ON HELMHOLTZ'S THEOREM AND THE COMPLETENESS OF THE PAPKOVICH-NEUBER STRESS FUNCTIONS FOR INFINITE DOMAINS

Abstract

EUBER STRESS FUNCTIONS FOR INFINITE DOMAINS, BY M. E. Gurtin. Aug 61, 15p. (Technical rept. no. 13) (Contract Nonr-56225, Proj. NR 064-431) Unclassified report DESCRIPTORS: (*Stresses, Materials, Solids, Elasticity, Deformation, Theory.) (Mechanical properties, *Applied mathematics, Vector analysis, Tensor analysis, Operators (Mathematics).) Open-ended Terms: Hel holtz theorem. Displacement equations of equilibrium in linear theory of homogeneous and isotropic elastic solids are discussed. Use is made of Helmholtz's theorem which is of interest in mathematical physics as applied to elastostatics. The Papkovich-Neuber solution of stress functions for infinite domains is applied.

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
AD0264647

Entities

People

  • M.e. Gurtin

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Algebra
  • Applied Mathematics
  • Arrhenius Equation
  • Contracts
  • Displacement
  • Elastic Properties
  • Equations
  • Linear Algebra
  • Materials
  • Mathematical Analysis
  • Mathematics
  • Mechanical Properties
  • Physical Properties
  • Tensor Analysis
  • Vector Analysis

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Snow Cover Descriptors for Reptiles and Their Illustrations.