 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| V.A. Eremeyev, "On Strong Ellipticity and Infinitesimal Stability in Third-Order Nonlinear Strain Gradient Elasticity," Mech. Solids. 57 (8), 1953-1957 (2022) |
| Year |
2022 |
Volume |
57 |
Number |
8 |
Pages |
1953-1957 |
| DOI |
10.3103/S002565442208012X |
| Title |
On Strong Ellipticity and Infinitesimal Stability in Third-Order Nonlinear Strain Gradient Elasticity |
| Author(s) |
V.A. Eremeyev (University of Cagliari, Cagliari, 09124 Italy; Lobachevsky National Research Nizhny Novgorod State University, Nizhny Novgorod, 603105 Russia, eremeyev.victor@gmail.com) |
| Abstract |
The article formulates sufficient conditions for infinitesimal stability of affine deformation
for Dirichlet-type boundary conditions using third-order nonlinear gradient elasticity theory. The
conditions consist of three inequalities associated with strong ellipticity of the equilibrium equations. |
| Keywords |
strain gradient elasticity theory, strong ellipticity, infinitesimal stability |
| Received |
21 February 2022 | Revised |
06 August 2022 | Accepted |
18 August 2022 |
| Link to Fulltext |
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