Accession Number : ADA182484

Title :   Numerical Integration of a System of Equations in Thermoviscoplasticity.

Descriptive Note : Memorandum rept. Jul 85-Jul 86,

Corporate Author : ARMY BALLISTIC RESEARCH LAB ABERDEEN PROVING GROUND MD

Personal Author(s) : Batra,Romesh C ; Wright,Thomas W

PDF Url : ADA182484

Report Date : Mar 1987

Pagination or Media Count : 44

Abstract : A set of nonlinear and coupled equations governing the thermomechanical deformations of a viscoplastic body undergoing simple shearing deformations is integrated in time by using the Forward-Difference-Galerkin-Finite-Element (FDGFE) method and the Crank-Nicolson-Galerkin-Finite-Element (CNGFE) method. In the latter scheme the number of unknown functions is increased so that the governing equations involve only first order spatial derivatives. It is shown that the solutions obtained by the two methods agree qualitatively but the CNGFE method seems to introduce considerable damping into the system. However, the time increment needed to obtain a stable solution by the CNGFE method is 200 times that required by the FDGFE method. Keywords: Shear bands, Finite element method, Crank nicolson method.

Descriptors :   *NUMERICAL INTEGRATION, *DEFORMATION, *VISCOPLASTIC PROPERTIES, COUPLING(INTERACTION), EQUATIONS, SOLUTIONS(GENERAL), STABILITY, THERMOMECHANICS, DAMPING, FINITE ELEMENT ANALYSIS, SHEAR PROPERTIES, EQUATIONS, TIME INTERVALS, MECHANICAL PROPERTIES, COMPUTER APPLICATIONS, CYCLES, SHEAR STRESSES, STRAIN HARDENING, STRAIN RATE, SOFTENING

Subject Categories : Acoustics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE