An isogeometric continuum shell element for non-linear analysis

Hosseini, S., Remmers, J. J.C., Verhoosel, C. V. and De Borst, R. (2014) An isogeometric continuum shell element for non-linear analysis. Computer Methods in Applied Mechanics and Engineering, 271, pp. 1-22. (doi: 10.1016/j.cma.2013.11.023)

Abstract

An isogeometric continuum shell formulation is proposed in which NURBS basis functions are used to construct the reference surface of the shell. Through-the-thickness behavior is interpolated using a higher-order B-spline which is in contrast to the standard continuum shell (solid-like shell) formulation where a linear Lagrange shape function is typically used in the thickness direction. The present formulation yields a complete isogeometric representation of the continuum shell. The shell element is implemented in a standard finite element code using Bézier extraction which facilitates numerical integration on the reference surface of the shell. Through-the-thickness integration is done using a connectivity array which determines the support of a B-spline basis function over an element. The formulation has been verified using different linear and geometrically non-linear examples. The ability of the formulation in modelling buckling of static delaminations in composite materials is also demonstrated.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: De Borst, Professor Rene
• Authors: Hosseini, S., Remmers, J. J.C., Verhoosel, C. V., and De Borst, R.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: Computer Methods in Applied Mechanics and Engineering
• Publisher: Elsevier B.V.
• ISSN: 0045-7825