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The formula of rectangular specimen tensile stress under splitting loads can be deduced by the Fourier series solution of the elastic plane problem. To compare the theoretical solution and the finite element solution, a dimensional finite element model of the rectangular specimen is built under the same loading conditions. The stress distribution and the impact of the width of spacer and the width to length ratio are analyzed. It is shown that results of the theoretical solution and the finite element solution are consistent. The maximum tensile stress does not appear in the center of the specimen but in a certain point with coordinates. The maximum tensile stress decreases with the increasing of the width of spacer and the width to length ratio b/a . The tensile stress distribution patterns of cylindrical specimen and square specimen are consistent, but the tensile stress of the square specimen is greater than that of the cylindrical specimen. It is proved that the splitting stress distribution of rectangular rock obtained by the Fourier series analysis method is consistent with the rock-like material splitting experimental results., correspAuthors=null, authorNote=null, correspAuthorsNote=null, copyrightStatement=null, copyrightOwner=null, extLink=null, articleAbsUrl=null, sourceXml=null, magXml=null, pdfUrl=null, pdf=f2ArmNhYCz6gnEL1Rex/5Q==, pdfFileSize=2075210, 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=School of Mechanics and Engineering Science, Zhengzhou University, Zhengzhou 450001, China, fund=null, authors=WANG Zhi, ZHANG Jingfei, DU Yunhai, authorsList=WANG Zhi, ZHANG Jingfei, DU Yunhai), CN=ArticleExt(id=1242131654173598561, articleId=1242131652751732905, tenantId=1146029695717560320, journalId=1146031591421210625, 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科技导报
| 研究论文 2014, 32(7): 39-43
长方形岩石劈裂应力分析
全屏
王志, 张景飞, 杜云海
作者信息
通讯作者:
杜云海,教授,研究方向为断裂力学,电子信箱:zzu_dyh@zzu.edu.cn
Splitting Stress Analysis of Rock with Rectangular Shape
Affiliations
出版时间: 2014-03-08
doi: 10.3981/j.issn.1000-7857.2014.07.005
文章导航
提出一种基于弹性力学平面问题傅里叶级数的长方形岩石劈裂应力解析方法。为了与该傅里叶级数解析方法比较,建立了相同劈裂载荷条件下长方形岩石三维有限元模型,分析了劈裂试件的应力分布,以及试件宽长比、垫条宽度对劈裂试件应力分布的影响。结果表明,两种方法的分析结果一致,劈裂试件的最大拉应力未出现在试件中心,而是出现在试件x =0 对称轴上靠近边界的某一点;最大拉应力随着垫条宽度2c 和试件宽长比b/a 的增加而减小;正方形试件的最大拉应力大于圆柱形试件的最大拉应力。通过类岩石材料劈裂实验,证明了该傅里叶级数解析方法描述的长方形岩石劈裂应力分布规律与实验结果相符。
长方形岩石
/
劈裂应力
/
傅里叶级数解析方法
/
三维有限元模型
The stress distribution of rectangular rock under split loads is an important research topic of rock mechanics. The formula of rectangular specimen tensile stress under splitting loads can be deduced by the Fourier series solution of the elastic plane problem. To compare the theoretical solution and the finite element solution, a dimensional finite element model of the rectangular specimen is built under the same loading conditions. The stress distribution and the impact of the width of spacer and the width to length ratio are analyzed. It is shown that results of the theoretical solution and the finite element solution are consistent. The maximum tensile stress does not appear in the center of the specimen but in a certain point with coordinates. The maximum tensile stress decreases with the increasing of the width of spacer and the width to length ratio b/a . The tensile stress distribution patterns of cylindrical specimen and square specimen are consistent, but the tensile stress of the square specimen is greater than that of the cylindrical specimen. It is proved that the splitting stress distribution of rectangular rock obtained by the Fourier series analysis method is consistent with the rock-like material splitting experimental results.
rectangular rock
/
splitting stress
/
Fourier series analysis method
/
dimensional finite element model
王志, 张景飞, 杜云海.
长方形岩石劈裂应力分析.
科技导报,
2014
, 32
(7)
: 39
-43
.
DOI: 10.3981/j.issn.1000-7857.2014.07.005
WANG Zhi, ZHANG Jingfei, DU Yunhai.
Splitting Stress Analysis of Rock with Rectangular Shape[J].
Science & Technology Review ,
2014
, 32
(7)
: 39
-43
.
DOI: 10.3981/j.issn.1000-7857.2014.07.005
2014年第32卷第7期
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文章信息
doi: 10.3981/j.issn.1000-7857.2014.07.005
接收时间:2013-08-30
首发时间:2014-03-26
出版时间:2014-03-08
收稿日期:2013-08-30
修回日期:2014-01-21
通讯作者:
杜云海,教授,研究方向为断裂力学,电子信箱:zzu_dyh@zzu.edu.cn
https://castjournals.cast.org.cn/joweb/kjdb/CN/10.3981/j.issn.1000-7857.2014.07.005
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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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