摘要
本文提出韧性金属弹塑性大变形拟流动角点理论（ｑｕａｓｉ－ｆｌｏｗｃｏｒｎｅｒｔｈｅｏｒｙ）．该理论从塑性变形正交法则出发，将”模量衰减函数”及屈服面的尖点效应引入本构模型，从而实现了由正交法则本构模型向非正交法则本构模型以及从塑性加载向物理弹性却载的光滑过渡，使一般无角点各向异性硬化屈服函数与有角点硬化情形相结合成为可能．用于数值模拟各向异性金属薄板单向拉伸失稳与剪切带分析并与实验结果作比较，表明本文理论的有效性．
A quasi-flow corner theory on large plastic deformation of ductile metals isproposed in this paper.From orthogonal rule of plastic flow, the theory introduces a 'modulus redl[73d fun=t ion' and a corner effect of yield surf a'ce into theconstitutive model of elastic-plasti doarge deformation. Thereby, the smooth andcontinuous transi nons from orthogonal constitut iye model to non-orthogonal one,and from plastic ic3ding to o13stic unloa'ding are realized. In addition, thetheory makes it possiblo to conneet ggneral ansiot ropic yield functions with cornerhardening effect. The compsrison between numerics.1 s imulation and experimentalobservation for the uniaxial tensile instability and shear band deformation ofanisotropic sheet m3tals shows if he v3lidity of the present quasi-flow cornertheoy.
出处
《应用数学和力学》
EI
CSCD
北大核心
1996年第11期1005-1011,共7页
Applied Mathematics and Mechanics
基金
国家青年自然科学基金
关键词
拟流动角点理论
各向异样
变形
金属
塑性变形
quasi-flow corner theory, modulus reduced function shear band t am so'trope
