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Polynomial wavelets in hybrid-mixed stress finite element models

✍ Scribed by Luís Manuel Santos Castro

Publisher
Wiley (John Wiley & Sons)
Year
2009
Tongue
English
Weight
424 KB
Volume
26
Category
Article
ISSN
2040-7939

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✦ Synopsis

Abstract

This paper reports the use of polynomial wavelets as approximation functions in hybrid‐mixed stress finite element models applied to the solution of plane elasticity problems. The stress and displacement fields in the domain and the displacements on the static boundary are independently approximated. The kinematic boundary conditions are locally satisfied. All remaining equations are enforced in a weighted residual form so designed as to ensure that the discrete model embodies the relevant properties of continuum systems, namely the static‐kinematic duality and elastic reciprocity. A set of numerical applications is presented to illustrate the use of the hybrid‐mixed model and to assess its efficiency and accuracy. Copyright © 2009 John Wiley & Sons, Ltd.

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