Accession Number:

ADA080101

Title:

The Constraint Method for Solid Finite Elements.

Descriptive Note:

Annual technical rept. 1 Oct 78-30 Sep 79,

Corporate Author:

WASHINGTON UNIV ST LOUIS MO DEPT OF SYSTEMS SCIENCE AND MATHEMATICS

Personal Author(s):

Report Date:

1979-01-01

Pagination or Media Count:

88.0

Abstract:

The p-version of the finite element method is a new approach to finite element analysis which has been demonstrated to lead to significant computational savings, often by orders of magnitude This approach was formerly called the constraint method the new term p-version is more descriptive. Conventional aproaches called the h-version generally employ low order polynomicals as basis functions. Accuracy is achieved by suitably refining the approximating mesh. The p-version uses polynomials of arbitrary order p greater than or equal to 2 for problems in plan elasticity where CO continuity is required and polynomials of order p greater than or equal to 5 for problems in plate bending where Cl continuity is required. Hierarchic elements which implement the p-version efficiently are used together with precomputed arrays of elemental stiffness matrices. CO solid elements of various shapes have been formulated. A major result that has recently been obtained on the convergence of the p-version of the finite element method is in polynomial regions, the p-version converges approximately twice as fast as the h-version. Author

Subject Categories:

  • Numerical Mathematics
  • Mechanics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE