... pressure field is assumed to conform to the second type of boundary conditions. Boundary conditions of the displacement field are chosen with care to match the appropriate finite sine and cosine transforms and simplify the resulting solution. It is found that the analytical solution is always independent...

... used point load. Efficient numerical algorithms based on fast evaluation of various integral transformations and their inversions are developed and validated through numerical example. 26 11 2007 26 01 2009 21 04 2009 dynamic response elastic waves inhomogeneous media...

...L. Sun, Assistant Professor, In this paper Fourier transform is used to derive the analytical solution of a Kirchhoff plate on a viscoelastic foundation subjected to harmonic circular loads. The solution is first given as a convolution of the Green’s function of the plate. Poles of the integrand...

... to their duals via Legendre transforms either in the spaces of ensemble average velocities or ensemble-average dissipative forces. In the limit of infinite volumes (RVE limit (ii) above) all the functionals become deterministic, and classical Legendre transforms of deterministic thermomechanics hold...

... on integral transforms is carried out for the case of contact zone expansion at a constant subcritical rate. Certain functions in the transform space can be factored in such a manner that the resulting solutions, despite anisotropy, have rather simple forms. This factorization is also exploited to obtain...

...E. L. Bonnaud, Graduate Student; J. M. Neumeister, Associate Professor A stress analysis of a plane infinitely layered medium subjected to surface loadings is performed using Airy stress functions, integral transforms, and a revised transfer matrix approach. Proper boundary conditions at infinity...