<abstract xmlns="http://www.w3.org/1999/xhtml"><p>Considered the dynamic problem of the theory of elasticity for multilayered half-space. Boundary surface of inhomogeneous half-space loaded with normal load, and the boundaries of separation layers are in conditions of ideal mechanical contact. The formulation involves non-classical separation of equations of motion using two functions with a particular mechanical meaning volumetric expansion and function of acceleration of the shift. In terms of these functions obtained two wave equation, written boundary conditions and the conditions of ideal mechanical contact of layers. Using the Laguerre and Fourier integral transformations was obtained the solution of the formulated problem. The results of the calculation of the stress-strain state in the half-space with a coating for a local impact loading are presented.</p></abstract>

Considered the dynamic problem of the theory of elasticity for multilayered half-space. Boundary surface of inhomogeneous half-space loaded with normal load, and the boundaries of separation layers are in conditions of ideal mechanical contact. The formulation involves non-classical separation of equations of motion using two functions with a particular mechanical meaning volumetric expansion and function of acceleration of the shift. In terms of these functions obtained two wave equation, written boundary conditions and the conditions of ideal mechanical contact of layers. Using the Laguerre and Fourier integral transformations was obtained the solution of the formulated problem. The results of the calculation of the stress-strain state in the half-space with a coating for a local impact loading are presented.

TRANSIENT PLANE WAVES IN MULTILAYERED HALF-SPACE

Ivan Franko National University of L’viv, Universitetska 1, L’viv, Ukraine

Ukrainian National Forestry University, Gen. Chuprynky 103, L’viv, Ukraine

Acta Mechanica et Automatica

{"article-title":"TRANSIENT PLANE WAVES IN MULTILAYERED HALF-SPACE"}

Considered the dynamic problem of the theory of elasticity for multilayered half-space. Boundary surface of inhomogeneous half-space loaded with normal load,...

TRANSIENT PLANE WAVES IN MULTILAYERED HALF-SPACE

Published Online: Jan 22, 2014

Page range: 53 - 57

DOI: https://doi.org/10.2478/ama-2013-0010

This content is open access.