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

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Document typeArticle
Defense date2021-05-22
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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.
ISSN0272-4960
Publisher versionhttps://academic.oup.com/imamat/article-abstract/86/3/565/6280577
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