Accession Number : ADA161642
Title : A Finite Element Analysis of a Class of Problems in Elasto-Plasticity with Hidden Variables.
Descriptive Note : Final rept. 1 Feb 83-1 Oct 85,
Corporate Author : TEXAS INST FOR COMPUTATIONAL MECHANICS AUSTIN
Personal Author(s) : Oden,J T
Report Date : Sep 1985
Pagination or Media Count : 161
Abstract : A general theory of finite elastoplasticity deformations is developed which makes use of the generalized Clarke-Rockafellar subdifferentials from non-convex optimization theory and the notion of internal state variables. The theory involves two fundamental potential functionals, the free energy and a general flow potential. An exact kinematical description of large elastic-plastic deformations is given, together with a complete thermodynamics. New finite element methods are derived and several example problems are solved to illustrate the generality and utility of the theory and the numerical schemes. Keywords: Elastoplasticity; finite deformations; non-convex analysis; finite element methods; metal forming.
Descriptors : *PLASTIC DEFORMATION , *FINITE ELEMENT ANALYSIS , KINEMATICS , THERMODYNAMICS , THEORY , NUMERICAL ANALYSIS , ELASTIC PROPERTIES , VARIABLES , INTERNAL , PLASTIC PROPERTIES , FLOW , FREE ENERGY , METALWORKING
Subject Categories : Numerical Mathematics
Distribution Statement : APPROVED FOR PUBLIC RELEASE