关键词: 数值流形方法, 三维问题, 六面体, 非线性分析

Abstract:

Analyzing three dimension is the developmental trend of numerical manifold method. Three-dimensional manifold element with hexahedral finite element covers is constructed by cover displacement function of numerical manifold method, strain matrix, stiffness matrix and equilibrium equations are derived. Simultaneity, linear elastic model is mostly adopted on numerical manifold method for problem analysising persently, but nonlinear model is researched very little, calculating formulations of numerical manifold method for nonlinear analysis based on the characters of numerical manifold method and constitutive models of rock and soil mass is presented. The elastic modulus of model and model is altered to describe the nonlinear relationship by midpoint incremental method; in fact subsection linear ralationship is substituted for nonlinear ralationship. Finally, an example of foundation settlement calculation is given; the calculation result shows the validity of nonlinear analysis of three-dimensional numerical manifold method for rock and soil mass.

Key words: numerical manifold method, three dimension, hexahedron, nonlinear analysis