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Application of h ‐adaptive FEM and Zarka's approach to analysis of shakedown problems
Author(s) -
Cecot Witold
Publication year - 2004
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1154
Subject(s) - shakedown , residual , finite element method , interpolation (computer graphics) , residual stress , structural engineering , method of mean weighted residuals , mathematics , computer science , engineering , algorithm , mechanical engineering , materials science , composite material , frame (networking) , galerkin method
The Zarka shakedown approach and the h ‐adaptive finite element method are applied to evaluate residual stresses resulting from arbitrary cyclic loading. Two error indicators are used to refine the mesh: the explicit residual one which controls accuracy of the momentum balance and the interpolation error indicator which controls approximation of the modified back stresses. Validation tests performed for the Zarka method of simplified shakedown analysis suggest that such an approach may be used to obtain a quick estimate of residual states with the error acceptable for engineering purposes. Thus, it has been applied to compute residual stresses arising from service load in railroad rails. Copyright © 2004 John Wiley & Sons, Ltd.