...Huan-Feng Duan; Mohamed S. Ghidaoui; Yeou-Koung Tung This study investigates the energy relations and dissipations in viscoelastic pipeline under fluid transients. The investigation is carried out analytically using energy analysis and Fourier transform techniques for viscoelastic waterhammer...

...Xian-Fang Li An integral equation method is presented to determine dynamic elastic T -stress. Special attention is paid to a single crack in an infinite elastic plane subjected to impact loading. By using the Laplace and Fourier transforms, the associated initial-boundary value problem...

... solutions of two- and three-dimensional problems in the Fourier transform domain is also presented. A matrix solution in the triple transform domain is obtained by Brownwich expansion and the inverse transform is inverted by Cagniard’s method. The matrix representation of the solution can be easily used...

... W m } T where, U m , V m , W m are elements in Φ m 1 R . Recasting Eq. 11 in cylindrical coordinates ( r , θ , z ) followed by an inverse Fourier transform and some algebraic manipulation that includes the use of Cauchy's residue...

...Y. S. Wang,; G.-Y. Huang, and; D. Gross 17 03 2004 crack-edge stress field analysis interface phenomena elasticity transfer function matrices Fourier transforms boundary-value problems integral equations functionally graded materials mechanical contact shear modulus...

... crack-edge stress field analysis interface phenomena elasticity transfer function matrices Fourier transforms boundary-value problems integral equations functionally graded materials mechanical contact shear modulus In engineering composites, interfaces usually act as sources...

... are material constants. The crack boundary value problem is solved by means of Fourier transforms and the hypersingular integrodifferential equation method. The integral equation is discretized using the collocation method and a Chebyshev polynomial expansion. Formulas for stress intensity factors, K III...

... waves. Three plate geometries are considered as prototype examples: a homogeneous nickel (Ni) layer, a three-layered YBCO/Ni/YBCO, and a three-layered Ni/YBCO/Ni. Transient response due to a line force applied normal to the surface of the tape has been studied by means of Fourier transforms and direct...

... the thickness of the strip, and that the strip is under an antiplane mechanical loading and in-plane electric loading. By using the Fourier transform, the problem is first reduced to two pairs of dual integral equations and then into Fredholm integral equations of the second kind. The near-tip singular stress...

...Lu Sun Fourier transform is used to solve the problem of steady-state response of a beam on an elastic Winkler foundation subject to a moving constant line load. Theorem of residue is employed to evaluate the convolution in terms of Green’s function. A closed-form solution is presented with respect...

...-edge stress field analysis Fourier transforms Wave propagation in a layered medium is of both theoretical and practical importance in such fields as composite materials, geophysics, etc. Since the 1970s, the problems of wave scattering from an interface crack between two bonded elastic solids...

... JOURNAL OF APPLIED MECHANICS . 20 November 1998 07 December 1999 transient response elasticity torsion Fourier transforms Laplace transforms stress analysis The analysis of wave propagation in infinite elastic media containing cavities has been the topic of numerous...

... direction. The application of the Hamilton variational principle develops a set of governing ordinary differential equations. The particular solutions to the resulting equations are found using a modal analysis approach in conjunction with the Fourier transform technique. The complementary solutions...

... giving rise to moments symmetric about the crack plane is applied. It is assumed that the plate has the electric and magnetic permeabilities of the free space. By the use of Fourier transforms we reduce the problem to solving a pair of dual integral equations. The solution of the dual integral equations...