Boundary Element Method Solution of a 2D Problem of a Thick Elastic Plate with Magnetic Field as External Force

被引：0

作者：

Salama, Moustafa M. ^{[1
,2
]}

Abo-Dahab, S. M. ^{[2
,3
]}

机构：

[1] City Sci Res & Technol Applicat, Informat Res Inst, Dept Comp Based Engn Applicat, Alexandria, Egypt

[2] Taif Univ, Dept Math, Fac Sci, At Taif 888, Saudi Arabia

[3] SVU, Dept Math, Fac Sci, Qena 83523, Egypt

来源：

JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE | 2014年 / 11卷 / 11期

关键词：

Magnetic Field; Galerkin Vectors; BEM; Thick Plate; HYDROSTATIC INITIAL STRESS; HALF-SPACE; REFLECTION;

D O I：

10.1166/jctn.2014.3638

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

A Boundary Element Method (BEM) for solving two (2D) dimensional static problem in materials under magnetic field as an external force is illustrated. A non-dimensional fundamental solution for stresses and displacements are obtained using Galerkin vectors. A reciprocity theorem is obtained. Integral representation of the displacement components is obtained. The formulation was applied to a specific problem for a thick plate. The results are compared with the exact analytical solutions obtained by using the Fourier exponential to transform for validation. The effect of magnetic field is calculated numerically and displayed graphically.

引用

页码：2289 / 2296

页数：8

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