正交各向异性材料的混合硬化弹塑性本构方程  

The Constitutive Equations for Mixed Hardening Orthotropic Material

作　　者：刘腾喜[1] 黄世清[1] 傅衣铭[1] 

机构地区：[1]湖南大学工程力学系

出　　处：《应用数学和力学》2003年第2期192-196,共5页Applied Mathematics and Mechanics

摘　　要：　建立了混合硬化正交各向异性材料的屈服准则,进而推导了与之相关的塑性流动法则·　根据简单应力状态的实验曲线,可得到广义等效应力＿应变关系·　初始屈服曲面与材料的弹性常数有关,材料退化为各向同性且只考虑各向同性硬化时,屈服函数退化为Huber＿Mises屈服函数。A dimensionless stress yield criterion is proposed to describe the mixed hardening of orthotropic material,including kinematic hardening and proportional hardening, and the associated plastic flow law is derived. The generalized effective stress_strain formulae can be obtained correspondingly based on the experimental stress_strain curves in various simple stress states. The initial plastic anisotropy is influenced by the elastic anisotropy. The yield criterion can be reduced to Huber_Mises Criterion for isotropic materials and associated constitutive equations can be degenerated into Prandtl_Reuss equations.

关 键 词：正交各向异性材料 混合硬化 弹塑性 本构方程 

分 类 号：TB301[一般工业技术—材料科学与工程] O344.1[理学—固体力学]