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Abstract
We discuss the ellipticity properties of an enhanced model of poroelastic continua called dilatational strain gradient elasticity. Within the theory there exists a deformation energy density given as a function of strains and gradient of dilatation. We show that the equilibrium equations are elliptic in the sense of Douglis–Nirenberg. These conditions are more general than the ordinary and strong ellipticity but keep almost all necessary properties of equilibrium equations. In particular, the loss of the ellipticity could be considered as a criterion of a strain localization or material instability.
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- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
-
INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
no. 190,
ISSN: 0020-7225 - Language:
- English
- Publication year:
- 2023
- Bibliographic description:
- Eremeev V.: Ellipticity of gradient poroelasticity// INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE -,iss. 1 (2023), s.1-7
- DOI:
- Digital Object Identifier (open in new tab) 10.1016/j.ijengsci.2023.103885
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
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