Elasto-plastic postbuckling of damaged orthotropic plates  

作　　者：田燕萍 傅衣铭 

机构地区：[1]College of Mechanics and Aerospace,Hunan University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2008年第7期841-853,共13页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.10572049)

摘　　要：Based on the elasto-plastic mechanics and continuum damage theory, a yield criterion related to spherical tensor of stress is proposed to describe the mixed hardening of damaged orthotropic materials. Its dimensionless form is isomorphic with the Mises criterion for isotropic materials. Furthermore, the incremental elasto-plastic damage constitutive equations and damage evolution equations are established. Based on the classical nonlinear plate theory, the incremental nonlinear equilibrium equations of orthotropic thin plates considering damage effect are obtained, and solved with the finite difference and iteration methods. In the numerical examples, the effects of damage evolution and initial deflection on the elasto-plastic postbuckling of orthotropic plates are discussed in detail.Based on the elasto-plastic mechanics and continuum damage theory, a yield criterion related to spherical tensor of stress is proposed to describe the mixed hardening of damaged orthotropic materials. Its dimensionless form is isomorphic with the Mises criterion for isotropic materials. Furthermore, the incremental elasto-plastic damage constitutive equations and damage evolution equations are established. Based on the classical nonlinear plate theory, the incremental nonlinear equilibrium equations of orthotropic thin plates considering damage effect are obtained, and solved with the finite difference and iteration methods. In the numerical examples, the effects of damage evolution and initial deflection on the elasto-plastic postbuckling of orthotropic plates are discussed in detail.

关 键 词：orthotropic plates elasto-plastic damage elasto-plastic postbuckling mixed hardening incremental theory 

分 类 号：O346.5[理学—固体力学]