Isogeometric analysis for modelling of failure in advanced composite materials

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Abstract

Isogeometric analysis (IGA) has recently received much attention in the computational mechanics community. The basic idea is to use splines as the basis functions for finite-element calculations. This enables the integration of computer-aided design and numerical analysis and allows for an exact representation of complex, curved geometries. Another feature of isogeometric basis functions, their higher-order continuity, is even more important for the development of shell and continuum shell elements to analyse structural stability and damage in thin-walled composite structures. The higher-order shape functions can be used to implement relatively straightforward but powerful shell elements. In addition, these shape functions contribute to a better representation of stresses in continuum elements. Finally, interfaces and delaminations can be modelled by reducing the order of the isogeometric shape functions by knot-insertion. In this chapter, we will give an overview of the recent developments in IGA for shell and continuum shell formulations.
Original languageEnglish
Title of host publicationNumerical Modelling of Failure in Advanced Composite Materials
EditorsS.R. Hallett, P.P. Camanho
Place of PublicationAmsterdam
PublisherElsevier
Pages309-329
Edition1
ISBN (Electronic)9780081003428, 0081003420
ISBN (Print)9780081003329
DOIs
Publication statusPublished - 2015

Publication series

NameWoodhead Publishing Series in Composites Science and Engineering

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