塑性本构理论与工程材料塑性本构关系  

Plastic Constitutive Relation and Plastic Constitutive Theory for Engineering Materials

作　　者：郑颖人[1,2] 孔亮[3] 刘元雪[1,2] 

机构地区：[1]后勤工程学院军事建筑工程系,重庆401311 [2]重庆市地质灾害防治工程技术研究中心,重庆400041 [3]青岛理工大学理学院,山东青岛266033

出　　处：《应用数学和力学》2014年第7期713-722,共10页Applied Mathematics and Mechanics

基　　金：国家重大基础研究发展规划(973)项目(2010CB732100;2011CB710606);山东省自然科学杰出青年基金(JQ201017)~~

摘　　要：研究了材料的塑性本构理论,从理论上建立了严密的塑性本构方程,为建立工程材料塑性本构关系提供了理论基础,此后将理论应用于3种工程材料.依据材料的性质以及工程的要求,通过简化得出满足工程计算精度要求的岩土类摩擦材料、金属类晶体材料的塑性本构关系;对强度控制的工程问题如有充分塑性变形条件则可将材料视作理想塑性材料,应用屈服条件和极限分析条件,采用传统的或数值的极限分析方法,求得工程安全系数或极限承载力.Based on deep analysis of the plastic constitutive theory for engineering materials, a more rigorous and general plastic constitutive equation was proposed, which could work as the theoretical basis for constitutive modeling of engineering materials. Then the constitutive rela- tion was applied to 3 kinds of engineering materials, i.e. geotechnical friction materials, metal crystal materials and strength control problems. According to the material properties and re- quirements of engineering calculation, the constitutive relation could be simplified for the geotechnical friction materials and metal materials respectively. For the strength control engi- neering problems, the related material could be deemed as perfectly plastic on condition of suf- ficient plastic deformation, and the yield condition with the limit analysis condition was used to determine the safety factor or ultimate bearing capacity through traditional or numerical limit a- nalysis.

关 键 词：塑性本构理论 工程材料 本构方程 应力主轴旋转 摩擦材料 理想塑性 

分 类 号：O344[理学—固体力学] O344.2[理学—力学]