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

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10.1093/imamat/hxab014
 
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Quintanilla de Latorre, RamónMés informacióMés informacióMés informació
Rajagopal, Kumbakonam
Document typeArticle
Defense date2021-05-22
Rights accessOpen Access
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
ProjectANALISIS MATEMATICO APLICADO A LA TERMOMECANICA (AEI-PID2019-105118GB-I00)
Abstract
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.
CitationQuintanilla, R.; Rajagopal, K. On the instability, nonexistence and spatial behaviour of the one-dimensional response of a new class of elastic bodies. "IMA Journal of Applied Mathematics", 22 Maig 2021, vol. 86, núm. 3, p. 565-576. 
URIhttp://hdl.handle.net/2117/347518
DOI10.1093/imamat/hxab014
ISSN0272-4960
Publisher versionhttps://academic.oup.com/imamat/article-abstract/86/3/565/6280577
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