弹塑性本构关系的Ilyushin应变空间理论研究进展  

ADVANCES OF ILYUSHIN'S STRAIN SPACE THEORY OF ELASTO PLASTIC CONSTITUTIVE EQUATION

作　　者：赵社戌[1,2] 匡震邦[1,2] 

机构地区：[1]西南交通大学应用力学所 [2]西安交通大学工程力学所

出　　处：《力学进展》1997年第2期161-176,共16页Advances in Mechanics

基　　金：国家自然科学基金;博士后科学基金

摘　　要：Ｉｌｙｕｓｈｉｎ提出五维偏应变矢量空间中的一般弹塑性本构理论，将应力表示为变形迹内蕴几何学参数的泛函，适合于描写复杂加载下金属材料的塑性响应特性．本文对其实验和理论两方面的研究进展作一综述，涉及关于塑性响应矢量特性的“局部确定性”假设、标量特性的“延迟原理”假设及Ｉｌｙｕｓｈｉｎ关于矢量空间的“特殊各向同性”假设等的实验研究和验证，微分型和积分型本构模型的建立及所含本构泛函的形式和确定．A general plastic constitutive theory has been proposed by Ilyushin, in which the stress is expressed as a functional of intrinsic geometry parameters of strain trajectory in a five dimensional vector space of the strain deviator. Such a representation is suitable to describe the plastic behavior of metals under complex loadings. This paper surveys the advances of the theory together with experimental investigations and verification of the vectorial and scalar rules of plastic response, such as the hypothesis of local determinability, the delay principle, the special postulate of isotropic, etc., and the establishment of integral and differential constitutive equation. In the end, some suggestions on the further development of the theory are made.

关 键 词：复杂加载 偏应变 矢量空间 弹塑性本构关系 

分 类 号：O344.3[理学—固体力学]