半无穷大裂纹端部粘聚力分析

王利民; 徐世烺

半无穷大裂纹端部粘聚力分析

王利民^1,2,
徐世烺²

1.
山东理, 工大学, 建工系, 力学组, 山东淄博 255012;
2.
大连理工大学, 土木工程系, 大连 116024

基金项目: 国家973资助项目(2002CB412709);国家自然科学基金资助项目(10272068,50178015);山东省自然科学基金资助项目(Y202A02)

详细信息

作者简介:
王利民(1962),男,山东济南章丘人,教授,博士,主要从事结构材料损伤与断裂的研究(E-mail:wangliminsz@263.net);徐世(火良)(1953),男,教授,博士导师,国家教育部长江学者奖励计划特聘教授,主要从事结构工程与材料方面的研究(E-mail:slxu@dlut.edu.cn).

中图分类号: O346.1
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出版历程
- 收稿日期: 2001-12-24
- 修回日期: 2003-04-25
- 刊出日期: 2003-08-15

Analysis on the Cohesive Stress at Half Infinite Crack Tip

WANG Li-min^1,2,
XU Shi-lang²

1.
Mechanics Department, Shandong University of Technology, Zibo, Shandong 255012, P. R. China;
2.
Department of Civil Engineering, Dalian University of Technology, Dalian 116024, P. R. China

摘要

摘要: 准脆性材料裂纹端部断裂过程区粘聚力是导致非线性断裂特性的重要原因,根据准脆性材料的断裂特性,对存在粘聚力分布的半无穷大裂纹力学分析模型,由变形叠加原理得到以该粘聚应力分布为未知函数的积分方程,通过对积分方程的分析推证,得到了该分布函数解的数学结构和级数型表达式;提出了由实际裂纹张开位移,确定裂纹端部粘聚力分布函数的两种方法:其一由连续的裂纹张开位移通过积分变换求解未知函数级数展开项的系数,其二是由离散的裂纹张开位移数据通过最小二乘法确定该函数;推导出了相应方法求解未知量的代数方程,并且给出了适当的算例和讨论。
- 准脆性材料 /
- 裂纹粘聚力 /
- 积分方程 /
- 最小二乘法 /
- 积分变换 /
- 代数方程
Abstract: The nonlinear fracture behavior of quasi-brittle materials is closely related with the cohesive force distribution of fracture process zone at crack tip.Based on fracture character of quasi-brittle materials,a mechanical analysis model of half infinite crack with cohesive stress is presented.A pair of integral equations is established according to the superposition principle of crack opening displacement in solids,and the fictitious adhesive stress is unknown function.The properties of integral equations are analyzed,and the series function expression of cohesive stress is certified.By means of the data of actual crack opening displacement,two approaches to gain the cohesive stress distribution are proposed through resolving algebra equation.They are the integral transformation method for continuous displacement of actual crack opening,and the least square method for the discrete data of crack opening displacement.The calculation examples of two approaches and associated discussions are given.
- quasi-brittle material /
- crack cohesive force /
- integral equation /
- method of least squares /
- integral transformation method /
- algebra equation

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参考文献(11)

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