Robust Adaptive Finite Element Schemes for Viscoelastic Solid Deformation: An Investigative Study
Final rept. 11 Sep 97-11 Nov 98
BRUNEL UNIV UXBRIDGE (UNITED KINGDOM) INST OF COMPUTATIONAL MATHEMATICS
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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 Johnsons workstation at NASA, Langley. Full details of the work undertaken on the Seed Project are also contained in the report.
- Computer Programming and Software