Accession Number : AD0725704

Title :   Analysis of Nonlinear, Dynamic Coupled Thermoviscoelasticity Problems by the Finite Element Method.

Descriptive Note : Research rept.,

Corporate Author : ALABAMA UNIV HUNTSVILLE RESEARCH INST

Personal Author(s) : Oden,J. T. ; Armstrong,W. H.

Report Date : JUN 1971

Pagination or Media Count : 40

Abstract : The investigation deals with the numerical solution of a class of nonlinear problems in transient, coupled, thermoviscoelasticity. Equations of motion and heat conduction are derived for finite elements of thermomechanically simple materials and these are adapted to special classes of thermorheologically simple materials. The analysis involves the solution of large systems of nonlinear integrodifferential equations in the nodal displacements and temperatures and their histories. As a representative example, the general equations are applied to the problem of transient response of a thick-walled hollow cylinder subjected to time-varying internal and external pressures, temperatures, and heat fluxes. The integration scheme used to solve the nonlinear equations employs a linear acceleration assumption, representation of nonlinear integral terms by Simpson's rule, and the iterative solution of large systems of nonlinear algebraic equations at each reduced time step by the Newton-Raphson method. Various numerical results are given and are compared with the linearized, isothermal, and quasi-static solutions. (Author)

Descriptors :   (*VISCOELASTICITY, NUMERICAL ANALYSIS), THERMAL CONDUCTIVITY, RHEOLOGY, CYLINDRICAL BODIES, THERMAL PROPERTIES, EQUATIONS OF MOTION, HEAT FLUX

Subject Categories : Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE