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Stress return mapping algorithm of Mohr-Coulomb criterion in principal stress space and its application in the problems of geotechnical foundation[J].计算力学学报,2020,37(1):83~91
Mohr-Coulomb准则主应力回映算法及在地基问题的应用
Stress return mapping algorithm of Mohr-Coulomb criterion in principal stress space and its application in the problems of geotechnical foundation
Stress return mapping algorithm of Mohr-Coulomb criterion in principal stress space and its application in the problems of geotechnical foundation

DOI：10.7511/jslx20181112001

 作者 单位 E-mail 许梦飞 大连海事大学 道路与桥梁工程研究所, 大连 116026 姜谙男 大连海事大学 道路与桥梁工程研究所, 大连 116026 jiangannan@163.com

针对Mohr-Coulomb准则在应力空间中存在奇异点的问题，提出了主应力空间应力回映算法。分析了多屈服面下塑性流动法则，给出了应力更新过程中应力回映区域的判定方法，推导了不同映射区域下塑性因子的Newton-Raphson迭代求解式和应力更新方程，建立了对应的一致切线模量表达式。利用C++语言，编制了弹塑性有限元求解程序，并对岩土地基问题进行求解，计算结果的比对证明了所编程序的可行性和精确性。

The stress mapping algorithm in principal stress space of Mohr-Coulomb criterion is introduced to deal with its divergence problem at singular points.The multisurface plastic flow rule is analysed.The judgment method for mapping area is put forward during stress updating process.The Newton-Raphson iterative equation for the plastic factor and the stress updating equation are derived.The expression of the consistent tangent operator is established.The elastoplastic FEM program is coded using C++ language which is used to solve the problems of geotechnical foundation.The results demonstrate the feasibility and precision of the program.