THE ARBITRARY LAGRANGIAN-EULERIAN FINITE ELEMENTS FOR PATH-DEPENDENT MATERIALS.

摘要

The conservation laws, the constitutive equations and the equation of state for path-dependent materials are formulated for an arbitrary Lagrangian-Eulerian finite element method. Both the geometrical and material nonlinearities are included in this setting. In addition, the tangent stiffness matrix for the equilibrium equation is derived from the principle of virtual work. Various numerical methods for the finite element equations are presented and several numerical examples are analyzed to examine some features of the proposed method.