APPLICATION OF THE FINITE ELEMENT METHOD TO HEAT CONDUCTION IN SOLIDS

Abstract

A new numerical method for the solution of heat conduction problems in thermally anisotropic, nonhomogeneous bodies of complex geometry was devised which is based on a discretization concept developed in the matrix analysis of structures. This discretization method, commonly referred to as the finite element method, reduces the problem formulation to the solution of a matrix equation for the nodal point temperatures of the assembly of finite elements. The resulting matrix equation is stable for any time step. The method is extremely flexible and easy to apply. The method was applied by writing a computer program for the solution of heat conduction problems in plane, thermally anisotropic, nonhomogeneous bodies.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1967
Accession Number
AD0823105

Entities

People

  • Charles H. Parr
  • Eric B. Becker

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Coefficients
  • Computational Fluid Dynamics
  • Computer Programming
  • Computer Programs
  • Computers
  • Equations
  • Finite Element Analysis
  • Geometry
  • Heat Transfer
  • Materials
  • Numerical Analysis
  • Plastic Explosives
  • Propellants
  • Solid Propellants
  • Specific Heat
  • Stress Analysis
  • Variational Principles

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Thermal Physics or Thermal Science.