Вариационная формулировка задачи ползучести при конечных деформациях

Abstract

A variational formulation for creep problem under conditions of large strains is considered. On the base of material Lagrangian formulation, principle of virtual work and Green-Lagrange strain rate tensor and symmetric Piola-Kirhgoff stress rate tensor variational principle in the form of Lagrange have been formulated. The linearized equilibrium equations and static boundary conditions in terms of rates of displasements are the Eulerian's equations for Lagrange functional.