A Large Strain Plasticity Model for Implicit Finite Element Analyses

Dodds, Robert H., Jr.; Healy, B.E.

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https://hdl.handle.net/2142/14176 Copy

Description

Title

A Large Strain Plasticity Model for Implicit Finite Element Analyses

Author(s)

• Dodds, Robert H., Jr.
• Healy, B.E.

Issue Date

1991-01

Keyword(s)

• Finite element analysis
• Plasticity

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.

Publisher

University of Illinois Engineering Experiment Station. College of Engineering. University of Illinois at Urbana-Champaign.

Series/Report Name or Number

Civil Engineering Studies SRS-558

Type of Resource

text

Language

en

Permalink

http://hdl.handle.net/2142/14176

Sponsor(s)/Grant Number(s)

• David Taylor Research Center, Metals and Welding Division
• Research Contract: N61533-88-C-0035

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