Accession Number : AD0743320

Title :   Variational Principles in Nonlinear Continuum Mechanics.

Descriptive Note : Research rept.,

Corporate Author : ALABAMA UNIV HUNTSVILLE RESEARCH INST

Personal Author(s) : Oden,J. T.

Report Date : APR 1972

Pagination or Media Count : 26

Abstract : The paper deals with general variational principles for a wide class of nonlinear problems in continuum mechanics and thermodynamics. By a variational principle is meant a theorem concerning stationary values of a well-defined functional, as distinct from Galerkin integrals or 'virtual work' principles associated with a given physical law. The essential features of a general theory of potential operators on Banach spaces and the field equations governing the thermodynamics of continua are first reviewed. Then a functional K(lambda) is generated which assumes a stationary value when the entire collection of field equations governing the behavior of the continuum are satisfied. (Author)

Descriptors :   (*CONTINUUM MECHANICS, CALCULUS OF VARIATIONS), CONDUCTION(HEAT TRANSFER), BANACH SPACE, INTEGRAL EQUATIONS, NONLINEAR SYSTEMS, APPROXIMATION(MATHEMATICS), VISCOELASTICITY, THERMODYNAMICS, THEOREMS

Subject Categories : Theoretical Mathematics
      Mechanics
      Thermodynamics

Distribution Statement : APPROVED FOR PUBLIC RELEASE