Green's functions and boundary element method for transversely isotropic piezoelectric materials

HJ Ding, WQ Chen, AM Jiang - Engineering analysis with boundary …, 2004 - Elsevier
This paper summarizes our work on Green's functions and boundary element method for
transversely isotropic piezoelectric materials. These include the two-dimensional (2D) …

Differential-algebraic approach to coupled problems of dynamic thermoelasticity

L Wang, RVN Melnik - Applied Mathematics and Mechanics, 2006 - Springer
An efficient numerical approach for the general thermomechanical problems was developed
and it was tested for a two-dimensional thermoelasticity problem. The main idea of our …

Implementation of Trefftz method for the solution of some elliptic boundary value problems

MS Abou-Dina - Applied mathematics and computation, 2002 - Elsevier
The purpose of this paper is to implement the well-known Trefftz method for the approximate
solution of some elliptic boundary value problems for the two-dimensional Laplace's and the …

On the boundary integral formulation of the plane theory of thermoelasticity (analytical aspects)

MS Abou-Dina, AF Ghaleb - Journal of thermal stresses, 2002 - Taylor & Francis
The main purpose of this work is to present a formulation of the plane strain problem of
thermoelasticity with heat sources for simply connected regions based on the combined use …

A problem of plane, uncoupled linear thermoelasticity for an infinite, elliptical cylinder by a boundary integral method

AR El Dhaba, AF Ghaleb… - Journal of thermal …, 2003 - Taylor & Francis
A boundary integral method is used to solve the problem of plane, uncoupled linear
thermoelasticity with heat sources for an infinite cylinder with elliptical cross section …

Deformation for a rectangle by a finite Fourier transform

AR El Dhaba, MS Abou-Dina… - Journal of computational …, 2015 - ingentaconnect.com
In this paper, we introduce a simple method to solve a static, plane boundary value problem
in elasticity for an isotropic rectangular region. The method depends on finite Fourier …

Boundary integral formulation of the plane theory of thermo-magnetoelasticity

MS Abou-Dina, AF Ghaleb - International Journal of Applied …, 2000 - content.iospress.com
The purpose of this work is to present a general formulation of the static, linear plane strain
problem of uncoupled thermo-magnetoelasticity for isotropic media occupying simply …

[HTML][HTML] On the boundary integral formulation of the plane theory of elasticity (computational aspects)

MS Abou-Dina, AF Ghaleb - Journal of computational and applied …, 2003 - Elsevier
A numerical scheme is proposed for the solution of the system of field equations and
boundary conditions of the static, linear plane strain problem of the Theory of Elasticity in …

[HTML][HTML] Boundary integral method applied to the propagation of non-linear gravity waves generated by a moving bottom

FM Hassan - Applied Mathematical Modelling, 2009 - Elsevier
A numerical procedure is applied for the solution of the non-linear problem of propagation of
waves generated in a homogeneous fluid, occupying an infinite channel, by the bounded …

[HTML][HTML] A variant of Trefftz's method by boundary Fourier expansion for solving regular and singular plane boundary-value problems

MS Abou-Dina, AF Ghaleb - Journal of computational and applied …, 2004 - Elsevier
The main objective of the present work is to introduce a variant of Trefftz's method for finding
approximate solutions to regular or singular two-dimensional boundary-value problems for …