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Elastoplastic dynamic analysis with hybrid stress elements
Author(s) -
Teixeira de Freitas J. A.,
Wang Z. M.
Publication year - 2001
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.282
Subject(s) - finite element method , displacement (psychology) , boundary (topology) , stress field , domain (mathematical analysis) , stress (linguistics) , acceleration , displacement field , boundary value problem , boundary element method , mathematics , field (mathematics) , mathematical analysis , structural engineering , engineering , physics , classical mechanics , psychology , linguistics , philosophy , pure mathematics , psychotherapist
The stress model of the hybrid finite element formulation is applied to the solution of dynamic elastoplastic structural problems. The stress field is approximated in the domain of the elements and the displacements on its boundary. The displacement, velocity and acceleration approximations in the domain of the element are implicit, in the sense that they result from a combination of the stress estimate with the time integration procedure that ensures that the equilibrium condition is locally satisfied. The finite elements are subdivided in plastic cells where a gradient dependent model is implemented using a hybrid formulation based on the approximation of the plastic parameter and the plastic radiation fields in the domain and on the boundary of the plastic cells, respectively. Generalized variables associated with orthogonal and naturally hierarchical bases are used. The resulting solving systems are symmetric, sparse, p ‐adaptive and well suited to parallel processing. The performance of the element is assessed using a representative set of testing problems. Copyright © 2001 John Wiley & Sons, Ltd.