The meshless method of fundamental solutions applied to couple stress problems

被引：4

作者：

El-metwaly, Aly R. ^{[1
]}

Kamal, M. A. ^{[2
]}

Rashed, Youssef F. ^{[3
]}

Zaky, Hany Nasry ^{[1
]}

Ismail, Ahmed S. ^{[1
]}

机构：

[1] Mil Tech Coll, Math Dept, Cairo, Egypt

[2] Benha Univ, Fac Engn Shoubra, Basic Engn Sci Dept, Cairo 11629, Egypt

[3] Cairo Univ, Dept Struct Engn, Giza 12613, Egypt

来源：

ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2023年 / 157卷

关键词：

Couple stress theory; Meshless techniques; Method of fundamental solutions; Particular solutions; Body forces; Hormander method; STRAIN GRADIENT THEORY; 3-DIMENSIONAL THERMOELASTICITY; DUAL RECIPROCITY; LOCALIZED METHOD; ELEMENT-ANALYSIS; PLANE PROBLEMS; FORMULATION; PLATES; BEM;

D O I：

10.1016/j.enganabound.2023.09.016

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, the meshless method of fundamental solutions is developed to solve couple stress problems even with the existence of body forces. Suitable new particular solutions are derived to deal with the non-homogeneous partial differential equations keeping the meshless essence of the developed technique. The derivation of the new particular solutions for generalizing displacements and tractions are discussed in detail. Several examples including stress concentration and problems with body forces are tested to demonstrate the efficiency and strength of the derived formulation.

引用

页码：390 / 399

页数：10

共 50 条

[31] The Method of Fundamental Solutions for axisymmetric elasticity problems
A. Karageorghis
G. Fairweather
Computational Mechanics, 2000, 25 : 524 - 532
[32] Method of fundamental solutions formulations for biharmonic problems
Gaspar, Csaba
Karageorghis, Andreas
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2025, 175
[33] The method of fundamental solutions for axisymmetric elasticity problems
Karageorghis, A
Fairweather, G
COMPUTATIONAL MECHANICS, 2000, 25 (06) : 524 - 532
[34] The method of fundamental solutions for inhomogeneous elliptic problems
A. Poullikkas
A. Karageorghis
G. Georgiou
Computational Mechanics, 1998, 22 : 100 - 107
[35] The method of fundamental solutions for anisotropic thermoelastic problems
Hematiyan, M. R.
Mohammadi, M.
Tsai, Chia-Cheng
APPLIED MATHEMATICAL MODELLING, 2021, 95 (95) : 200 - 218
[36] FUNDAMENTAL COLLOCATION METHOD APPLIED TO PLANE THERMOELASTICITY PROBLEMS
MAHAJERIN, E
BURGESS, G
COMPUTERS & STRUCTURES, 1995, 57 (05) : 795 - 797
[37] THE METHOD OF FUNDAMENTAL SOLUTIONS APPLIED TO SOME INVERSE EIGENPROBLEMS
Alves, Carlos J. S.
Antunes, Pedro R. S.
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2013, 35 (03): : A1689 - A1708
[38] The method of fundamental solutions applied to 3D elasticity problems using a continuous collocation scheme
Fam, George S. A.
Rashed, Youssef F.
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2009, 33 (03) : 330 - 341
[39] Performance of orthogonal meshless finite volume method applied to elastodynamic crack problems
Moosavi, M. R.
Delfanian, F.
Khelil, A.
THIN-WALLED STRUCTURES, 2012, 53 : 156 - 160
[40] Higher order meshless schemes applied to the finite element method in elliptic problems
Milewski, Slawomir
Putanowicz, Roman
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 77 (03) : 779 - 802

← 1 2 3 4 5 →