应用数学和力学2024，Vol.45Issue(12)：1567-1576,10.DOI:10.21656/1000-0887.440345
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
摘要
Abstract
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 e-quivalent plastic shear strain in tension and compression were derived,which are conjugated with the equiva-lent 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 in-fluence of the hydrostatic pressure,and can also degenerate into a simple stress state.These concepts of equiv-alent stress and equivalent strain have clear physical meanings and can be applied to more accurately and effec-tively 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 experi-ments 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Key words
M-C equivalent stress/M-C equivalent plastic strain/ideal M-C yield criterion/strength evaluation criterion分类
力学引用本文复制引用
席丰,李芳,胡亚超,谭英华,温新月..理想M-C材料强度评估判据与等效塑性应变[J].应用数学和力学,2024,45(12):1567-1576,10.基金项目
山东省研究生教育优质课程建设项目(SDYKC20158) （SDYKC20158）
国家自然科学基金(12172198) （12172198）
