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Keywords: Laplace transforms
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Journal Articles
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 is...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. January 2010, 77(1): 011002.
Published Online: September 23, 2009
... is t o = 10   s ) 05 09 2008 24 05 2009 23 09 2009 analytical solution cylinder dual-porosity dual-permeability fracture poroelastic unconfined compression elasticity internal stresses Laplace transforms...
Journal Articles
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 the...
Journal Articles
Article Type: Research Papers
J. Appl. Mech. November 2008, 75(6): 061023.
Published Online: August 22, 2008
... 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
Article Type: Research Papers
J. Appl. Mech. May 2008, 75(3): 031007.
Published Online: April 8, 2008
.... , 1967 , Viscoelasticity , Blaisdell , Waltham . Brancik , L. , 1999 , “ Programs for Fast Numerical Inversion of Laplace Transforms in Matlab Language Environment ,” Konference MATLAB’99 , Praha , pp. 27 – 39 . Candel , S. M. , 1981 , “ Simultaneous Calculations of Fourier...
Journal Articles
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
Article Type: Technical Briefs
J. Appl. Mech. March 2007, 74(2): 378–381.
Published Online: February 2, 2006
... 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
Article Type: Technical Papers
J. Appl. Mech. January 2007, 74(1): 65–73.
Published Online: October 18, 2005
... 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...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. July 2006, 73(4): 544–554.
Published Online: September 26, 2005
... 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
Article Type: Technical Papers
J. Appl. Mech. March 2006, 73(2): 268–280.
Published Online: July 22, 2005
... strain 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...
Journal Articles
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 of...
Journal Articles
Article Type: Brief Notes
J. Appl. Mech. July 2004, 71(4): 567–571.
Published Online: September 7, 2004
...Ji Hyuck Yang; Kang Yong Lee, Professor penny-shaped cracks piezoceramics lead compounds Hankel transforms Laplace transforms Fredholm integral equations impact (mechanical) crack-edge stress field analysis 1 Infinite piezoelectric strip with a penny-shaped...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. March 2003, 70(2): 281–291.
Published Online: March 27, 2003
... using 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. Natural frequencies in...
Journal Articles
Article Type: Brief Notes
J. Appl. Mech. July 2002, 69(4): 556–563.
Published Online: June 20, 2002
... 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...
Journal Articles
Article Type: Technical Papers
J. Appl. Mech. May 2002, 69(3): 303–308.
Published Online: May 3, 2002
... Guy , W. T. , 1966 , “ Numerical inversion of the Laplace transform by use of Jacobi polynomials ,” SIAM (Soc. Ind. Appl. Math.) J. Numer. Anal. , 3 , pp. 624 – 635 . penny-shaped cracks torsion elastic moduli adhesion impact (mechanical) Laplace transforms Hankel transforms...
Journal Articles
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
Article Type: Technical Papers
J. Appl. Mech. March 2001, 68(2): 192–198.
Published Online: July 1, 2000
... 1 × 10 − 8 correspondence principle damping viscoelasticity porous materials differential equations convolution stress effects integration Laplace transforms 12 December 1999 01 July 2000 Biot , M. A...
Journal Articles
Article Type: Brief Notes
J. Appl. Mech. January 2001, 68(1): 129–132.
Published Online: June 14, 2000
... materials viscoelasticity relaxation Laplace transforms Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS . Manuscript received by the ASME Applied Mechanics Division, Jan. 18, 2000; final...
Journal Articles
Article Type: Brief Notes
J. Appl. Mech. September 2000, 67(3): 628–629.
Published Online: May 5, 2000
... , Dover, New York. Timoshenko, S. P., and Goodier, J. N., 1970, Theory of Elasticity , 3rd Ed., McGraw-Hill, New York. elastic deformation Laplace transforms Poisson ratio tensors stress analysis Young's modulus Galerkin method Contributed by the Applied Mechanics Division of THE...
Journal Articles
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. By the...