Published

Hybrid Stress Finite Volume Method for Linear Elasticity Problems

Yongke Wu, Xiaoping Xie, and Long Chen

International Journal of Numerical Analysis and Modeling, 10(3), 634--656, 2013.

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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.