Some examples of nonuniqueness of solutions to the equation of linear elastodynamics
type: Item
instance of: scholarly article
title: Some examples of nonuniqueness of solutions to the equation of linear elastodynamics
zbMATH Open document ID: 0622.73003
DOI: 10.1007/BF00049453
author: Bruno Carbonaro
published in: Journal of Elasticity
publication date: 1987-01-01T00:00:00Z
review text: The author shows, by means of some examples, that the motion of a linear elastic body is not in general uniquely determined by the boundary and initial conditions and the body forces. In the case of a one-dimensional isotropic hyperelastic body, the problem admits at least one solution, and the solution corresponding to any set of prescribed initial and boundary data and body forces is not unique in general.
Mathematics Subject Classification ID: 74Axx
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 35A05
zbMATH DE Number: 4009886
zbMATH Keywords: dynamics
zbMATH Keywords: nonuniqueness
zbMATH Keywords: motion
zbMATH Keywords: one-dimensional isotropic hyperelastic body
reviewed by: Sitiro Minagawa
MaRDI profile type: Publication
cites work: Q5331410
cites work: Energy inequalities and the domain of influence theorem in classical elastodynamics
cites work: On the work and energy theorem for unbounded elastic bodies
cites work: A uniqueness theorem for a linear hyperbolic partial differential system of the second order
cites work: Q3475706
cites work: Q4079139
cites work: Classical elastodynamics as a linear symmetric hyperbolic system
cites work: Some theorems in classical elastodynamics
description: scientific article; zbMATH DE number 4009886