 | | 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: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| A.R. El-Dhaba and A.M. Hamed, "Size-Dependent Effects on Dynamic Electromechanical Responses in Dielectric Crystals within Simplified Strain Gradient Elasticity," Mech. Solids. 60 (3), 2201-2224 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
3 |
Pages |
2201-2224 |
| DOI |
10.1134/S0025654425600825 |
| Title |
Size-Dependent Effects on Dynamic Electromechanical Responses in Dielectric Crystals within Simplified Strain Gradient Elasticity |
| Author(s) |
A.R. El-Dhaba (Department of Mathematics and Statistics, College of Science, King Faisal University, Al-Ahsa, 31982 Saudi Arabia, aemam@kfu.edu.sa)
A.M. Hamed (Department of Mathematics, College of Women, Ain Shams University, Cairo, Egypt, ayamasoud156@gmail.com) |
| Abstract |
In this work, we investigate the effect of characteristic length and lattice parameter, associated with microinertia, on internal state variables (displacement, polarization, and electric potential)
and constitutive relations (stress, higher-order stress, electric field, and electric field gradient) within
a dielectric crystal subjected to gradient of an electric field on its upper surface. To derive the field
equations and boundary conditions, we employ the simplified strain gradient theory of elasticity, combined with the variational principle of the electric enthalpy functional and external forces. The resulting boundary conditions are divided into mechanical boundary conditions (including stress vector,
higher-order stress vector, and displacement) and electrical boundary conditions (such as electric potential, surface/volume charges, and electric field). The field equations and boundary conditions
are then expressed in non-dimensional form. A wave solution approach is used to solve the mathematical model for a half-space occupied by dielectric crystals with cubic symmetry, and the physical quantities are subsequently plotted and analyzed. |
| Keywords |
Flexoelectric effect, Micro-inertia effect, cubic materials, Simplified strain gradient elasticity, Variational techniques, Wave solution, Size-dependent effect |
| Received |
20 February 2025 | Revised |
24 April 2025 | Accepted |
25 April 2025 |
| Link to Fulltext |
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