Colóquio: Computational modelling of problems of solid deformation, with applications of goal oriented techniques to thermoforming processes
Publication date: 20-03-2017 14:45
Resumo: The reliability of computational models of physical processes has received much attention and involves issues such as validation of the mathematical models being used, the error in any data that the models need and the accuracy of the numerical schemes being used, verification. These issues are considered in the context of elastic and hyperelastic deformation, when finite element approximations are applied. Goal oriented techniques using specific quantities of interest (QoI) and dual problems are described for estimating discretisation and modelling errors in the hyperelastic case.
The computational modelling of the rapid large inflation of hyperelastic circular sheets modelled as axisymmetric membranes is then treated, with the aim of estimating engineering QoI and their errors. Fine (involving inertia terms) and coarse (quasi-static) models of the inflation are considered. The techniques are applied to thermoforming processes where thin polymeric sheets are inflated into moulds to form thin-walled structures. Traditionally the polymeric sheets used in thermoforming have been oil based. More recently biomaterials have been introduced, and discussion will be given to the use of starch based thermoplastics in thermoforming processes.
John Whiteman (Brunel Univ. London, UK)
6 de abril, quinta-feira, 15h00
Sala 2.4, Departamento de Matemática da FCTUC