Accession Number:

AD0743320

Title:

Variational Principles in Nonlinear Continuum Mechanics.

Descriptive Note:

Research rept.,

Corporate Author:

ALABAMA UNIV HUNTSVILLE RESEARCH INST

Personal Author(s):

Report Date:

1972-04-01

Pagination or Media Count:

26.0

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 Klambda is generated which assumes a stationary value when the entire collection of field equations governing the behavior of the continuum are satisfied. Author

Subject Categories:

  • Theoretical Mathematics
  • Mechanics
  • Thermodynamics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE