摘要
针对当前数值流形法在材料非线性方面研究得不多且计算耗时效率低的问题,以摩尔-库仑为本构模型,提出一种基于修正的牛顿-拉普森迭代方法求解岩土体材料非线性问题。采用一致切线模量矩阵建立刚度矩阵,并与传统牛顿法进行了比较,得出总体计算耗时降低提高了效率。通过对边坡算例进行稳定性分析,并与有限元理论解进行了比较。仿真结果表明,上述方法对求解数值流形法非线性的问题具有一定的可行性,同时还可以应用于平面应变或其它平面应力问题。
In order to solve the problem of material nonlinearity in the current numerical manifold method, a modified Newton Raphson iteration method is proposed based on the Mohr Coulomb constitutive model. The uniform tangent modulus matrix was used to establish the stiffness matrix, and compared with the traditional Newton method, the overall calculation time was reduced and the efficiency was improved. The stability analysis was carried out for the slope example and compared with the finite element theory solution. The simulation results show that the above method is feasible to solve the nonlinear problem of the numerical manifold method, and can also be applied to plane strain or other plane stress problems.
作者
张亚军
莫思阳
张友良
ZHANG Ya-jun;MO Si-yang;ZHANG You-liang(College of Civil and Architectural Engineering,Hainan University,Haikou Hainan 570228,China)
出处
《计算机仿真》
北大核心
2022年第9期394-397,440,共5页
Computer Simulation
基金
海南省重大科技计划项目(ZDKJ201803)
国家自然科学基金地区科学基金项目(51868017)。
