Variational Principles in Nonlinear Continuum Mechanics.
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)
Document Details
- Document Type
- Technical Report
- Publication Date
- Apr 01, 1972
- Accession Number
- AD0743320
Entities
People
- J. Tinsley Oden
Organizations
- University of Alabama in Huntsville