A regular variational boundary model for free vibrations of magneto-electro-elastic structures

Influence of Inhomogeneity and Initial Stress on the Transient Magneto-Thermo-Visco-Elastic Stress Waves in an Anisotropic Solid

“…We focus our attention to the case of inhomogeneity along x-axis, so we characterize the elastic constants pjkl C , magnetic permeability  , initial stress P , ther-mal conductivity coefficients pj k and density  of In terms of the definitions (12) and (13), Equations (1) and (5) can be written as follows…”

“…El-Naggar, et al [1,2] proposed explicit finite difference scheme to obtain thermal stresses in a non-homogeneous media. The boundary element method is well known for its accuracy and efficiency in stress analysis (see, for example, Brebbia and Nardini [3], Wrobel and Brebbia [4], Partridge, et al [5], Divo and Kassab [6], Gaul, et al [7], Matsumoto, et al [8], Fahmy [9][10][11], Davi and Milazzo [12]).…”

The Effect of Rotation and Inhomogeneity on the Transient Magneto-Thermoviscoelastic Stresses in an Anisotropic Solid

“…Fahmy [9] used the boundary element method to obtain thermal stresses in a nonhomogeneous anisotropie solid. More extensive applications of boundary element methods may be found in Canelas and Sensale [10], Davi and Müazzo [11], Fahmy and ElShahat [12], Hou et al [13], Karlis et al [14], Matsumoto et al [15], Mohammadi et al [16] and Zhang et al [17]. A completely different approach to address dynamic problems utilizing static fundamental solutions is the so-called dual reciprocity boundary element method (DRBBM).…”

3d Drbem Modeling for Rotating Initially Stressed Anisotropic Functionally Graded Piezoelectric Plates

“…Piezoelectric ceramics are being widely used in electromechanical devices such as sensors, filters, ultrasonic generators and actuators because they offer excellent coupling properties between the mechanical and electrical fields of these devices, and the fracture of these piezoelectric materials has therefore been receiving a great deal of attention (Suo et al [1], Pan [2], Jin and Zhong, [3], Zhang et al [4], Lin et al [5], Fang et al [6], Abd-Alla and Al-Sheikh [7,8], Kuna [9], Zaman et al [10], Zhong et al [11], Akbarzadeh et al [12], Davì and Milazzo [13], Abd-Alla et al [14], Abd-Alla and Askar [15], Alibeigloo and Liew [16] and Rafiee et al [17]). It is well known that extension of the current fundamental fracture concepts and criteria from pure elasticity to piezoelectricity is not straightforward because of the coupling between the mechanical and electric fields.…”