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Nonlinear finite element analysis based on a large strain deformation theory of plasticity

✍ Scribed by M. Brünig

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
368 KB
Volume
69
Category
Article
ISSN
0045-7949

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✦ Synopsis

The present paper is concerned with an ecient framework for a nonlinear ®nite element procedure for the numerical analysis of ®nite deformation elastic±plastic problems, based on a deformation theory of plasticity. Stress measures are related to Green's strains via a hyperelastic constitutive law based on a free energy potential function, whereas the plastic behavior is described using a von Mises yield condition and Nadai's deformation rule. The plastic strains and the current material properties are determined directly by a local Newton iteration procedure, and, furthermore, the development of a consistent elastic±plastic tangent operator will also be discussed. Finally, the solution of ®nite strain elastic±plastic boundary value problems is presented to demonstrate the eciency of the algorithm.

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