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Nonlinear strain gradient and micromorphic one-dimensional elastic continua: Comparison through strong ellipticity conditions
Abstract
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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Authors (2)
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Emanuele Reccia Dr
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.mechrescom.2022.103909
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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MECHANICS RESEARCH COMMUNICATIONS
no. 124,
ISSN: 0093-6413 - Language:
- English
- Publication year:
- 2022
- Bibliographic description:
- 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:
- Digital Object Identifier (open in new tab) 10.1016/j.mechrescom.2022.103909
- Verified by:
- Gdańsk University of Technology
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