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Analyses of large quasistatic deformations of inelastic bodies by a new hybrid-stress finite element algorithmA new hybrid-stress finite element algorithm, suitable for analyses of large, quasistatic, inelastic deformations, is presented. The algorithm is base upon a generalization of de Veubeke's complementary energy principle. The principal variables in the formulation are the nominal stress rate and spin, and thg resulting finite element equations are discrete versions of the equations of compatibility and angular momentum balance. The algorithm produces true rates, time derivatives, as opposed to 'increments'. There results a complete separation of the boundary value problem (for stress rate and velocity) and the initial value problem (for total stress and deformation); hence, their numerical treatments are essentially independent. After a fairly comprehensive discussion of the numerical treatment of the boundary value problem, we launch into a detailed examination of the numerical treatment of the initial value problem, covering the topics of efficiency, stability and objectivity. The paper is closed with a set of examples, finite homogeneous deformation problems, which serve to bring out important aspects of the algorithm.
Document ID
19840034087
Document Type
Reprint (Version printed in journal)
Authors
Reed, K. W. (Georgia Inst. of Tech. Atlanta, GA, United States)
Atluri, S. N. (Georgia Institute of Technology Atlanta, GA, United States)
Date Acquired
August 12, 2013
Publication Date
September 1, 1983
Publication Information
Publication: Computer Methods in Applied Mechanics and Engineering
Volume: 39
ISSN: 0045-7825
Subject Category
STRUCTURAL MECHANICS
Funding Number(s)
CONTRACT_GRANT: NAG3-38
Distribution Limits
Public
Copyright
Other