Nonlinear Waves in Solids and the Inverse Problems

Abstract

Reported in this paper are the results from the studies of nonlinear deformation waves in solids (i) with significant dispersion and (ii) with inhomogeneous properties and initial stress states. The analysis of wave fields at given properties and excitations (direct problems) gives insight for deriving the algorithms for solving the inverse problems. In this case the properties of the materials must be determined at given excitation and measured wave fields. The effects of nonlinearities are strong but give more information on the properties of materials or on the prestressed states of specimens.