Accession Number : ADA193221

Title :   Adaptive Finite Element Methods for Shells.

Descriptive Note : Final rept. 1 Sep 85-31 Dec 87,

Corporate Author : NORTHWESTERN UNIV EVANSTON IL DEPT OF CIVIL ENGINEERING

Personal Author(s) : Belytschko, Ted ; Liu, Wing K ; Chang, Hsiu-Guo

PDF Url : ADA193221

Report Date : 30 Jan 1988

Pagination or Media Count : 127

Abstract : An adaptive finite element procedure is developed for the transient analysis of nonlinear shells. The scheme is an h-method which employs fission and fusion. Criteria based on incremental work and deviation of the bilinear finite element approximation to the shell from a Kirchhoff-Love surface are used as criteria for adaptivity. The example problems show that the adaptive schemes are capable of achieving substantial improvements in accuracy for a given computational effort. They include both material and geometric nonlinearities and local and global buckling. In order to formulate an r-adaptive method, the conservation laws, the constitutive equations, and the equation of state for path-dependent materials are formulated for an arbitrary Lagrangian-Eulerian description. Both geometrical and material nonlinearities are included in this setting. Keywords: Finite elements, Adaptive meshes, Shells.

Descriptors :   *FINITE ELEMENT ANALYSIS, *SHELLS(STRUCTURAL FORMS), *TRANSIENTS, ACCURACY, ADAPTATION, ADAPTIVE SYSTEMS, BUCKLING, CONSERVATION, EQUATIONS, EQUATIONS OF STATE, FISSION, GEOMETRY, GLOBAL, MESH, NONLINEAR SYSTEMS

Subject Categories : Civil Engineering
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE