—),男,研究员,主要从事渔业设施与装备研究,联系地址:上海市杨浦区赤峰路63号中国水产科学研究院渔业机械仪器研究所(200092),E-mail:
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2种不同金属材料的力学参数
科
Family
属数
Number of
genus
种数
Number of
species
占总种数比例
Percentage of
total species (%)
属
Genus
种数
Number of
species
占总种数比例
Percentage of total
species (%)
鹅膏菌科Amanitaceae 2 11 5.26 鹅膏菌属 Amanita 10 4.78
小菇科 Mycenaceae 2 12 5.74 丝盖伞属 Inocybe 5 2.39
多孔菌科 Polyporaceae 8 14 6.70 蜡蘑属 Laccaria 5 2.39
红菇科 Russulaceae 3 23 11.00 小皮伞属 Marasmius 6 2.87
小菇属 Mycena 11 5.26
光柄菇属 Pluteus 5 2.39
红菇属 Russula 17 8.13
栓菌属 Trametes 5 2.39
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