Nonlocal Electromechanical Effects within a cubic-symmetry dielectric materials
In this paper, we investigate the effect of nonlocality on the electromechanical phenomenon in anisotropic elastic dielectric materials with cubic symmetry using strain gradient theory of elasticity. The first stage involves applying the variational principle to the strain energy functional and the...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2025-09-01
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| Series: | Results in Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2590123025016871 |
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| Summary: | In this paper, we investigate the effect of nonlocality on the electromechanical phenomenon in anisotropic elastic dielectric materials with cubic symmetry using strain gradient theory of elasticity. The first stage involves applying the variational principle to the strain energy functional and the virtual work done by external forces, including mechanical forces, double forces, and electrical forces, known as the Hamiltonian principle. In the second stage, we apply the hypothesis that any variation in displacement leads to corresponding variations in the other electric quantities. In this study, this effect is referred to as nonlocality. This procedure leads to a nonlinear system of partial differential equations, where the nonlinearity appears in the equation of motion, while the electrostatic equations governing polarization and its gradient remain linear. As an application of the induced mathematical model, we consider a one-dimensional semi-infinite half-space occupied by anisotropic elastic dielectric material. The field equations and boundary conditions are formulated for materials exhibiting cubic symmetry. The exponential reductive perturbation method (ERPT) is applied to obtain hierarchical solutions for the problem, with the results plotted and discussed in detail. |
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| ISSN: | 2590-1230 |