考虑损伤效应的正交各向异性板的弹塑性静动力分析  

Elasto-Plastic Static/Dynamic Analysis of Orthotropic Plates with Damage Effects

作　　者：傅衣铭[1] 田燕萍[1] 

机构地区：[1]湖南大学,长沙410082

出　　处：《应用力学学报》2008年第4期541-546,共6页Chinese Journal of Applied Mechanics

基　　金：国家自然科学基金(10572049)

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,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和损伤演化方程。基于经典Kirchhoff板理论,获得了正交各向异性薄板的增量型运动控制方程,且采用有限差分法和迭代法进行求解。数值算例中,讨论了损伤演化、外载荷参数等因素对正交各向异性薄板弹塑性静动力性质的影响,数值结果表明,考虑结构的损伤和损伤演化时,结构的力学性质将发生显著的变化。Based on the elasto-plastic mechanics and continuum damage theory, a yield criterion related 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 Mises criterion of isotropic materials. The incremental elasto-plastic damage constitutive equations and damage evolution equations are established. Following the classical Kirchhoff theory of plates, the incremental governing motion equations of orthotropic thin plates are obtained. In the numerical examples, the effect of damage evolution and external applied load parameters on the elasto-plastic static/dynamic mechanical properties of orthotropic thin plates are discussed, and the mechanical properties of structures change remarkably as considering the damage and damage evolution.

关 键 词：正交各向异性板 弹塑性损伤 混合硬化 增量理论 静动力分析 

分 类 号：O344[理学—固体力学]