Boundary element solution of 2D coupled problem in anisotropic piezoelectric FGM plates

The mechanics of the piezoelectric functionally graded material (FGM) has received considerable research effort with their increasing usage in various applications including sensors and actuators, piezoelectric motors, reduction of vibrations and noise, infertility treatment and photovoltaics. It is hard to find the analytical solution of a problem in a general case, therefore, an important number of engineering and mathematical papers devoted to the numerical solution have studied the overall behavior of such materials. The time-stepping dual reciprocity boundary element method was proposed to solve the 2D coupled problem in anisotropic piezoelectric FGM plates. The accuracy of the proposed method was examined and confirmed by comparing the obtained results with those known previously

A 2D Time Domain DRBEM Computer Model for MagnetoThermoelastic Coupled Wave Propagation Problems

A numerical computer model based on the dual reciprocity boundary element method (DRBEM) is extended to study magneto-thermoelastic coupled wave propagation problems with relaxation times involving anisotropic functionally graded solids. The model formulation is tested through its application to the problem of a solid placed in a constant primary magnetic field acting in the direction of the z-axis and rotating about this axis with a constant angular velocity. In the case of two-dimensional deformation, an implicit-explicit time domain DRBEM was presented and implemented to obtain the solution for the displacement and temperature fields. A comparison of the results is presented graphically in the context of Lord and Shulman (LS) and Green and Lindsay (GL) theories. Numerical results that demonstrate the validity of the proposed method are also presented graphically

A 2-D Drbem for Generakized Magneto-Thermo-Viscoelastic Transient Response of Rotating Functionally Graded Aaisotropic Thick Strip

A numerical model based on the dual reciprocity boundary element method (DRBEM) is extended to study the generalized magneto thermo-viscoelastic transient response of rotating thick strip of functionally graded material (FGM) in the context of the Green and Naghdi theory of type III. The material properties of the strip have a gradient in the thickness direction and are anisotropic in the plane of the strip. An implicit-implicit staggered strategy was developed and implemented for use with the DRBEM to obtain the solution for the displacement and temperature fields. The accuracy of the proposed method was examined and confirmed by comparing to the obtained results with those known before. In the case of plane deformation, a numerical scheme for the implementation of the method is presented and the numerical computations are presented graphically to show the effect of the rotation on the temperature and displacement components

A New Boundary Element Technique For One- And Two-Temperature Models Of Biothermomechanical Behavior Of Anisotropic Biological Tissues

The main objective of this paper is to develop a novel boundary element technique for describing the three-dimensional (3D) biothermomechanical behavior of anisotropic biological tissues. The governing equations are studied on the basis of the dual phase lag bioheat transfer and Biot's theory for oneand two-temperature models. Because of the benefits of CQBEM, such as not being restricted by the complex shape of biological tissues and not requiring discretization of the interior of the treated region, it can cope with complex bioheat models and has low use of RAM and CPU. CQBEM is therefore a flexible and efficient tool for modeling the distribution of bioheat in anisotropic biological tissues and associated deformation. The resulting linear equations arising from CQBEM are solved by the generalized modified shift-splitting (GMSS) iterative method which reduces the number of iterations and the total time of the CPU. Numerical findings show the validity, efficacy and consistency of the proposed technique