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


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a161642.pdf


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