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Polynomial wavelets in hybrid‐mixed stress finite element models
Author(s) -
Castro Luís Manuel Santos
Publication year - 2010
Publication title -
international journal for numerical methods in biomedical engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.741
H-Index - 63
eISSN - 2040-7947
pISSN - 2040-7939
DOI - 10.1002/cnm.1215
Subject(s) - finite element method , mathematics , kinematics , elasticity (physics) , wavelet , reciprocity (cultural anthropology) , polynomial , plane stress , boundary value problem , displacement field , mathematical analysis , linear elasticity , displacement (psychology) , method of mean weighted residuals , galerkin method , structural engineering , computer science , engineering , classical mechanics , physics , psychology , social psychology , artificial intelligence , psychotherapist , thermodynamics
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.