COORDINATE SYSTEMS IN CONTINUUM MECHANICS

Abstract

The use of space, body, and variable reference coordinate systems in problems of continuum mechanics is reviewed, and certain results regarding tensor fields are summarized. Specifically, the advantages of body coordinate systems for characterization of constitutive equations, and the description of permanent deformation with the aid of a variable reference system are discussed, with a view towards the study of thermal stresses and deformations in the high temperature range. Various forms of the equations of motion are discussed, and reference is made to certain conflicting statements in recent literature. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
AD0270541

Entities

People

  • Walter Jaunzemis

Organizations

  • Pennsylvania State University

Tags

DTIC Thesaurus Topics

  • Constitutive Equations
  • Continuum Mechanics
  • Coordinate Systems
  • Determinants (Mathematics)
  • Equations
  • Equations Of Motion
  • High Temperature
  • Literature
  • Mathematics
  • Mechanical Properties
  • Mechanics
  • Stresses
  • Thermal Stresses

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Systems Analysis and Design

Technology Areas

  • Space