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Title:A Large Strain Plasticity Model for Implicit Finite Element Analyses
Author(s):Dodds, Robert H., Jr.; Healy, B.E.
Subject(s):Finite element analysis
Abstract:The theoretical basis and numerical implementation of a plasticity model suitable for finite strains and rotations are described. The constitutive equations governing J2 flow theory are formulated using strainsstresses and their rates defined on the unrotated frame of reference. Unhke models based on the classical Jaumann (or corotational) stress rate, the present model predicts physically acceptable responses for homogeneous deformations of exceedingly large magnitude. The associated numerical algorithms accommodate the large strain increments that arise in finite-element formulations employing an implicit solution of the global equilibrium equations. The resulting computational framework divorces the finite rotation effects on strain-stress rates from integration of the rates to update the material response over a load (time) step. Consequently, all of the numerical refinements developed previously for small-strain plasticity (radial return with subincrementation, plane stress modifications, kinematic hardening, consistent tangent operators) are utilized without modification. Details of the numerical algorithms are provided including the necessary transformation matrices and additional techniques required for finite deformations in plane stress. Several numerical examples are presented to illustrate the realistic responses predicted by the model and the robustness of the numerical procedures.
Issue Date:1991-01
Publisher:University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.
Series/Report:Civil Engineering Studies SRS-558
Genre:Technical Report
Sponsor:David Taylor Research Center, Metals and Welding Division
Research Contract: N61533-88-C-0035
Date Available in IDEALS:2009-11-05

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