...I. Keles; N. Tutuncu Free and forced vibration analyses of functionally graded hollow cylinders and spheres are performed and analytical benchmark solutions are presented. The material is assumed to be graded in the radial direction according to a simple power law. The Laplace transform method...

... Analysis to Double-Porosity Materials: New Technique in Microgeomechanics ,” J. Eng. Mech. 0733-9399 , 128 ( 8 ), pp. 840 – 847 . 10.1061/(ASCE)0733-9399(2002)128:8(840) Stehfest , H. , 1970 , “ Numerical Inversion of Laplace Transforms ,” Commun. ACM 0001-0782 , 13 , pp. 47 – 49...

...C. J. Toki In this paper, we consider the unsteady free-convection flows of a viscous and incompressible fluid near an oscillating porous infinite vertical plate (or wall) during the heating of the plate. The governing equations are solved in closed form by the Laplace transform technique, when...

... with the Laplace transform. Numerical results are presented. These results demonstrate that this advanced sandwich model can capture the transient responses such as the stress shock wave effect and the differences in the transient behaviors of the face sheets and the core when a sandwich shadow shell is subjected...

..., which is of paramount importance to many applications. Because we use Laplace transform rather than Fourier transform in the analysis as well as the adoption of fast algorithm for evaluating Laplace and Hankel transforms, transient wave propagation in viscoelastic solids with any specific initial...

...C. J. Toki An exact solution of the problem of the unsteady free convection and mass transfer flow near an infinite vertical porous plate, which moves with time-dependent velocity in a viscous and incompressible fluid, is presented here by the Laplace transform technique. All expressions of the new...

... is transformed to a Fredholm integral equation. The dynamic T -stress in the Laplace transform domain can be expressed in terms of its solution. Moreover, an explicit expression for initial T -stress is derived in closed form. Numerically solving the resulting equation and performing the inverse Laplace...

... for the dynamic responses of stresses, perturbation of magnetic field vector, electric displacement, and electric potential in piezoelectric hollow spheres are obtained by means of Hankel transform, Laplace transform and their inverse transforms. An interpolation method is applied to solve the Volterra integral...

..., and then the dynamic stress intensity factors are determined by implementing a numerical inversion of the Laplace transform. As an example, numerical calculations are carried out for a cracked bimaterial plate composed of aluminum (material I) and epoxy or steel (material II). The effects of material properties...

... and interface separation∕slip magnitude. We appeal to the uniqueness of the Laplace transform and its inverse to show that these equations also apply to an RVE with the composite cylinders microstructure. For a matrix, which is a standard linear solid ( n = 2 ) , the governing equations are analyzed in detail...

... electromagnetic radiation) on a surface target, (ii) underground nuclear activity, and (iii) friction developed during underground fault motions related to seismic activity. The problem was attacked with unilateral and double bilateral Laplace transforms, which suppress, respectively, the time variable and two...

.... 12, 2001. Associate Editor: K. Ravi-Chandar. 13 Dec 2000 12 Dec 2001 07 09 2004 penny-shaped cracks piezoceramics lead compounds Hankel transforms Laplace transforms Fredholm integral equations impact (mechanical) crack-edge stress field analysis The dynamic...

... the Durbin’s numerical inverse Laplace transform method. The free and forced vibrations of cylindrical helical rods are analyzed through various example. The results obtained in this study are found to be in a good agreement with those available in the literature. Contributed by the Applied Mechanics...

... in the article. The closed-form general solutions of temperature, displacements, and stresses can then be obtained in the Fourier and the Laplace transform domains by using the technique of Kirchhoff transformation. The effects of temperature-dependent material properties on the distributions of temperature...

... . 23 June 1999 22 June 2000 03 05 2002 penny-shaped cracks torsion elastic moduli adhesion impact (mechanical) Laplace transforms Hankel transforms dislocation density boundary-value problems crack-edge stress field analysis Interface crack problems of composite...

...P. Hosseini-Tehrani; M. R. Eslami, Fellow ASME; H. R. Daghyani A boundary element method using Laplace transform in time domain is developed for the analysis of fracture mechanic under coupled thermoelastic assumption. The transient coupled thermoelastic field is solved without need for domain...

... in the ASME JOURNAL OF APPLIED MECHANICS . 12 December 1999 01 July 2000 correspondence principle damping viscoelasticity porous materials differential equations convolution stress effects integration Laplace transforms For a wide range of fluid infiltrated materials...

... viscoelasticity relaxation Laplace transforms Functionally graded materials (FGMs) are special composites usually made from both ceramics and metals. The ceramic in an FGM offers thermal barrier effects and protects the metal from corrosion and oxidation. The FGM is toughened and strengthened...

.... Associate Technical Editor: J. R. Barber. 19 Nov 1999 05 May 2000 elastic deformation Laplace transforms Poisson ratio tensors stress analysis Young's modulus Galerkin method Let ( r , θ, z ) denote the standard set of polar cylindrical coordinates. This note was inspired...

...W.-H. Chen, Professor, Mem. ASME; C.-L. Chang; C.-H. Tsai The Laplace finite element alternating method, which combines the Laplace transform technique and the finite element alternating method, is developed to deal with the elastodynamic analysis of a finite plate with multiple cracks...