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Assessment of Reuss, Tamura, and LRVE models for vibration analysis of functionally graded nanoplates
https://orcid.org/http://orcid.org/0000-0001-8921-9137
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.
Assessment of Reuss, Tamura, and LRVE models for vibration analysis of functionally graded nanoplates
https://orcid.org/http://orcid.org/0000-0001-8921-9137
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.
Assessment of Reuss, Tamura, and LRVE models for vibration analysis of functionally graded nanoplates
https://orcid.org/http://orcid.org/0000-0001-8921-9137
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.
Assessment of Reuss, Tamura, and LRVE models for vibration analysis of functionally graded nanoplates
Archiv.Civ.Mech.Eng
Shahsavari, Davood (author) / Karami, Behrouz (author)
2022-03-19
Article (Journal)
Electronic Resource
English
Size-dependent free flexural vibration behavior of functionally graded nanoplates
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