On the instability, nonexistence and spatial behaviour of the one-dimensional response of a new class of elastic bodies

In this note we consider 1D problems within the context of a new class of elastic bodies. Under suitable conditions on the constitutive equations we prove instability and nonexistence of solutions similar to those in place for the linearized theory. The last section is devoted to describing the spat...

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Bibliographic Details
Published inIMA journal of applied mathematics Vol. 86; no. 3; pp. 565 - 576
Main Authors Quintanilla, R, Rajagopal, K R
Format Journal Article
LanguageEnglish
Published Oxford University Press 01.06.2021
Subjects
spatial behaviour
nonexistence of solutions
elastic solid
instability
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Summary:In this note we consider 1D problems within the context of a new class of elastic bodies. Under suitable conditions on the constitutive equations we prove instability and nonexistence of solutions similar to those in place for the linearized theory. The last section is devoted to describing the spatial behavior of the solutions.
ISSN:0272-4960
1464-3634
DOI:10.1093/imamat/hxab014