Development of Multi-Adaptive Simulation Technologies for Nonlinear Solid Polymer Viscoelasticity
Abstract
This project has been concerned with the reliable computation of engineering Quantities of Interest (QoI), and the application of these mathematical methods to problems of interest to the US Army (informed by our long-standing contact with Dr A R Johnson, ARL, VTD, LaRC). In the project we have applied state-of-the-art mathematical theory to a practical large deformation engineering problem in membrane inflation. In doing this we have applied modern methods of a posteriori error estimation in order to address the error in the engineering QoI that arise from modelling simplifications and also from finite element approximation. Our results show that this technique works in that it can be used to adaptively optimize the finite element mesh, as well as to !give an indication of the physical error contained in the modelling assumptions. The eventual benefit of research of this nature and the downstream uptake of the techniques and methodology into commercial engineering software cannot be overstated. By isolating and estimating the two principal sources of error in physical simulations (modelling and discretization) the software will allow the practitioner to assign a degree of confidence in the results that has never before been possible.
Document Details
- Document Type
- Technical Report
- Publication Date
- Oct 31, 2007
- Accession Number
- ADA474092
Entities
People
- J. R. Whiteman
- M. K. Warby
- Simon Shaw
Organizations
- Brunel University London