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Advances in Nano Research Volume 7, Number 1, January 2019, pages 51-61 DOI: https://doi.org/10.12989/anr.2019.7.1.051 |
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Buckling analysis of nanoplate-type temperature-dependent heterogeneous materials |
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Behrouz Karami and Sara Karami
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| Abstract | ||
| This paper develops a four-unknown refined plate theory and the Galerkin method to investigate the size-dependent stability behavior of functionally graded material (FGM) under the thermal environment and the FGM having temperature-dependent material properties. In the current study two scale coefficients are considered to examine buckling behavior much accurately. Reuss micromechanical scheme is utilized to estimate the material properties of inhomogeneous nano-size plates. Governing differential equations, classical and non-classical boundary conditions are obtained by utilizing Hamiltonian principles. The results showed the high importance of considering temperature-dependent material properties for buckling analysis. Different influencing parametric on the buckling is studied which may help in design guidelines of such complex structures. | ||
| Key Words | ||
| temperature-dependent heterogeneous materials; refined plate theory; nonlocal strain gradient theory; thermal environment; Galerkin method | ||
| Address | ||
| (1) Behrouz Karami: Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran; (2) Sara Karami: Department of Geology, Shiraz Branch, Islamic Azad University, Shiraz, Iran. | ||