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Abstract
In this paper we consider existence and uniqueness of the three-dimensional static boundary-value problems in the framework of so-called gradient-incomplete strain-gradient elasticity. We call the strain-gradient elasticity model gradient-incomplete such model where the considered strain energy density depends on displacements and only on some specific partial derivatives of displacements of first- and second-order. Such models appear as a result of homogenization of pantographic beam lattices and in some physical models. Using anisotropic Sobolev spaces we analyze the mathematical properties of weak solutions. Null-energy solutions are discussed.
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Authors (2)
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Francesco dell'Isola Dr. hab. Prof.
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- Copyright (2020 Pleiades Publishing, Ltd.)
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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Lobachevskii Journal of Mathematics
no. 41,
pages 1992 - 1998,
ISSN: 1995-0802 - Language:
- English
- Publication year:
- 2020
- Bibliographic description:
- Eremeev V., Dell'Isola F.: Weak Solutions within the Gradient-Incomplete Strain-Gradient Elasticity// Lobachevskii Journal of Mathematics -Vol. 41,iss. 10 (2020), s.1992-1998
- DOI:
- Digital Object Identifier (open in new tab) 10.1134/s1995080220100078
- Verified by:
- Gdańsk University of Technology
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