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
席丰 1李芳 1胡亚超 2谭英华 1温新月1
作者信息
- 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
- 折叠
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.
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引用本文复制引用
出版年
2024
国家科技期刊平台
NSTL
万方数据