摘要
将有关文献给出的一般加载规律一维全量理论的简单模型推广到一般加载规律的一维增量理论 ,进而推广到一般加载规律的多维增量理论 .在此基础上 ,建立了推导一般加载规律的多维增量理论的本构关系的一种途径 .应用这种途径 ,从应力空间的加载函数和应变空间的加载函数出发 ,推导了等向强化材料和被加热的等向强化材料的一般加载规律的弹塑性本构关系的两种表示形式 .理论和实例均表明 ,这种途径对等向强化材料。
The elasto plastic model of general loading law is generalized from one dimensional stress and strain space into multi dimensional stress and strain space. Based on these results, a method of derivation of elasto plastic constitutive relations is established under general loading law. By using this method, two kinds of expressions of the elasto plastic constitutive relation and the heat elasto plastic constitutive relation are derived from stress loading functions and strain loading functions. Theory analyses and practice show that this method applies to perfect plasticity material, isotropic hardening material and kinematic hardening material.
出处
《固体力学学报》
CAS
CSCD
北大核心
2001年第4期409-414,共6页
Chinese Journal of Solid Mechanics
