Nonlinear strain gradient and micromorphic one-dimensional elastic continua: Comparison through strong ellipticity conditions - Publikacja - MOST Wiedzy

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Nonlinear strain gradient and micromorphic one-dimensional elastic continua: Comparison through strong ellipticity conditions

Abstrakt

We discuss the strong ellipticity (SE) conditions for strain gradient and micromorphic continua considering them as an enhancement of a simple nonlinearly elastic material called in the following primary material. Recently both models are widely used for description of material behavior of beam-lattice metamaterials which may possess various types of material instabilities. We analyze how a possible loss of SE results in the behavior of enhanced models. We shown that SE conditions for a micromorphic medium is more restrictive than for its gradient counterpart. On the other hand we see that a violation of SE for a primary material affects solutions within enhanced models even if the SE conditions are fulfilled for them.

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Informacje szczegółowe

Kategoria:
Publikacja w czasopiśmie
Typ:
artykuły w czasopismach
Opublikowano w:
MECHANICS RESEARCH COMMUNICATIONS nr 124,
ISSN: 0093-6413
Język:
angielski
Rok wydania:
2022
Opis bibliograficzny:
Eremeev V., Reccia E.: Nonlinear strain gradient and micromorphic one-dimensional elastic continua: Comparison through strong ellipticity conditions// MECHANICS RESEARCH COMMUNICATIONS -, (2022), s.1-7
DOI:
Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1016/j.mechrescom.2022.103909
Weryfikacja:
Politechnika Gdańska

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