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Strong ellipticity conditions and infinitesimal stability within nonlinear strain gradient elasticity
Abstract
We discuss connections between the strong ellipticity condition and the infinitesimal instability within the nonlinear strain gradient elasticity. The strong ellipticity (SE) condition describes the property of equations of statics whereas the infinitesimal stability is introduced as the positive definiteness of the second variation of an energy functional. Here we establish few implications which simplify the further analysis of stability using formulated SE conditions. The results could be useful for the analysis of solutions of homogenized models of beam-lattice materials at different scales.
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- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.mechrescom.2021.103782
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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MECHANICS RESEARCH COMMUNICATIONS
no. 117,
ISSN: 0093-6413 - Language:
- English
- Publication year:
- 2021
- Bibliographic description:
- Eremeev V.: Strong ellipticity conditions and infinitesimal stability within nonlinear strain gradient elasticity// MECHANICS RESEARCH COMMUNICATIONS -Vol. 117, (2021), s.103782-
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.mechrescom.2021.103782
- Verified by:
- Gdańsk University of Technology
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