A dual reciprocity boundary face method for 3D non-homogeneous elasticity problems

被引：29

作者：

Zhou, Fenglin ^{[1
]}

Zhang, Jianming ^{[1
,2
]}

Sheng, Xiaomin ^{[1
]}

Li, Guangyao ^{[1
]}

机构：

[1] Hunan Univ, State Key Lab Adv Design & Mfg Vehicle Body, Coll Mech & Vehicle Engn, Changsha 410082, Hunan, Peoples R China

[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian 116023, Peoples R China

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2012年 / 36卷 / 09期

基金：

美国国家科学基金会;

关键词：

Boundary face method; Dual reciprocity method; Radial basis function; Non-homogeneous elasticity; Thin shell-like structure; ELEMENT METHOD; NODE METHOD; INTEGRALS;

D O I：

10.1016/j.enganabound.2012.03.009

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The boundary face method is coupled with the dual reciprocity method (DRM) to solve non-homogeneous elasticity problems. We will analyze thin structures based on 3D solid elastic theory rather than the shell theory as in the finite element method (FEM). To circumvent the ill-conditioning problem that occurs in the radial basis function (RBF) approximation in thin structures, a special variation scheme for determining the RBF parameters is proposed. In addition, a new exponential RBF is used which has significantly improved the stability of the RBF, and its particular solution to the elasticity problem is derived for the first time. Comparisons of our method with the traditional DRM, the boundary element method (BEM) and the FEM have been made. Numerical examples have demonstrated that our method outperforms the BEM and FEM with respect to stability, accuracy and efficiency, especially when the structure in question has features of small size, such as thin shells. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：1301 / 1310

页数：10

共 39 条

[1] Three-dimensional structural vibration analysis by the Dual Reciprocity BEM
Agnantiaris, JP
Polyzos, D
Beskos, DE
[J]. COMPUTATIONAL MECHANICS, 1998, 21 (4-5) : 372 - 381
[2] Brebbia CA., 1978, BOUNDARY ELEMENT MET
[3] Chati MK, 2000, INT J NUMER METH ENG, V47, P1523, DOI 10.1002/(SICI)1097-0207(20000330)47:9<1523::AID-NME836>3.3.CO
[4] 2-K
[5] An advanced 3D boundary element method for characterizations of composite materials
Chen, XL
Liu, YJ
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2005, 29 (06) : 513 - 523
[6] Studies of refinement and continuity in isogeometric structural analysis
Cottrell, J. A.
Hughes, T. J. R.
Reali, A.
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2007, 196 (41-44) : 4160 - 4183
[7] Effective elastic properties of doubly periodic array of inclusions of various shapes by the boundary element method
Dong, C. Y.
[J]. INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES, 2006, 43 (25-26) : 7919 - 7938
[8] The radial integration method for evaluation of domain integrals with boundary-only discretization
Gao, XW
[J]. ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2002, 26 (10) : 905 - 916
[9] Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
Hughes, TJR
Cottrell, JA
Bazilevs, Y
[J]. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2005, 194 (39-41) : 4135 - 4195
[10] Circumventing the ill-conditioning problem with multiquadric radial basis functions: Applications to elliptic partial differential equations
Kansa, EJ
Hon, YC
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 39 (7-8) : 123 - 137

← 1 2 3 4 →