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Finite-element formulations for problems of large elastic-plastic deformationAn Eulerian finite element formulation is presented for problems of large elastic-plastic flow. The method is based on Hill's variational principle for incremental deformations, and is ideally suited to isotropically hardening Prandtl-Reuss materials. Further, the formulation is given in a manner which allows any conventional finite element program, for 'small strain' elastic-plastic analysis, to be simply and rigorously adapted to problems involving arbitrary amounts of deformation and arbitrary levels of stress in comparison to plastic deformation moduli. The method is applied to a necking bifurcation analysis of a bar in plane-strain tension. The paper closes with a unified general formulation of finite element equations, both Lagrangian and Eulerian, for large deformations, with arbitrary choice of the conjugate stress and strain measures. Further, a discussion is given of other proposed formulations for elastic-plastic finite element analysis at large strain, and the inadequacies of some of these are commented upon.
Document ID
19750042201
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Mcmeeking, R. M.
Rice, J. R.
(Brown University Providence, R.I., United States)
Date Acquired
August 8, 2013
Publication Date
May 1, 1975
Publication Information
Publication: International Journal of Solids and Structures
Volume: 11
Subject Category
Structural Mechanics
Accession Number
75A26273
Funding Number(s)
CONTRACT_GRANT: NGL-40-002-080
Distribution Limits
Public
Copyright
Other

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