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.
|Title of host publication||Numerical Modelling of Failure in Advanced Composite Materials|
|Editors||S.R. Hallett, P.P. Camanho |
|Place of Publication||Amsterdam|
|ISBN (Electronic)||9780081003428, 0081003420|
|ISBN (Print)||9780081003329 |
|Publication status||Published - 2015|
|Name||Woodhead Publishing Series in Composites Science and Engineering|