A three dimensional finite deformation viscoelastic model for a layered polymeric material subject to blast

The aim of this paper is to carry out a three dimensional finite deformation simulation of a layered polymeric structure subject to blast loading. Such a simulation may be of use to evaluate the relative capabilities of different layered composites at the design phase to identify suitable candidates for detailed testing. While this is a follow up to studies carried out by Alagappan et al. (2014, 2015) within the context of one and two-spatial dimensions and time respectively, both the earlier works are related to the capturing of small strain nonlinear response of composite using a implicit two network theory. Here we provide a significant extension to a thermodynamically consistent finite deformation, fully three dimensional approach based on a two-network theory. We show that the implicit two network theory approach is able to accommodate ideas of time temperature superimposition and requires far fewer material parameters than that needed for either Prony series expansions or linear spring dashpot type models. We extend to the previously developed finite volume method (which was originally 2-dimensional, small deformation) to three-dimensional finite deformation problems. We apply the method to study the attenuation of blast by different layered structures in a fully three dimensional setting and demonstrate the effect of different layering sequence on the response of polymers subjected to impact. (C) 2016 Published by Elsevier Ltd.