Finite element analysis of dynamic response of wrinkling membranes

Abstract

A new iterative scheme for finite element analysis of wrinkling membranes, originally devised for static analysis, is extended for analyzing dynamic response of wrinkling membranes. The scheme is found to be successfully implemented with an explicit total Lagrangian finite element code based upon the central difference method. The finite element implementation of the scheme is straightforward, and only minor modifications are needed for existing membrane finite element codes. In light of application for contact-impact, discussed are a couple of existing contact algorithms which are well suited for treating contact-impact of wrinkling membranes with rigid bodies. The validity of the scheme is demonstrated via a numerical simulation of an inflating automotive airbag, made of orthotropic membranes, under impulse pressure loading. (C) 1999 Elsevier Science B.V. All rights reserved.