期刊
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
卷 277, 期 -, 页码 104-130出版社
ELSEVIER SCIENCE SA
DOI: 10.1016/j.cma.2014.04.015
关键词
Membrane; Kirchhoff-Love shell; Isogeometric; NURBS; Explicit; Dynamic relaxation
资金
- European Office of Aerospace Research and Development (Air Force Office of Scientific Research) [FA8655-12-1-2103]
- Engineering and Physical Sciences Research Council (EPSRC) [EP/F034296/1]
- Framework Programme 7 Initial Training Network Funding Integrating Numerical Simulation and Geometric Design Technology [289361]
- European Research Council Starting Independent Research Grant (ERC Stg) [279578]
- EPSRC [EP/G042705/1]
- EPSRC [EP/F034296/1, EP/G069352/1, EP/G042705/1] Funding Source: UKRI
- Engineering and Physical Sciences Research Council [EP/G069352/1, EP/G042705/1, EP/F034296/1] Funding Source: researchfish
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 C-k (k >= 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. (C) 2014 Elsevier B.V. All rights reserved.
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