Assessment of Reuss, Tamura, and LRVE models for vibration analysis of functionally graded nanoplates

• Autorzy: Shahsavari Davood , Karami Behrouz

Identyfikatory

DOI

10.1007/s43452-022-00409-5

• Języki publikacji: EN

Abstrakty

EN

Majority of structural analysis on functionally graded materials utilized Voigt and Mori-Tanaka micromechanical modelling. The current article is focused on free vibration response of inhomogeneous nano-size plate resting on elastic foundations against different micromechanical models (i.e., Reuss, Tamura, and LRVE). For the elastic foundation type, Winkler, Pasternak, and Kerr mediums are modelled one by one. The nanoplate is modelled based on a quasi-3D shear deformation plate theory which is in relation with general strain gradient theory by employing Hamilton principle, then the model is solved analytically via Navier solution procedure. This exact model determines fourfold coupled (stretching-axial-bending-shear) response with estimating softening-stiffness and hardening-stiffness mechanisms of nano-sized systems. Finally, numerical results are provided to represent the influence of size-dependent effects on vibrations of embedded nanoplate obtained through different micromechanical models.

Słowa kluczowe

EN

dynamical analysis; micromechanical model; composites; strain gradient theory; thickness stretching

PL

analiza dynamiczna; model mikromechaniczny; kompozyty; teoria gradientu odkształceń; rozciąganie

• Wydawca: Springer ; Wrocław University of Science and Technology
• Czasopismo: Archives of Civil and Mechanical Engineering
• Rocznik: 2022
• Tom: Vol. 22, no. 2
• Strony: art. no. e92, 1--13
• Opis fizyczny: Bibliogr. 42 poz., il., tab., wykr.

Twórcy

autor

Shahsavari Davood

• Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran

• https://orcid.org/0000-0001-8921-9137

autor

Karami Behrouz

• Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht, Iran

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023)