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

Report Date:

1988-01-30

Pagination or Media Count:

127.0

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