基于Mises准则导出Tresca准则  

Deduction of Tresca criterion based on Mises criterion

作　　者：谢肖礼[1] 梁汉吉[1] 张鹏[2] 

机构地区：[1]广西大学土木建筑工程学院,广西南宁530004 [2]广西工学院土木工程系,广西柳州545006

出　　处：《广西工学院学报》2005年第1期6-8,共3页Journal of Guangxi University of Technology

基　　金：广西自然科学基金(桂科自0339017);桂科配(0135008);中国博士后基金。

摘　　要：基于Mises准则并采用正交流动法则和塑性位势理论求得塑性应变增量。在计算塑性功增量时不考虑s2作用,用能量原理导出Tresca准则,另外还用代数方法导出了s16),从而加r=2r与Lode角之间的关系:s16cos(θδ+π深了对Tresca准则的认识。其研究成果对解释现有屈服准则或提出新的屈服准则有重要的理论意义。On the basis of Mises yield criterion this paper calculates the plastic strain increments by using the rule of orthogonal flow and the plastic potential theory. The Tresca yield criterion is deduced from theory of power ignoring the effect of s_2 in the process to calculate plastic work done increment. In addition, a relation i.e.s_1r=26cos(θ_δ+π6)is deduced; thus the study about Tresca criterion is advanced. The research results of this paper offer a new approach and theoretical basis for both establishing other new yield criteria and explaining those established yet.

关 键 词：Tresca准则 Mises准则 塑性位势理论 屈服准则 应变增量 流动法则 能量原理 代数方法 理论意义 研究成果 塑性功 COS 

分 类 号：TU452[建筑科学—岩土工程] TG301[建筑科学—土工工程]