The discrete strain gap method and membrane locking

被引：56

作者：

Koschnick, F ^{[1
]}

Bischoff, M ^{[1
]}

Camprubí, N ^{[1
]}

Bletzinger, KU ^{[1
]}

机构：

[1] Tech Univ Munich, Lehrstuhl Stat, D-80290 Munich, Germany

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2005年 / 194卷 / 21-24期

关键词：

shell finite elements; triangles and quadrilaterals; DSG method; membrane locking;

D O I：

10.1016/j.cma.2004.07.040

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The discrete shear gap (DSG) method, initially proposed for the elimination of transverse shear locking in plate and shell finite elements, is extended to a more general concept, rephrasing 'DSG' as 'discrete strain gap'. We focus on the application of the method to the problem of membrane locking in beam and shell finite elements in the present paper. It turns out that a straightforward extension of the original DSG method is suitable to avoid membrane locking for both triangles and quadrilaterals. Moreover, there are strong indications that the presented idea includes the potential for a general formulation of locking-free structural finite elements, equally well suited for beams, plates, shells and solids. (c) 2005 Elsevier B.V. All rights reserved.

引用

页码：2444 / 2463

页数：20

共 32 条

[1] EAS-ELEMENTS FOR 2-DIMENSIONAL, 3-DIMENSIONAL, PLATE AND SHELL STRUCTURES AND THEIR EQUIVALENCE TO HR-ELEMENTS
ANDELFINGER, U
RAMM, E
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1993, 36 (08) : 1311 - 1337
[2] [Anonymous], FINITE ELEMENT METHO
[3] Locking-free finite element methods for shells
Arnold, DN
Brezzi, F
[J]. MATHEMATICS OF COMPUTATION, 1997, 66 (217) : 1 - 14
[4] A 4-NODE PLATE BENDING ELEMENT BASED ON MINDLIN REISSNER PLATE-THEORY AND A MIXED INTERPOLATION
BATHE, KJ
DVORKIN, EN
[J]. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 1985, 21 (02) : 367 - 383
[5] A 4-node finite shell element for the implementation of general hyperelastic 3D-elasticity at finite strains
Betsch, P
Gruttmann, F
Stein, E
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1996, 130 (1-2) : 57 - 79
[6] Bischoff M, 1997, INT J NUMER METH ENG, V40, P4427, DOI 10.1002/(SICI)1097-0207(19971215)40:23<4427::AID-NME268>3.0.CO
[7] 2-9
[8] Bischoff M, 2001, TRENDS IN COMPUTATIONAL STRUCTURAL MECHANICS, P253
[9] BISCHOFF M, 1999, THESIS U STUTTGART
[10] Bletzinger K., 2003, P 4 EUR LS DYNA US C

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