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Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory

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Abstract

Analytical solutions for bending, buckling, and vibration of micro-sized plates on elastic medium using the modified couple stress theory are presented. The governing equations for bending, buckling and vibration are obtained via Hamilton’s principles in conjunctions with the modified couple stress and Kirchhoff plate theories. The surrounding elastic medium is modeled as the Winkler elastic foundation. Navier’s method is being employed and analytical solutions for the bending, buckling and free vibration problems are obtained. Influences of the elastic medium and the length scale parameter on the bending, buckling, and vibration properties are discussed.

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Authors and Affiliations

  1. Civil Engineering Department, Division of Mechanics, Akdeniz University, Antalya, Turkey

    Bekir Akgöz & Ömer Civalek

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  1. Bekir Akgöz
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  2. Ömer Civalek
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Correspondence to Ömer Civalek.

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Akgöz, B., Civalek, Ö. Modeling and analysis of micro-sized plates resting on elastic medium using the modified couple stress theory. Meccanica 48, 863–873 (2013). https://doi.org/10.1007/s11012-012-9639-x

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  • DOI: https://doi.org/10.1007/s11012-012-9639-x

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