On Some Variational Principles in Anisotropic and Nonhomogeneous Elasticity. II. A Variational Approach to the Theory of the Elastic Behavior of Polycrystals.

Abstract

IN PREVIOUS PAPERS (AD-265 817) the authors established some new variational principles in the linear theory of elasticity for isotropic nonhomogeneous bodies with prescribed surface displacements. These have been applied to the theory of the elastic behavior of multiphase materials. Work is concerned with the generalization of these principles to anisotropic and nonhomogeneous elasticity and the establishment of similar variational principles for a body with prescribed surface tractions. The second part deals with the application of these variational principles to the theory of the elastic behavior of polycrystals. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1962
Accession Number
AD0284929

Entities

Organizations

  • University of Pennsylvania

Tags

DTIC Thesaurus Topics

  • Displacement
  • Elastic Properties
  • Materials
  • Polycrystals
  • Traction
  • Variational Principles

Fields of Study

  • Mathematics

Readers

  • Fluid Dynamics.
  • Materials Science and Engineering.
  • Theoretical Analysis.