GENERAL DESCRIPTION OF THE FINITE-ELEMENT METHOD OF ANALYSIS IN ENGINEERING MECHANICS

The finite-element method is a numerical technique of analysis in engineering mechanics, and has been developed simultaneously with the increasing use of high-speed electronic digital computers. For many engineering problems in real life, it is not possible to obtain an analytical solution. An analytical solution is a mathematical expression that gives the values of an unknown desired quantity at any location in a body in relation to the material behavior and prescribed boundary and/or initial conditions. In general, analytical solutions can only be obtained for simplified problems, notably of the linear class. When a problem involves temperature- and/or stress-dependent material properties, nonlinear deformations and complex boundary conditions, one is forced to make use of a computerized solution scheme in order to obtain the proper values of the unknowns at given discrete points in the continuum or body. The primary advantage of employing the finite-element method to determine the stress and strain distributions in a continuum is that the method can be systematically programmed to accommodate such difficulties as nonhomogeneous materials, nonlinear stress-strain behavior, time and thermal effects, and complex boundary conditions. (ERA citation 03:010755)

  • Corporate Authors:

    Union Carbide Corporation

    Office of Waste Isolation
    Oak Ridge, TN  United States 

    Energy Research and Development Administration

    20 Massachusetts Avenue, NW
    Washington, DC  United States  20590
  • Authors:
    • Hovland, H
    • Russell, J E
  • Publication Date: 1977-10-5

Media Info

  • Pagination: 16 p.

Subject/Index Terms

Filing Info

  • Accession Number: 00175419
  • Record Type: Publication
  • Source Agency: National Technical Information Service
  • Contract Numbers: W-7405-ENG-26
  • Files: TRIS
  • Created Date: Jul 29 1978 12:00AM