
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 welldefined 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