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为了探讨有限元法极限分析的网格自适应以及锥优化算法在Mohr-Coulomb材料极限分析中的应用,以屈服准则残余和变形为依据提出针对Mohr-Coulomb材料极限分析的有限元自适应策略。对局部网格自适应结合非结构三角形网格在数值极限分析中的表现进行了探讨。通过基于有限元的极限分析方法结合网络自适应寻找潜在滑移面,从而极大程度地提高了数值计算精度。数值算例证明了所提出极限分析网格自适应准则的有效性以及在岩土极限分析中的应用前景。
In order to investigate the application of finite element method based on mesh optimization and cone optimization algorithm in the limit analysis of Mohr-Coulomb materials, a finite element adaptive strategy for the limit analysis of Mohr-Coulomb materials was proposed based on the yield criterion residuals and deformations. The performance of local mesh adaptive combination with unstructured triangular meshes in numerical limit analysis is discussed. Finite element-based limit analysis method combined with network adaptive search for potential slip surface, thus greatly improving the numerical accuracy. The numerical examples demonstrate the validity of the proposed analytical limit adaptive mesh criterion and its application prospect in geotechnical limit analysis.