理想M-C材料强度评估判据与等效塑性应变  

Strength Evaluation Criteria and Equivalent Plastic Strain for Ideal M-C Materials

作　　者：席丰[1] 李芳 胡亚超 谭英华 温新月 XI Feng;LI Fang;HU Yachao;TAN Yinghua;WEN Xinyue(School of Civil Engineering,Shandong Jianzhu University,Key Laboratory of Building Structural Retrofitting and Underground Space Engineering,Ministry of Education,Jinan 250101,P.R.China;College of Civil Engineering and Architecture,Shandong University of Science and Technology,Qingdao,Shandong 266590,P.R.China)

机构地区：[1]山东建筑大学土木工程学院,建筑结构加固改造与地下空间工程教育部重点实验室,济南250101 [2]山东科技大学土木工程与建筑学院,山东青岛266590

出　　处：《应用数学和力学》2024年第12期1567-1576,共10页Applied Mathematics and Mechanics

基　　金：山东省研究生教育优质课程建设项目(SDYKC20158);国家自然科学基金(12172198)。

摘　　要：基于理想Mohr-Coulomb(M-C)屈服准则,该文提出了拉伸、压缩和剪切等效应力的概念及其公式,并给出了三个相应的强度评估条件.根据塑性功等效原则,分别导出了与上述等效应力共轭的拉伸、压缩等效塑性应变和等效塑性剪应变,探论了不同的摩擦因数下等效应变的变化特征.与Mises等效应变不同,所得到的M-C等效应变能够反映静水压力的影响,也可退化为简单应力状态.这些等效应力和等效应变概念都具有明确的物理意义,将能够应用于更准确、有效地评估拉、压性能不同材料的强度,对于用简单拉伸、压缩或剪切试验标定复杂应力状态下本构模型参数也具有直接应用价值.Based on the ideal Mohr Coulomb(M-C)yield criterion,the concepts and formulas of equivalent stresses in tension,compression,and shear,as well as the corresponding three strength evaluation conditions were presented.According to the equivalent principle of plastic work,the equivalent plastic strain and the equivalent plastic shear strain in tension and compression were derived,which are conjugated with the equivalent stress mentioned above.For different friction coefficients,the variation characteristics of these equivalent strains were discussed.Differing from the Mises equivalent strain,the M-C equivalent strain can reflect the influence of the hydrostatic pressure,and can also degenerate into a simple stress state.These concepts of equivalent stress and equivalent strain have clear physical meanings and can be applied to more accurately and effectively evaluate the strengths of materials with different tensile and compressive properties.They also have direct application values for calibrating constitutive model parameters under complex stress states through experiments under simple stress states.

关 键 词：M-C等效应力 M-C等效塑性应变 理想Mohr-Coulomb屈服准则 强度评估判据 

分 类 号：O344.2[理学—固体力学]