On the reflection of elastic waves incident on the boundary of a diatomic half-space
type: Item
instance of: scholarly article
title: On the reflection of elastic waves incident on the boundary of a diatomic half-space
zbMATH Open document ID: 0637.73021
DOI: 10.1016/0020-7683(88)90069-8
author: J. L. Nowinski
published in: International Journal of Solids and Structures
publication date: 1988-01-01T00:00:00Z
review text: The paper examines reflection of a plane longitudinal wave incident upon the surface of a half-infinite space the material of which is elastic, and the particles include two atoms of different thermomechanical properties. After establishing the constitutive equations of the constituents, equations of motion are solved by appeal to four quasi- potential functions. Satisfaction of the boundary conditions yields the characteristic equations of the problem which - in contrast to the conventional case, and in agreement with observations - indicates dispersion of waves. An example involving relaxed bonds between the constituents is examined and illustrated by graphs.
Mathematics Subject Classification ID: 74J20
Mathematics Subject Classification ID: 74A20
Mathematics Subject Classification ID: 74J99
zbMATH DE Number: 4039404
zbMATH Keywords: plane longitudinal wave
zbMATH Keywords: half-infinite space
zbMATH Keywords: atoms of different thermomechanical properties
zbMATH Keywords: four quasi-potential functions
MaRDI profile type: Publication
full work available at URL: 0020-7683(88)90069-8
OpenAlex ID: W2004175128
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description: scientific article; zbMATH DE number 4039404