小变形的Lagrange型弹塑性本构模型  

A Lagrangian Constitutive Relation of Plasticity at Infinitesimal Strain

作　　者：扶名福[1] 刘光宗[1] 陈良森[1] 

机构地区：[1]南昌大学工程力学实验中心,江西南昌330031

出　　处：《南昌大学学报（工科版）》2008年第3期248-253,共6页Journal of Nanchang University(Engineering & Technology)

摘　　要：讨论了小变形Lagrange型弹塑性本构模型。由背应力定义塑性应变,从而由Ilyushin假设得到背应力的演化律。分析表明,该模型的强化特性由参量β决定。对一种特殊的各向同性弹塑性模型的讨论表明,这种La-grange型弹塑性本构模型能表征极其复杂的弹塑性特性。In the present paper the lagrangain constitutive relation of plasticity at infinitesimal strain is discussed. This model is based on Ilyushin＇ s postulate, the plastic strain is defined by the back stress and the evolution law for back stress is derived by Il＇ yushin＇ s postulate. The analysis has shown that the hardening behaviors of the model is characterized by the parameter variable β. The discussions on an isotropic elastic-plastic model have shown that this Lagrangian model can describe very complicated behaviors of elastic-plastic materials.

关 键 词：弹塑性本构 小变形 本构关系 

分 类 号：O33[理学—一般力学与力学基础] O34[理学—力学]