Explicit finite deformation analysis of isogeometric membranes

被引：60

作者：

Chen, Lei ^{[1
,2
]}

Nhon Nguyen-Thanh ^{[3
]}

Hung Nguyen-Xuan ^{[4
]}

Rabczuk, Timon ^{[3
,5
]}

Bordas, Stephane Pierre Alain ^{[6
]}

Limbert, Georges ^{[1
,7
]}

机构：

[1] Univ Southampton, Fac Engn & Environm, Natl Ctr Adv Tribol Southampton nCATS, Southampton SO17 1BJ, Hants, England

[2] Penn State Univ, Dept Mat Sci & Engn, University Pk, PA 16802 USA

[3] Bauhaus Univ Weimar, Inst Struct Mech, D-99423 Weimar, Germany

[4] Duy Tan Univ, Da Nang, Vietnam

[5] Korea Univ, Sch Civil Environm & Architectural Engn, Seoul 136701, South Korea

[6] Cardif Univ, Cardiff Sch Engn, Inst Modelling & Simulat Mech & Mat, Cardiff CF24 3AA, Wales

[7] Univ Southampton, Fac Engn & Environm, Bioengn Sci Res Grp, Southampton SO17 1BJ, Hants, England

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2014年 / 277卷

基金：

欧洲研究理事会; 英国工程与自然科学研究理事会;

关键词：

Membrane; Kirchhoff-Love shell; Isogeometric; NURBS; Explicit; Dynamic relaxation; FLUID-STRUCTURE INTERACTION; LARGE DEFLECTION ANALYSIS; MESHFREE THIN SHELL; ELEMENT-ANALYSIS; MECHANICS; MODEL; ALGORITHMS; DYNAMICS; NURBS;

D O I：

10.1016/j.cma.2014.04.015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：104 / 130

页数：27

共 64 条

[1]

[Anonymous], 2012, ABAQUS THEOR MAN

[2]

[Anonymous], 1984, NONLINEAR ELASTIC DE

[3] Reverse engineering the euglenoid movement [J].

Arroyo, Marino ;

Heltai, Luca ;

Millan, Daniel ;

DeSimone, Antonio .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2012, 109 (44) :17874-17879

[4]

Bathe KJ, 1982, FINITE ELEMENT PROCE, P20071

[5] NURBS-based isogeometric analysis for the computation of flows about rotating components [J].

Bazilevs, Y. ;

Hughes, T. J. R. .

COMPUTATIONAL MECHANICS, 2008, 43 (01) :143-150

[6] Isogeometric fluid-structure interaction: theory, algorithms, and computations [J].

Bazilevs, Y. ;

Calo, V. M. ;

Hughes, T. J. R. ;

Zhang, Y. .

COMPUTATIONAL MECHANICS, 2008, 43 (01) :3-37

[7] Isogeometric fluid-structure interaction analysis with applications to arterial blood flow [J].

Bazilevs, Y. ;

Calo, V. M. ;

Zhang, Y. ;

Hughes, T. J. R. .

COMPUTATIONAL MECHANICS, 2006, 38 (4-5) :310-322

[8] Isogeometric analysis using T-splines [J].

Bazilevs, Y. ;

Calo, V. M. ;

Cottrell, J. A. ;

Evans, J. A. ;

Hughes, T. J. R. ;

Lipton, S. ;

Scott, M. A. ;

Sederberg, T. W. .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2010, 199 (5-8) :229-263

[9] STRESS PROJECTION FOR MEMBRANE AND SHEAR LOCKING IN SHELL FINITE-ELEMENTS [J].

BELYTSCHKO, T ;

STOLARSKI, H ;

LIU, WK ;

CARPENTER, N ;

ONG, JSJ .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1985, 51 (1-3) :221-258

[10] EXPLICIT ALGORITHMS FOR THE NONLINEAR DYNAMICS OF SHELLS [J].

BELYTSCHKO, T ;

LIN, JI ;

TSAY, CS .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1984, 42 (02) :225-251

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