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Structural Engineering and Mechanics Volume 67, Number 2, July25 2018 , pages 143-153 DOI: https://doi.org/10.12989/sem.2018.67.2.143 |
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Surface and flexoelectricity effects on size-dependent thermal stability analysis of smart piezoelectric nanoplates |
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Farzad Ebrahimi and Mohammad Reza Barati
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| Abstract | ||
| Thermal buckling of nonlocal flexoelectric nanoplates incorporating surface effects is analyzed for the first time. Coupling of strain gradients and electrical polarizations is introduced by flexoelectricity. It is assumed that flexoelectric nanoplate is subjected to uniform and linear temperature distributions. Long range interaction between atoms of nanoplate is modeled via nonlocal elasticity theory. The residual surface stresses which are usually neglected in modeling of flexoelectric nanoplates are incorporated into nonlocal elasticity to provide better understanding of the physic of problem. A Galerkin-based approach is implemented to solve the governing equations derived from Hamilton\'s principle are solved. The verification of obtained results is performed by comparing buckling loads of flexoelectric nanoplate with previous data. It is shown that buckling loads of flexoelectric nanoplate are significantly affected by thermal loading type, temperature change, nonlocal parameter, surface effect, plate thickness and boundary conditions. | ||
| Key Words | ||
| thermal buckling; flexoelectric nanoplate; surface effect; nonlocal elasticity theory | ||
| Address | ||
| Farzad Ebrahimi and Mohammad Reza Barati: Department of Mechanical Engineering, Faculty of Engineering, Imam Khomeini International University, P.O.B. 16818-34149, Qazvin, Iran | ||