Hybrid Stress Finite Volume Method for Linear Elasticity Problems

Abstract

A hybrid stress finite volume method is proposed for linear elasticity equations. In this new method, a finite volume formulation is used for the equilibrium equation, and a hybrid stress quadrilateral finite element discretization, with continuous piecewise isoparametric bilinear displacement interpolation and two types of stress approximation modes, is used for the constitutive equation. The method is shown to be free from Poisson-locking and of first order convergence. Numerical experiments confirm the theoretical results.