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Article(id=1149776965026148992, tenantId=1146029695717560320, journalId=1146123166801305609, issueId=1149776900194791454, articleNumber=null, orderNo=null, doi=10.12404/j.issn.1671-1815.2402853, pmid=null, cstr=null, oa=null, hot=null, price=null, onlineType=0, articleFormat=0, articleType=null, articleTypeStr=research-article, receivedDate=1713456000000, receivedDateStr=2024-04-19, revisedDate=1721923200000, revisedDateStr=2024-07-26, acceptedDate=null, acceptedDateStr=null, onlineDate=1752057790284, onlineDateStr=2025-07-09, pubDate=1744905600000, pubDateStr=2025-04-18, doiRegisterDate=null, doiRegisterDateStr=null, onlineIssueDate=1752057790284, onlineIssueDateStr=2025-07-09, onlineJustAcceptDate=null, onlineJustAcceptDateStr=null, onlineFirstDate=null, onlineFirstDateStr=null, sourceXml=null, magXml=null, createTime=1752057790284, creator=13701087609, updateTime=1752057790284, updator=13701087609, issue=Issue{id=1149776900194791454, tenantId=1146029695717560320, journalId=1146123166801305609, year='2025', volume='25', issue='11', pageStart='4397', pageEnd='4826', issueExtLink='null', onlineDate='null', pubDate='null', beforeIssueId=null, nextIssueId=null, price=null, status=1, issueComplete=1, articleOrder=1, issueType=-1, specialIssue=0, createTime=1752057774827, creator=13701087609, updateTime=1768456666677, updator=13701087609, preIssue=null, nextIssue=null, ext={EN=IssueExt(id=1218558837930512931, tenantId=1146029695717560320, journalId=1146123166801305609, issueId=1149776900194791454, language=EN, specialIssueTitle=, coverIllustrator=, specialIssueEditor=, specialIssueAbout=), CN=IssueExt(id=1218558837930512932, tenantId=1146029695717560320, journalId=1146123166801305609, issueId=1149776900194791454, language=CN, specialIssueTitle=, coverIllustrator=, specialIssueEditor=, specialIssueAbout=)}, issueFiles=null}, startPage=4706, endPage=4712, ext={EN=ArticleExt(id=1149776965214892673, articleId=1149776965026148992, tenantId=1146029695717560320, journalId=1146123166801305609, language=EN, title=Establishment and Development of Elastic-plastic Constitutive Model of Gas Hydrate-bearing Sediments, columnId=1156262729917780302, journalTitle=Science Technology and Engineering, columnName=Papers·Architectural Science, runingTitle=null, highlight=null, articleAbstract=

The stress-strain characteristics of gas hydrate-bearing sediments (GHBS) are essential for achieving safe and secure extraction of marine natural gas hydrate. To quantitatively investigate the influence of hydrate formation on the mechanical properties of GHBS, laboratory tests were conducted under different confining pressures and various hydrate saturations, and it was found that hydrate primarily enhanced the cohesive strength of GHBS, while the internal friction angle remained relatively unchanged. To comprehensively describe the intricate mechanical properties of GHBS, the previously established elastic-plastic constitutive model was employed for predictive purposes. A comparative analysis revealed that the constitutive model exhibited a certain level of applicability. Subsequently, a computer program was developed for the constitutive model by leveraging the UMAT user material subroutine interface provided by ABAQUS. The program was written in FORTRAN language and integrated into ABAQUS, facilitating the implementation of the constitutive model. To validate the effectiveness and stability of the developed model, finite element simulations were conducted on single elements as well as triaxial specimens of GHBS. The results of these simulations confirm the efficacy and reliability of the developed model.

, correspAuthors=Qing-meng YUAN, 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, authorCompany=null, fund=null, authors=null, authorsList=Zheng-bo JIANG, Qing-meng YUAN, Zhou-xing LI), CN=ArticleExt(id=1149776978724745954, articleId=1149776965026148992, tenantId=1146029695717560320, journalId=1146123166801305609, language=CN, title=水合物沉积物弹塑性本构模型的建立及开发, columnId=1156262730517565784, journalTitle=科学技术与工程, columnName=论文·建筑科学, runingTitle=null, highlight=null, articleAbstract=

明晰水合物沉积物(gas hydrate-bearing sediments, GHBS)的应力-应变特征,是实现海域天然气水合物安全开采的重要前提。为定量探究水合物的生成对GHBS力学特性的影响,通过室内试验测试了不同围压和不同水合物饱和度的影响,结果表明,水合物主要增大了GHBS的黏聚强度,而内摩擦角大致不变。为表征GHBS复杂的力学特性,通过前期建立的弹塑性本构模型进行预测,对比发现本构模型具有一定的适用性。在此基础上,基于ABAQUS提供的UMAT用户材料子程序接口,利用FORTRAN语言编写了本构模型的计算机程序,植入ABAQUS中,实现了对本构模型的开发。对GHBS的单个单元和三轴试样进行有限元仿真,结果表明开发的本构模型是有效和稳定的。

, correspAuthors=袁庆盟, authorNote=null, correspAuthorsNote=
* 袁庆盟(1988—),男,汉族,山东济宁人,博士。研究方向:海洋岩土力学与工程。E-mail:。
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蒋正波(1984—),男,汉族,河南焦作人,硕士,工程师。研究方向:海洋岩土工程。E-mail:。

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蒋正波(1984—),男,汉族,河南焦作人,硕士,工程师。研究方向:海洋岩土工程。E-mail:。

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蒋正波(1984—),男,汉族,河南焦作人,硕士,工程师。研究方向:海洋岩土工程。E-mail:。

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Grade index

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试验材料 d10/μm d30/μm d50/μm d60/μm Cu=d60/d10 Cc= d 30 2/(d10d60)
Liu等[21] 0.043 0 0.101 2 0.2147 9 0.293 2 6.819 8 0.812 3
泥质粉砂 0.029 9 0.076 8 0.173 7 0.236 0 7.882 4 0.834 9
), ArticleFig(id=1218843905169216106, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1149776965026148992, language=CN, label=表1, caption=

级配指标

, figureFileSmall=null, figureFileBig=null, tableContent=
试验材料 d10/μm d30/μm d50/μm d60/μm Cu=d60/d10 Cc= d 30 2/(d10d60)
Liu等[21] 0.043 0 0.101 2 0.2147 9 0.293 2 6.819 8 0.812 3
泥质粉砂 0.029 9 0.076 8 0.173 7 0.236 0 7.882 4 0.834 9
), ArticleFig(id=1218843905274073718, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1149776965026148992, language=EN, label=Table 2, caption=

Test plan

, figureFileSmall=null, figureFileBig=null, tableContent=
编号 水合物饱和度Sh /% 有效围压σ'3/MPa
GHBS01 0、10、20、30 1
GHBS03 0、10、20、30 3
GHBS05 0、10、20、30 5
), ArticleFig(id=1218843905374737021, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1149776965026148992, language=CN, label=表2, caption=

试验方案表

, figureFileSmall=null, figureFileBig=null, tableContent=
编号 水合物饱和度Sh /% 有效围压σ'3/MPa
GHBS01 0、10、20、30 1
GHBS03 0、10、20、30 3
GHBS05 0、10、20、30 5
), ArticleFig(id=1218843905471206023, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1149776965026148992, language=EN, label=Table 3, caption=

Test parameters

, figureFileSmall=null, figureFileBig=null, tableContent=
压缩曲线
斜率λ		 回弹曲线
斜率κ		 泊松比μ 临界状态
应力比M		 1 kPa时
孔隙比N0		 孔隙比
比例系数
kN		 压硬性
参量参数
αr /MPa		 压硬性
参量系数
βr		 胶结强
度参数
αt /MPa		 胶结强
度系数βt		 胶结强
度衰退
速度a		 剪胀性
参数m
0.15 0.04 0.3 0.94 3.0 3.64 5.32 0.02 2.35 0.02 0.002 2.42
), ArticleFig(id=1218843905592840848, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1149776965026148992, language=CN, label=表3, caption=

试验参数表

, figureFileSmall=null, figureFileBig=null, tableContent=
压缩曲线
斜率λ		 回弹曲线
斜率κ		 泊松比μ 临界状态
应力比M		 1 kPa时
孔隙比N0		 孔隙比
比例系数
kN		 压硬性
参量参数
αr /MPa		 压硬性
参量系数
βr		 胶结强
度参数
αt /MPa		 胶结强
度系数βt		 胶结强
度衰退
速度a		 剪胀性
参数m
0.15 0.04 0.3 0.94 3.0 3.64 5.32 0.02 2.35 0.02 0.002 2.42
), ArticleFig(id=1218843905718669981, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1149776965026148992, language=EN, label=Table 4, caption=

Hyodo et al[26] calculated model parameters

, figureFileSmall=null, figureFileBig=null, tableContent=
压缩曲线
斜率λ		 回弹曲线
斜率κ		 泊松比μ 临界状态
应力比M		 1kPa时
孔隙比
N0		 孔隙比
比例系数
kN		 压硬性
参量参数
αr /MPa		 压硬性
参量系数
βr		 胶结强度
参数αt /MPa		 胶结强
度系数
βt		 胶结强度
衰退速度
a		 剪胀性
参数m
0.135 0.01 0.3 1.25 2.90 1.79 45.38 0.246 6 0.10 0 0.063 7 3.17
), ArticleFig(id=1218843905823527592, tenantId=1146029695717560320, journalId=1146123166801305609, articleId=1149776965026148992, language=CN, label=表4, caption=

Hyodo等 [26]计算模型参数

, figureFileSmall=null, figureFileBig=null, tableContent=
压缩曲线
斜率λ		 回弹曲线
斜率κ		 泊松比μ 临界状态
应力比M		 1kPa时
孔隙比
N0		 孔隙比
比例系数
kN		 压硬性
参量参数
αr /MPa		 压硬性
参量系数
βr		 胶结强度
参数αt /MPa		 胶结强
度系数
βt		 胶结强度
衰退速度
a		 剪胀性
参数m
0.135 0.01 0.3 1.25 2.90 1.79 45.38 0.246 6 0.10 0 0.063 7 3.17
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水合物沉积物弹塑性本构模型的建立及开发
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蒋正波 1 , 袁庆盟 2, 3, * , 李宙兴 1
科学技术与工程 | 论文·建筑科学 2025,25(11): 4706-4712
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科学技术与工程 | 论文·建筑科学 2025, 25(11): 4706-4712
水合物沉积物弹塑性本构模型的建立及开发
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蒋正波1 , 袁庆盟2, 3, * , 李宙兴1
作者信息
  • 1 深圳清华大学研究院海洋工程技术研发中心, 深圳 518000
  • 2 广州海洋地质调查局天然气水合物勘查开发国家工程研究中心, 广州 511458
  • 3 青岛理工大学理学院, 青岛 266033

    • 蒋正波(1984—),男,汉族,河南焦作人,硕士,工程师。研究方向:海洋岩土工程。E-mail:。

通讯作者:

* 袁庆盟(1988—),男,汉族,山东济宁人,博士。研究方向:海洋岩土力学与工程。E-mail:。
Establishment and Development of Elastic-plastic Constitutive Model of Gas Hydrate-bearing Sediments
Zheng-bo JIANG1 , Qing-meng YUAN2, 3, * , Zhou-xing LI1
Affiliations
  • 1 Marine Engineering Technology Research and Development Center Research, Institute of Tsinghua University in Shenzhen, Shenzhen 518000, China
  • 2 Guangzhou Marine Geological Survey, National Engineering Research Center for Gas Hydrate Exploration and Development, Guangzhou Marine Geological Survey, Guangzhou 511458, China
  • 3 School of Science, Qingdao University of Technology, Qingdao 266033, China
出版时间: 2025-04-18 doi: 10.12404/j.issn.1671-1815.2402853
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摘要
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明晰水合物沉积物(gas hydrate-bearing sediments, GHBS)的应力-应变特征,是实现海域天然气水合物安全开采的重要前提。为定量探究水合物的生成对GHBS力学特性的影响,通过室内试验测试了不同围压和不同水合物饱和度的影响,结果表明,水合物主要增大了GHBS的黏聚强度,而内摩擦角大致不变。为表征GHBS复杂的力学特性,通过前期建立的弹塑性本构模型进行预测,对比发现本构模型具有一定的适用性。在此基础上,基于ABAQUS提供的UMAT用户材料子程序接口,利用FORTRAN语言编写了本构模型的计算机程序,植入ABAQUS中,实现了对本构模型的开发。对GHBS的单个单元和三轴试样进行有限元仿真,结果表明开发的本构模型是有效和稳定的。

天然气水合物沉积物  /  黏聚强度  /  本构模型  /  模型开发  /  数值模拟

The stress-strain characteristics of gas hydrate-bearing sediments (GHBS) are essential for achieving safe and secure extraction of marine natural gas hydrate. To quantitatively investigate the influence of hydrate formation on the mechanical properties of GHBS, laboratory tests were conducted under different confining pressures and various hydrate saturations, and it was found that hydrate primarily enhanced the cohesive strength of GHBS, while the internal friction angle remained relatively unchanged. To comprehensively describe the intricate mechanical properties of GHBS, the previously established elastic-plastic constitutive model was employed for predictive purposes. A comparative analysis revealed that the constitutive model exhibited a certain level of applicability. Subsequently, a computer program was developed for the constitutive model by leveraging the UMAT user material subroutine interface provided by ABAQUS. The program was written in FORTRAN language and integrated into ABAQUS, facilitating the implementation of the constitutive model. To validate the effectiveness and stability of the developed model, finite element simulations were conducted on single elements as well as triaxial specimens of GHBS. The results of these simulations confirm the efficacy and reliability of the developed model.

gas hydrate-bearing sediments  /  cementation  /  constitutive model  /  model development  /  numerical simulation
蒋正波, 袁庆盟, 李宙兴. 水合物沉积物弹塑性本构模型的建立及开发. 科学技术与工程, 2025 , 25 (11) : 4706 -4712 . DOI: 10.12404/j.issn.1671-1815.2402853
Zheng-bo JIANG, Qing-meng YUAN, Zhou-xing LI. Establishment and Development of Elastic-plastic Constitutive Model of Gas Hydrate-bearing Sediments[J]. Science Technology and Engineering, 2025 , 25 (11) : 4706 -4712 . DOI: 10.12404/j.issn.1671-1815.2402853
正文
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天然气水合物是由天然气与水在高压低温条件下形成的类冰状的结晶物质,天然气水合物沉积物(gas hydrate bearing sediments,GHBS)是指含天然气水合物的深海沉积土体 [1],全球已探明天然气水合物的碳含量约为现有化石能源碳含量的两倍,是最具潜力和商业开发前景的清洁能源之一 [2]。加拿大、美国、日本和中国等国家已成功实施了试采 [3-4],为产业化发展奠定了坚实的基础。然而,由于水合物的稳定赋存条件极为严苛,温度和压力的变化很容易造成分解,如果快速析出的气体没有得到有效释放,GHBS的强度将迅速减小、超孔隙压力急剧增大,导致海床土体大范围的下沉、旋转和滑移,甚至引起海底滑坡,严重威胁水合物的安全开采。因此,准确的描述GHBS的变形特性,明确其工程力学特性,是水合物安全开采的重要前提。
目前对GHBS的测试有原位测试、室内试验这两种类型。原位测试方面,Winters等 [5-6]对比了美国阿拉斯加北坡、加拿大麦肯泽三角洲、印度东部近海和安达曼群岛水合物赋存区域GHBS的物理特性,试验方法包括红外成像、声波测试、热传导、电阻率测试、剪切强度测试等。日本在2004年开展了“日本Tokai-oki至Kumano-nada计划” [7],钻孔深度距海底250~400 m,勘探发现了“孔隙填充型水合物”,水合物饱和度最大可达80%,评估结果为“优质水合物储层” [8]。中国地质调查局组织了中国天然气水合物的调查勘探工作,2007年首次在南海北部神狐海域获取天然气水合物实物样品 [9]。由于原位取芯成本过高,同时受制于试验技术的局限,目前对GHBS的试验研究实际上以室内试验为主。很多学者做出了卓有成效的工作,如GHBS的三轴剪切试验 [10-13]、一维压缩试验 [14]、相似材料试验 [15]等。通过对上述现场原位试验和室内合成试样的试验规律进行分析和总结,可以发现,GHBS特殊的物理力学特性是水合物饱和度、基质材料类型、水合物赋存模式、温压条件、试样尺寸等因素共同作用的结果。
现场和室内的试验研究成果为深入研究GHBS的各项力学性质打下了坚实的基础,本构模型研究也随之开展起来。在经典本构模型框架中引入渐进损伤 [16]、强度退化 [17]等参量进行拓展,形成了水合物沉积物的非线弹性模型 [18]、临界状态模型 [17]、损伤统计模型 [19-20]等系列本构模型。本构模型的研究为解释和预测GHBS力学特性提供了理论依据,但目前的研究对水合物填充效应和胶结效应的描述往往过于简化,模型在参数确定上存在困难,并且计算较为复杂,同时,在大型商业软件中的应用并不多见,导致在解决具体工程问题的应用方面有所不足。
首先进行GHBS的室内试验,在试验数据的基础上,验证前期建立的GHBS弹塑性本构模型的适用性。然后,基于ABAQUS提供的UMAT用户材料子程序接口,利用FORTRAN语言编写本构模型的计算机程序,植入ABAQUS中,实现对本构模型的开发。最后,对GHBS的三轴试样进行有限元仿真,验证开发模型的有效性和稳定性。
1 GHBS的试验研究
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1.1 试验材料和试验方案
2017年8月在南海东北部—吕宋海峡共享航次第三航段中获取到了海底表层土,取样地点为YD2-04站位(经度115°16.407'E,纬度19°57.056'N),该处水深1 077 m,土性为软黏土。
中国已开展的2轮试采均在南海北部神狐海域,该区域的土性为泥质粉砂。根据该海域水合物分解后沉积物的粒径和矿物成分分析数据结果 [21],自行配制泥质粉砂模拟储层土体,进行室内试验研究,级配曲线见图1,级配指标见表1。对比可以看到,配制的泥质粉砂与成矿区储层土体的颗粒级配整体较为接近,基本符合南海成矿区储层土体的级配特性。除表1中列出指标外,所配制的泥质粉砂比重为2.659 0,试验制备的初始孔隙比为1.069 8。
试验设备采用高压低温水合物静三轴测试系统(environmental triaxial automated system,ETAS),利用含水率控制水合物的生成含量。取有效围压、水合物饱和度2个变量,进行12组固结排水试验,见表2。有效围压σ'3分别为1、3、5 MPa,每个有效围压下分别设置4个不同水合物饱和度Sh(0、10%、20%、30%),如表2所示。
1.2 试验结果
图2(a)所示的应力-应变曲线表明了GHBS样品在不同Sh水平和σ'3的力学行为。曲线表明,随着Sh的增加,GHBS的强度q逐渐增加。
此外,应力-应变曲线的形状随Sh而变化。不含任何水合物的Sh = 0的样品曲线显示了应变硬化行为;类似地,对于Sh = 10%,曲线表现出应变硬化行为,并显示出双曲线形状,这意味着曲线的斜率在初始加载后逐渐减小,直到达到稳定状态;当Sh增加到20%时,应力-应变曲线在应变εa=8%处达到峰值,但峰值前后强度无明显变化,εa>8%后,样品经历轻微软化,表现出强度的轻微下降;最后,当Sh = 30%时,软化现象变得更加明显,曲线呈现出驼峰状。这表明,在较低有效围压下,随着Sh的增大,GHBS将出现明显的软化现象。
图2(b)、图2(c)分别为σ'3=3 MPa和σ'3=5 MPa下的应力应变曲线,可以看到,与较低有效围压下的应力应变行为不同,稍高有效围压下,GHBS全部表现为应变硬化,且强度均随Sh增大而增大。除此之外,观察发现,GHBS的初始刚度总体上也表现出随Sh增大而增大的特性。与图2(a)相对比,有效围压的增加会显著影响应力应变曲线的形态,反映出有效围压对强度的贡献。这是因为,水合物分布于GHBS土骨架中,既可以填充土颗粒间的孔隙,又起到了胶结土颗粒的作用,即改变了GHBS的整体结构特性。在较低围压下,这种结构特征难以保持稳定,由此出现软化现象;而在高围压下,土骨架的整体性增强,体现为应变硬化特性。
以轴向应变εa=15%对应的数值为破坏强度值,根据图2所示的GHBS应力应变关系,分别绘制对应的莫尔圆,可得到黏聚强度c和内摩擦角φ。
绘制c、φ与Sh的关系曲线如图3所示,可以看到,c和Sh满足较好的指数关系,而φ基本与Sh无关,表达式为
c = 0.3903 S h 0.3339 φ = 18.30 °
式(1)为以M-C(Mohr-Coulomb)准则描述的GHBS破坏准则。可以看出,抗剪强度随着Sh和σ'3增大而增大,结合对应力应变曲线的分析可知,其机理是水合物为GHBS提供了附加强度,从而提高了黏聚力,但对颗粒之间摩擦特性影响不大,因此内摩擦角基本不变。
2 本构模型的建立和开发
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2.1 本构模型介绍
文献 [22]通过引入压硬性参量描述水合物填充和胶结双重作用对GHBS压硬性的影响,引入黏聚强度修正屈服函数,利用状态参数调整剪胀方程,反映GHBS剪胀、软化等特性对密实度的依赖性,对CSUH模型进行拓展,从而建立能够描述GHBS强度、刚度、剪胀与软化等特性的弹塑性本构模型。
屈服函数表示为
f = l n p + p t p 0 + p r + l n p + p r p + p t + η 2 M 2 - H e c p = 0
式(2)中:p为平均主应力;p0为p的初始平均主应力;pt和pr为引入的黏聚强度和压硬性参量;η为应力比 η=q/(p+pt);M为临界状态应力比;H为统一硬化参数;e为当前孔隙比;cp=( λ - κ)/(1+e),λ和κ为压缩曲线和回弹曲线的斜率。
统一硬化参数H的表达式为
H = ∫ 1 R ( η ) d ε p v = ∫ M f 4 - η 4 M 4 - η 4 d ε p v
M f = M e x p ( m ξ )
式中:R(η)为比例系数; ε p v为塑形体积应变; m为剪胀性参数; ξ为状态参数,其详细构造过程见文献 [22]。
采用关联流动法则,推导得到刚度矩阵,进行程序编制后即可迭代计算获取预测应力应变曲线。
选取有效围压σ'3=3 MPa时不同Sh以及Sh=20%时不同σ'3的GHBS应力应变数据进行对比,模型参数见表3。
图4所示为不同Sh的模型预测曲线与本文GHBS试验数据对比图,通过对比可以看到,本文构建的弹塑性本构模型与试验数据有着较好的一致性。在Sh较小时,抗剪强度持续增加,Sh较大时,在εa=15%时基本保持稳定。模型能够描述GHBS不同Sh情况下的硬化特性。
图5所示为相同Sh条件下不同σ'3时的对比图,对比可知,模型预测能够描述GHBS的强度和刚度随σ'3增大而增大的特性。在εa较小时,应力应变曲线的斜率较大,强度增幅较快,随着的εa增加,强度依然在增大,但增速降低,这是由于GHBS的黏聚强度发生动态变化所引起的。
2.2 模型开发与测试
本构模型数值积分算法主要分为显式积分算法和隐式积分算法 [23]。显式积分算法相对简单,代码易编写且有较好的稳定性 [24]。本文中采用显式算法中的向前Euler积分算法,在给定了第n步的一组总应变、塑性应变、等效塑性应变即(εn、 ε n p、qn),以及时间增量Δt内的应变增量 Δ ε = Δ t ε ·,得到第n+1步的(εn+1、 ε n + 1 p、qn+1)。向前Euler积分算法 [25]可表示为
ε n + 1 = ε n + Δ ε ε p n + 1 = ε p n + Δ λ n r n q n + 1 = q n + Δ λ n h n σ n + 1 = D ( ε n + 1 - ε p n + 1 ) = σ n + D e p Δ ε
式(5)中:λ为塑性参数;r(σ,q)为塑性流动方向,一般为r(σ,q)=∂g/∂σ,q为硬化参数;g为塑性势函数;h为子步硬化参数增量;D为四阶弹性刚度矩阵,Dep为刚度矩阵。
利用FORTRAN语言编写本构模型的计算机程序,以UMAT用户材料子程序形式植入ABAQUS中。基于表3中的参数进行单个单元验证,得到广义剪应力云图如图6所示。解析解和umat数值解的对比如图7所示。对比可知,在20%应变处,利用UMAT计算得到的q数值为4 157、Mises应力数值为4 140,根据本构模型刚度矩阵计算得到的剪应力解析解为4 281,UMAT子程序计算精度达到97%。
2.3 模型验证
为进一步验证植入ABAQUS中UMAT子程序的适用性,采用三轴剪切试验进行模拟,与Hyodo等 [26]的试验数据进行对比验证。
建立直径50 mm、高度100 mm的三轴试样有限元计算模型,网格剖分图见图8。模型底面约束法向位移,模型侧面施加围压,顶面施加15%高度的位移(15 mm)作为位移荷载。计算参数如表4所示。
选取自上而下第2层截面的中心点,导出计算结果,图9为计算得到的数值解与Hyodo等的试验数据对比。
对比可知,有限元数值解与试验数据有着较好的对比性,能够合理反映不同Sh条件下GHBS的应力与应变之间的关系,可以描述剪切过程中的体积变化规律。此外,观察曲线形态可知,较大Sh条件下,GHBS更容易出现软化和剪胀现象。结合式(1)可知,Sh越大,GHBS黏聚强度也越大,即GHBS的结构特性越强,当围压相对较小时,更容易出现渐近线结构破坏,从而出现软化现象,伴随着体积的膨胀。
通过数据对比可知,UMAT计算结果与模型理论解和室内试验数据有着比较好的一致性,说明本文对模型的开发和植入过程是正确的,具有较好的适用性。计算过程中程序运行稳定,表明所采用和实现的应力更新算法是有效和比较强健的。
3 结论
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(1)开展了12组GHBS的室内试验,试验结果表明:随着水合物饱和度的增加,GHBS的应变软化特性趋于明显;水合物的主要贡献在于增大了黏聚力,但内摩擦角基本不变。
(2)利用前期建立的弹塑性本构模型进行预测和对比,结果表明:本构模型具有一定的适用性,能够描述GHBS特殊的力学性质。
(3)采用向前Euler积分算法,编写弹塑性本构模型的计算机程序,植入到ABAQUS中,单个单元和三轴试样的有限元计算测试表明:建立与开发的弹塑性本构模型编写正确,计算精度较高。
基金
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  • 广东省重大人才工程项目(2021ZT09H390)
  • 深圳市高层次人才团队项目(KQTD20200820113011026)
  • 深圳市国际合作研究项目(GJHZ20220913142612023)
  • 南山区高层次创新人才团队支持计划(LHTD2021000X)
  • 广州海洋地质调查局局长基金(2023GMGSJZJJ00002)
文献
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2025年第25卷第11期
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doi: 10.12404/j.issn.1671-1815.2402853
  • 接收时间：2024-04-19
  • 首发时间：2025-07-09
  • 出版时间：2025-04-18
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出版历史
  • 收稿日期：2024-04-19
  • 修回日期：2024-07-26
基金
广东省重大人才工程项目(2021ZT09H390)
深圳市高层次人才团队项目(KQTD20200820113011026)
深圳市国际合作研究项目(GJHZ20220913142612023)
南山区高层次创新人才团队支持计划(LHTD2021000X)
广州海洋地质调查局局长基金(2023GMGSJZJJ00002)
作者信息
    1 深圳清华大学研究院海洋工程技术研发中心, 深圳 518000
    2 广州海洋地质调查局天然气水合物勘查开发国家工程研究中心, 广州 511458
    3 青岛理工大学理学院, 青岛 266033

通讯作者:

* 袁庆盟(1988—),男,汉族,山东济宁人,博士。研究方向:海洋岩土力学与工程。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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