正交各向异性材料的弹塑性损伤本构关系  

THE ELASTO-PLASTIC DAMAGE CONSTITUTIVE RELATIONS OF ORTHOTROPIC MATERIALS

作　　者：傅衣铭[1] 田燕萍[1] 

机构地区：[1]湖南大学力学与航空航天学院,长沙410082

出　　处：《力学学报》2009年第1期67-75,共9页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金资助项目(10872066)~~

摘　　要：基于弹塑性力学和损伤理论,建立了一个与应力球张量有关的正交各向异性材料的混合硬化屈服准则,该准则无量纲化后与各向同性材料的Mises准则同构,在此基础上,进而建立了混合硬化正交各向异性材料的增量型弹塑性损伤本构方程,并以具局部损伤的正交各向异性矩形薄板为例,采用Galerkin法和迭代法,对其弹塑性屈曲问题进行了分析,讨论了局部损伤对正交各向异性矩形薄板弹塑性屈曲临界应力的影响.Based on the elasto-plastic mechanics and continuum damage theory, a yield criterion that relates to the spherical tensor of stress is proposed to describe the mixed hardening of damaged orthotropic materials, and the dimensionless form of which is isomorphic with the Mises criterion of isotropic materials. Furthermore, the incremental elasto-plastic damage constitutive equations are established. As an example of its application, the elasto-plastic buckling problem of the orthotropic rectangular thin plates with local damage are investigated by using the Galerkin method and iteration method, and the effects of geometric parameters and local damage on the critical buckling stress are discussed.

关 键 词：弹塑性 正交各向异性薄板 损伤 增量理论 弹塑性屈曲 

分 类 号：O344.3[理学—固体力学]