... technique, the pertinent four-part mixed boundary value problem (MBVP) is reduced to a decoupled Fredholm integral equation of the second kind. The results of two limiting cases of a single penny-shaped crack and a single annular crack are recovered. The contour plots of dimensionless intensity factors (IFs...

... 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...

.... 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...

... equation for the unknown crack-opening displacement. This integral equation has been further reduced to an infinite system of Fredholm integral equation of the second kind and the Fourier displacement potentials are expanded in terms of Jacobi’s orthogonal polynomials. Finally, proper use of orthogonality...

... 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...

... to a Fredholm integral equation of the second kind. In the formulation, the response of a thin buffer which regularizes the load transfer to the semi-infinite solid is approximated via a plane stress-type solution. A set of numerical results is included to demonstrate the effect of padding characteristics...

...A. K. Gautesen The steady-state problem of scattering of an incident Rayleigh wave by an elastic wedge whose angle is greater than 180 degrees is considered. The problem is reduced to the numerical solution of a pair of Fredholm integral equations of the second kind whose kernels consist...

... is then expressed in terms of a Fredholm integral equation of the second kind. The dynamic moment intensity factor versus frequency is computed and the influence of the magnetic field on the normalized values is displayed graphically. It is found that the existence of the magnetic field produces lower singular...