Robust Adaptive Finite Element Schemes for Viscoelastic Solid Deformation: An Investigative Study
Abstract
The major goal was to develop a framework for the adaptive finite element solution of quasistatic viscoelasticity problems in the context of the practical utility of the internal variable formulation, as used by Dr. A. R. Johnson of the Vehicle Technology Center, NASA, Langley, and the theoretical utility of the hereditary integral formulation, as used at BICOM. The first of these allows for practical software to be developed in a straightforward way from existing linear elasticity codes, while the second facilitates the derivation of mathematically rigorous a posteriori error estimates - the essential building block for adaptive finite element solvers. During the project we proposed and developed a hybrid algorithm blending the best features of these two approaches. Also, we implemented our a posteriori error estimates to produce software capable of automatic spatial error control based on adaptive meshing. A prototype version of this software is now mounted on Dr Johnson's workstation at NASA, Langley. Full details of the work undertaken on the Seed Project are also contained in the report.
Document Details
- Document Type
- Technical Report
- Publication Date
- Dec 08, 1998
- Accession Number
- ADA359215
Entities
People
- J. R. Whiteman
- Simon Shaw
Organizations
- Brunel University London