Mechanics of Continuous Media

Abstract

The differential equations and boundary conditions governing various Newtonian continua are formulated. The general properties of such continua are discussed. The special models to be considered are: perfectly elastic bodies; thermoelastic bodies; viscous, compressible, and heat-conducting fluids; rarefied gases; and, particularly, plastic bodies. This first paper states the principles governing the motion of all Newtonian continua, and gives formulations of the theories of perfectly elastic bodies and of viscous, compressible, heat-conducting fluids. The analysis is valid for nonhomogeneous, anisotropic media.

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Document Details

Document Type
Technical Report
Publication Date
Jul 18, 1947
Accession Number
AD0495923

Entities

People

  • C. A. Truesdell
  • R. N. Schwartz

Organizations

  • Naval Ordnance Laboratory

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Computational Science
  • Continuum Mechanics
  • Differential Equations
  • Elastic Properties
  • Energy
  • Equations
  • Flow
  • Fluid Mechanics
  • Heat Energy
  • Mechanical Energy
  • Mechanics
  • Navier Stokes Equations
  • Ordnance Laboratories
  • Scalar Functions
  • Stress Strain Relations
  • Thermodynamics

Fields of Study

  • Mathematics

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Fluid Mechanics and Fluid Dynamics.
  • Structural Dynamics.