TY - JOUR T1 - Computational Modelling of Some Problems of Elasticity and Viscoelasticity with Applications to Ther AU - SIMON SHAW, MIKE .K. WARBY, AND JOHN R. WHITEMAN JO - International Journal of Numerical Analysis Modeling Series B VL - 3 SP - 320 EP - 329 PY - 2012 DA - 2012/03 SN - 3 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/ijnamb/287.html KW - elasticity KW - viscoelasticity KW - hyperelasticity KW - finite element modelling KW - goal oriented methods KW - thermoforming AB - The reliability of computational models of physical processes has received much attention and involves issues such as the validity of the mathematical models being used, the error in any data that the models need, and the accuracy of the numerical schemes being used. These issues are considered in the context of elastic, viscoelastic and hyperelastic deformation, when finite element approximations are applied. Goal oriented techniques using specific quantities of interest (QoI) 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 sheets are inflated into moulds to form thin-walled structures.

SIMON SHAW, MIKE .K. WARBY, AND JOHN R. WHITEMAN. (2012). Computational Modelling of Some Problems of Elasticity and Viscoelasticity with Applications to Ther. International Journal of Numerical Analysis Modeling Series B. 3 (3). 320-329. doi: