WAVE TRANSFER FUNCTIONS OF INHOMOGENEOUS LINEAR VISCOELASTIC MULTI-LAYERED MEDIA

Abstract

General Expressions of the one-dimensional wave transfer functions of the horizontally multi-layered media are derived to vertically incident waves of the SH type at the bottom boundaryadjacent to the foundation medium. It is assumed that each layer is composed of a homogeneousor an inhomogeneous, isotropic, linear viscoelastic medium. The properties of the inhomogeneousmedia treated herein are selected so that the fundamental solutions of their wave equations maybe expressed in terms of the Whittaker functions which contain the well-known trigonometric, exponential and Bessel functions. Some numerical examples are presented in graphical form andtheir wave transfer characteristics are discussed in detail.General Expressions of the one-dimensional wave transfer functions of the horizontally multi-layered media are derived to vertically incident waves of the SH type at the bottom boundaryadjacent to the foundation medium. It is assumed that each layer is composed of a homogeneousor an inhomogeneous, isotropic, linear viscoelastic medium. The properties of the inhomogeneousmedia treated herein are selected so that the fundamental solutions of their wave equations maybe expressed in terms of the Whittaker functions which contain the well-known trigonometric,exponential and Bessel functions. Some numerical examples are presented in graphical form andtheir wave transfer characteristics are discussed in detail