...Chun-Ron Chiang; George J. Weng By means of the Hankel transform and dual-integral equations, the nonlinear response of a penny-shaped dielectric crack with a permittivity κ 0 in a transversely isotropic piezoelectric ceramic is solved under the applied tensile stress σ z A and electric...

... 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...

... dielectric crack perpendicular to the poling axis. Using electric boundary conditions controlled by the boundaries of an opening crack, the electric displacements at the crack surfaces are determined. The Hankel transform technique is employed to reduce the considered problem to dual integral equations...

.... 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...

... methods transforms algorithm theory Hankel transforms Bessel functions stress analysis 25 Jan 2000 15 Sep 2002 25 08 2003 Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS...

... in the direction perpendicular to the crack surface is continuous throughout the space and the crack surfaces are subjected to torsional impact loading. A special model for describing material inhomogeneity parameter is introduced. Laplace and Hankel transforms are applied to reduce the mixed boundary value...

... the shear stress in addition to the normal stresses. The Green’s function method permits the development of a solution irrespective of the type of magnetic body forces within the coil. Green’s functions are derived by using finite Hankel transforms appropriate for a cylindrical coil. Contributed...