Consistency and correctness evaluation of shear deformable anisoparametric formulations

The first two of the quartet, completeness, continuity, consistency and correctness conditions, required for the development of robust displacement based finite elements are well understood as far as the anisoparametric elements are concerned. When such elements are formulated (primarily for accurac...

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Bibliographic Details
Published inInternational journal of solids and structures Vol. 37; no. 5; pp. 701 - 713
Main Authors Marur, S.R., Prathap, G.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.02.2000
Elsevier Science
Subjects
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Structural mechanics (beam, string...)
Theory and numerical methods
Shear
Continuity equation
Completeness
Timoshenko beam
Consistency
Anisoparametric element
Shear force
Deformable body
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Summary:The first two of the quartet, completeness, continuity, consistency and correctness conditions, required for the development of robust displacement based finite elements are well understood as far as the anisoparametric elements are concerned. When such elements are formulated (primarily for accuracy due to their improved consistent load and mass capabilities) by incorporating transverse shear deformation effect, it becomes necessary to study the next two of the quartet—(field) consistency and (variational) correctness aspects and to explore further their susceptibility for spurious effects such as locking, stress oscillations etc. Such a study on a typical anisoparametric element formulation is presented in this paper.
ISSN:0020-7683
1879-2146
DOI:10.1016/S0020-7683(99)00037-2