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 64 条

[1] A new method of fundamental solutions applied to nonhomogeneous elliptic problems [J].