Accession Number : ADA264592


Title :   A Conservative Formulation for Plasticity


Corporate Author : STATE UNIV OF NEW YORK AT STONY BROOK


Personal Author(s) : Plohr, Bradley J ; Sharp, David H


Full Text : https://apps.dtic.mil/dtic/tr/fulltext/u2/a264592.pdf


Report Date : Jan 1992


Pagination or Media Count : 33


Abstract : In this paper we propose a fully conservative form for the continuum equations governing rate-dependent and rate-independent plastic flow in metals. The conservation laws are valid for discontinuous as well as smooth solutions. In the rate-dependent case, the evolution equations are in divergence form, with the plastic strain being passively convected and augmented by source terms. In the rate-independent case, the conservation laws involve a Lagrange multiplier that is determined by a set of constraints; we show that Riemann problems for this system admit scale-invariant solutions.


Descriptors :   *METALS , REPRINTS , SOLUTIONS(MIXTURES) , RATES , CONVECTION , SOLIDS , SCALE , MATHEMATICS , EULER EQUATIONS , CONSERVATION , PLASTIC FLOW , LAGRANGIAN FUNCTIONS


Subject Categories : Plastics
      Numerical Mathematics
      Mechanics


Distribution Statement : APPROVED FOR PUBLIC RELEASE