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Keywords: Laplace transforms
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Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2011, 78(6): 061014.
Published Online: August 25, 2011
...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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2010, 77(1): 011002.
Published Online: September 23, 2009
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. January 2009, 76(1): 014503.
Published Online: October 31, 2008
...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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. November 2008, 75(6): 061023.
Published Online: August 22, 2008
... 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. May 2008, 75(3): 031007.
Published Online: April 8, 2008
... computer program theory can be used easily to construct and compute Green’s function (fundamental solution) of multilayered viscoelastic solid, 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...
Journal Articles
Publisher: ASME
Article Type: Research Papers
J. Appl. Mech. January 2008, 75(1): 011014.
Published Online: January 14, 2008
...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...
Journal Articles
Publisher: ASME
Article Type: Technical Briefs
J. Appl. Mech. March 2007, 74(2): 378–381.
Published Online: February 2, 2006
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. January 2007, 74(1): 65–73.
Published Online: October 18, 2005
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2006, 73(4): 544–554.
Published Online: September 26, 2005
..., 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 2006, 73(2): 268–280.
Published Online: July 22, 2005
... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. January 2005, 72(1): 129–138.
Published Online: February 1, 2005
... 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...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. July 2004, 71(4): 567–571.
Published Online: September 7, 2004
.... 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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 2003, 70(2): 281–291.
Published Online: March 27, 2003
... 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...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. July 2002, 69(4): 556–563.
Published Online: June 20, 2002
... 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...
Journal Articles
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. July 2001, 68(4): 584–588.
Published Online: September 19, 2000
...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...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. March 2001, 68(2): 192–198.
Published Online: July 1, 2000
..., pressure, and displacement loading are studied. correspondence principle damping viscoelasticity porous materials differential equations convolution stress effects integration Laplace transforms Proceeding in taking Darcy’s law (12) q ^ i = − κ p ^ , i + s 2...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. January 2001, 68(1): 129–132.
Published Online: June 14, 2000
... 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...
Journal Articles
Publisher: ASME
Article Type: Brief Notes
J. Appl. Mech. September 2000, 67(3): 628–629.
Published Online: May 5, 2000
.... 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 Fung, Y. C., 1965, Foundations of Solid Mechanics , Prentice-Hall, Englewood Cliffs, NJ...
Journal Articles
Publisher: ASME
Article Type: Technical Papers
J. Appl. Mech. September 2000, 67(3): 606–615.
Published Online: December 26, 1999
...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...