非连续变形计算力学模型弹塑性数值分析方法及其应用

在笔者所建立的非连续变形计算力学模型弹性分析方法基础上 ,进一步考虑材料的弹塑性 ,基于分区参变量最小势能变分原理 ,建立了非连续变形计算力学模型弹塑性分析的数学列式和求解方法 ,分析了不同材料特性的基础梁和岩基相互作用问题。计算结果表明 :这种非连续变形计算力学模型弹塑性分析方法将材料的非线性与多体相互作用系统的接触非线性或界面非连续性相耦合 ,能够模拟多体间的非线性相互作用特性 ,是一种处理岩土工程中多体非连续变形体系的新颖而有力的数值计算方法

Elasto-plastic numerical analysis based on discontinuous deformation computational mechanics model with application in geotechnics

The elastic model of discontinuous deformation computational mechanics developed by the authors is extended to elasto plastic model.The elasto plastic behavior of the multi body system is duly taken into consideration in addition to the discontinuous characteristics of interfaces and contacts between different bodies.Based on the parametric variational principle of minimum potential energy for different materials,the mathematical formulation of the nonlinear discontinuous deformation system is established and the corresponding solving algorithm is developed for elasto plastic analysis.The problem of interaction of foundation beam and rock base with different material characteristics is analyzed to illustrate the applications of the proposed method.The results have shown that the proposed method couples the nonlinear behavior of materials with discontinuous features of interaction of multi body system and can simulate the complex behavior of interaction effect of multiple bodies with different characteristics.This method might be a powerful numerical computational tool for geotechnical engineering problems.