Isogeometric analysis for multi-patch structured Kirchhoff-Love shells

Abstract

We present an isogeometric method for Kirchhoff-Love shell analysis of shell structures with geometries composed of multiple patches and which possibly possess extraordinary vertices, i.e. vertices with a valency different to four. The proposed isogeometric shell discretisation is based on the one hand on the approximation of the mid-surface by a particular class of multi-patch surfaces, called analysis-suitable~$G^1$ [1], and on the other hand on the use of the globally $C^1$-smooth isogeometric multi-patch spline space [2]. We use our developed technique within an isogeometric Kirchhoff-Love shell formulation [3] to study linear and non-linear shell problems on multi-patch structures. Thereby, the numerical results show the great potential of our method for efficient shell analysis of geometrically complex multi-patch structures which cannot be modeled without the use of extraordinary vertices.

References in corpus (2)

• Almost-$C^1$ splines: Biquadratic splines on unstructured quadrilateral meshes and their application to fourth order problems
• An approximate $C^1$ multi-patch space for isogeometric analysis with a comparison to Nitsche's method

Cited by in corpus (5)

• A comparison of smooth basis constructions for isogeometric analysis
• An Interior Penalty coupling strategy for Isogeometric non-conformal Kirchhoff-Love shell patches
• Scaled boundary isogeometric analysis with C1 coupling for Kirchhoff plate theory
• Fast parametric analysis of trimmed multi-patch isogeometric Kirchhoff-Love shells using a local reduced basis method
• Goal-Adaptive Meshing of Isogeometric Kirchhoff-Love Shells