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Variational Formulation of the Crack Problem for an Elastoplastic Body at Finite Strain
Author(s) -
Stumpf H.,
Le K. C.
Publication year - 1992
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19920720902
Subject(s) - finite element method , strain (injury) , structural engineering , finite strain theory , mathematics , mathematical analysis , materials science , engineering , medicine , anatomy
Within the framework for finite strain elastoplasticity a new formulation of the boundary value problem for an elastoplastic cracked body by a variational inequality is proposed. A well‐posed system of governing equations and boundary conditions derived from this variational inequality enables us to determine the location as well as the preferred direction of propagation of the crack. It is shown that the variational inequality of evolution along with the non‐holonomical constraints can be used to formulate the dynamic problem for a thermoplastic cracked body.