Acceleration waves through a mixture of two nonlinear elastic solids
type: Item
instance of: scholarly article
title: Acceleration waves through a mixture of two nonlinear elastic solids
zbMATH Open document ID: 0577.73035
DOI: 10.1007/BF01176672
author: A. Borrelli
author: M. C. Patria
published in: Acta Mechanica
publication date: 1985-01-01T00:00:00Z
review text: The authors consider the propagation of acceleration waves through an anisotropic mixture of two nonlinear elastic solids kept at the same temperaure. The normal speeds are shown to be square roots of an eigenvalue problem involving \(6\times 6\) positive definite symmetric matrices. It is shown that normal speed is homogeneous but anisotropic. A system of ordinary nonlinear differential equations is obtained to describe the growth of discontinuities along the rays. It is remarked that the results for linear elastic solids follow as a special case.
Mathematics Subject Classification ID: 74J99
Mathematics Subject Classification ID: 74E10
zbMATH DE Number: 3924240
zbMATH Keywords: Nariboli method
zbMATH Keywords: suitable hypotheses on constitutive equations
zbMATH Keywords: twelve real normal speeds
zbMATH Keywords: isothermal mixtures
zbMATH Keywords: 6x6 positive
zbMATH Keywords: definite symmetric matrices
zbMATH Keywords: acceleration waves
zbMATH Keywords: anisotropic mixture
zbMATH Keywords: two nonlinear elastic solids
zbMATH Keywords: same temperaure
zbMATH Keywords: normal speeds
zbMATH Keywords: square roots of an eigenvalue problem
zbMATH Keywords: system of ordinary nonlinear differential equations
zbMATH Keywords: growth of discontinuities along the rays
reviewed by: F. D. Zaman
MaRDI profile type: Publication
cites work: CONTINUUM THEORIES OF MIXTURES: BASIC THEORY AND HISTORICAL DEVELOPMENT
cites work: Continuum Theories of Mixtures: Applications
cites work: Speed of Propagation of Acceleration Waves in a Binary Nonreacting Mixture
cites work: Q5620369
cites work: Q3242668
cites work: Q3273795
description: scientific article; zbMATH DE number 3924240