Acceleration waves in elastic solids near the melting point
type: Item
instance of: scholarly article
title: Acceleration waves in elastic solids near the melting point
zbMATH Open document ID: 0587.73177
DOI: 10.1016/0020-7225(86)90010-8
author: Masaru Sugiyama
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: By adopting the self-consistent Einstein model for elastic solids and by using the method of singular surface, adiabatic and isothermal acceleration waves in elastic solids in the vicinity of the melting point are studied theoretically. The propagation velocities of the waves are determined and differential equations which govern the variation of amplitudes with time are obtained. It is shwon that properties of solid materials near the melting point reflect sensitively on the wave propagations. The following facts are also shown.: (1) The variation of amplitudes may have a universal character irrespective of elastic solids. (2) There exist singularities in the temperature dependences of the wave propagations just at the melting point.
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 74J99
zbMATH DE Number: 3943273
zbMATH Keywords: jump discontinuities
zbMATH Keywords: self-consistent Einstein model
zbMATH Keywords: method of singular surface
zbMATH Keywords: adiabatic and isothermal acceleration waves
zbMATH Keywords: melting point
zbMATH Keywords: differential equations
zbMATH Keywords: variation of amplitudes with time
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90010-8
OpenAlex ID: W2088241607
cites work: Self-consistent Einstein model and theory of anharmonic surface vibration. I: One-dimensional model.
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cites work: Micropolar media. I: The classical theory. II: The relativistic theory
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description: scientific article; zbMATH DE number 3943273