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陈常青, 王晓明, 沈亚鹏. 线弹性孔洞问题的一种半解析解[J]. 力学学报, 1995, 27(2): 151-160. DOI: 10.6052/0459-1879-1995-2-1995-418
引用本文: 陈常青, 王晓明, 沈亚鹏. 线弹性孔洞问题的一种半解析解[J]. 力学学报, 1995, 27(2): 151-160. DOI: 10.6052/0459-1879-1995-2-1995-418
Changqing Chen, . A VARIATIONAL METHOD TO SOLUTION OF LINEAR ELASTIC PROBLEM WITH VOID[J]. Chinese Journal of Theoretical and Applied Mechanics, 1995, 27(2): 151-160. DOI: 10.6052/0459-1879-1995-2-1995-418
Citation: Changqing Chen, . A VARIATIONAL METHOD TO SOLUTION OF LINEAR ELASTIC PROBLEM WITH VOID[J]. Chinese Journal of Theoretical and Applied Mechanics, 1995, 27(2): 151-160. DOI: 10.6052/0459-1879-1995-2-1995-418

线弹性孔洞问题的一种半解析解

A VARIATIONAL METHOD TO SOLUTION OF LINEAR ELASTIC PROBLEM WITH VOID

  • 摘要: 在研究材料的损伤行为中,常常要考虑到孔洞效应,本文利用一组能满足内椭圆孔应力自由边界条件的罗朗级数,建立与外边界相适应的泛函,通过变分求泛函驻值或极值来求得相应问题,推广到双周期排列孔洞模型可得到损伤孔洞模型的等效杨氏模量和等效泊松比。

     

    Abstract: This paper utilizes two Laurrent’s series which satisfy the conditions of notraction on inner elliptical boundary,and sets up functions.It turns out that the otherboundary conditions can be satisfied provided that the variation of the functions equals zero.With the variational approaching,the elastic problem with void is resovled.Furthermore,this method is applied to the model of periodical distributed void,the effective modulus andthe effctive Poisson’s ratios have been obtained.

     

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