Explicit finite deformation analysis of isogeometric membranes

Chen, Lei, Nguyen-Thanh, Nhon, Nguyen-Xuan, Hung, Rabczuk, Timon, Bordas, Stephane ORCID: https://orcid.org/0000-0001-8634-7002 and Limbert, Georges 2014. Explicit finite deformation analysis of isogeometric membranes. Computer Methods in Applied Mechanics and Engineering 277 , pp. 104-130. 10.1016/j.cma.2014.04.015

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Abstract

NURBS-based isogeometric analysis was first extended to thin shell/membrane structures which allows for finite membrane stretching as well as large deflection and bending strain. The assumed non-linear kinematics employs the Kirchhoff–Love shell theory to describe the mechanical behaviour of thin to ultra-thin structures. The displacement fields are interpolated from the displacements of control points only, and no rotational degrees of freedom are used at control points. Due to the high order CkCk (k≥1k≥1) continuity of NURBS shape functions the Kirchhoff–Love theory can be seamlessly implemented. An explicit time integration scheme is used to compute the transient response of membrane structures to time-domain excitations, and a dynamic relaxation method is employed to obtain steady-state solutions. The versatility and good performance of the present formulation are demonstrated with the aid of a number of test cases, including a square membrane strip under static pressure, the inflation of a spherical shell under internal pressure, the inflation of a square airbag and the inflation of a rubber balloon. The mechanical contribution of the bending stiffness is also evaluated.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Advanced Research Computing @ Cardiff (ARCCA) Engineering
Subjects:	T Technology > TA Engineering (General). Civil engineering (General)
Publisher:	Elsevier
ISSN:	0045-7825
Date of Acceptance:	23 April 2014
Last Modified:	31 Oct 2022 08:59
URI:	https://orca.cardiff.ac.uk/id/eprint/79404

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