A Uniqueness Theorem in the Theory of Cosserat Surface,

Abstract

Within the scope of the non-isothermal theory of an elastic Cosserat surface and for a system of linear equations characterizing the initial mixed boundary-value problems of thermoelastic shells, a uniqueness theorem is obtained without the use of definiteness assumption for the free energy. The theorem holds for nonhomogeneous and anisotropic shells undergoing small motions (and small temperature change) superposed on a large deformation. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1971
Accession Number
AD0735927

Entities

People

  • J. A. Trapp
  • Paul M. Naghdi

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Boundary Value Problems
  • Climate Change
  • Differential Equations
  • Energy
  • Equations
  • Free Energy
  • Mathematics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Mathematical Modeling and Probability Theory.
  • Structural Dynamics.