PROBLEM ON THE INTERACTION BETWEEN PLANE HARMONIC WAVES AND A UNIFORM STEEL PLATE IN SOIL ELASTIC ENVIRONMENT

Abstract

This article discusses the issue of the interaction between a harmonic plane wave and a homogeneous steel plate in a soil environment, specifically an elastic
environment, using analytical techniques. The plate's equation of motion is derived from the Kirchhoff-Love plate theory. In order to characterize the movement
of soil, one should use the equations derived from elasticity theory, Cauchy relations, physical equations, and Lame equations. The equations are extended into
trigonometric series that fulfill the associated boundary conditions. It is assumed that the pressure amplitude and normal stresses are equivalent. The boundary
conditions at the interface between the slab and the soil medium are determined by the requirement that the normal displacement be consistent throughout
the border of the obstacle and the soil medium. Once the internal integration constants have been found based on the boundary conditions, the values of
displacement and stress may be computed.