平面正交各向异性材料弹塑性问题的基本解  

Fundamental solutions of elastoplastic problems for plane orthotropic materials

作　　者：孙秀山[1] 岑章志[1] 

机构地区：[1]清华大学工程力学系,北京100084

出　　处：《清华大学学报（自然科学版）》2002年第11期1500-1503,共4页Journal of Tsinghua University(Science and Technology)

基　　金：国家自然科学基金资助项目(19572037)

摘　　要：根据已有的正交各向异性材料平面弹性问题的位移基本解,推导了此类材料平面弹塑性问题普遍意义下的基本解,即这些基本解不仅包括了弹性与塑性情况,而且还可以直接用于各向同性和正交各向异性情况。在求解塑性区域内点应力时,引入了一种处理内点奇异积分的解析方法,并给出了相应的积分结果,这一结果同样也可直接适用于各向同性情况。上述结果为使用边界元法分析平面正交各向异性材料弹塑性问题奠定了基础。Existing fundamental solutions for displacements of plastic problems were used to determine the general fundamental solutions of elastoplastic problems for plane orthotropic materials, which include not only elastic and plastic problems but also isotropic and orthotropic materials. An analytical method was developed to solve singular integrals to calculate internal point stresses in the plastic area. The results can also be applied to isotropic materials, which provide a basis for analyzing elastoplastic problems for plane orthotropic materials with the boundary element method.

关 键 词：平面正交各向异性材料 弹塑性问题 基本解 平面应力 边界无法 内点应力 位移 

分 类 号：O344.3[理学—固体力学]