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Article

Wave Propagation of Porous Nanoshells

1
Department of Mechanical Engineering, Marvdasht Branch, Islamic Azad University, Marvdasht 73711-13119, Iran
2
Department of Innovation Engineering, Università del Salento, Lecce 73100, Italy
*
Authors to whom correspondence should be addressed.
Nanomaterials 2019, 9(1), 22; https://doi.org/10.3390/nano9010022
Received: 29 November 2018 / Revised: 20 December 2018 / Accepted: 21 December 2018 / Published: 24 December 2018
This study aims at investigating the wave propagation of porous nanoshells. The Bi-Helmholtz non-local strain gradient theory is employed in conjunction with a higher-order shear deformation shell theory, in order to include the size-dependent effects. The nanoshells are made of a porous functionally graded material (P-FGM), whose properties vary continuously along the thickness direction. A variational approach is here applied to handle the governing equations of the problem, which are solved analytically to compute the wave frequencies and phase velocities as function of the wave numbers. The sensitivity of the wave response is analyzed for a varying porosity volume fraction, material properties, non-local parameters, strain gradient length scales, temperature, humidity, and wave numbers. Based on the results, it is verified that the size-dependence of the response is almost the same to the one of plates, beams and tubes. View Full-Text
Keywords: doubly-curved nanoshell; generalized non-local strain gradient theory; higher-order shear deformation shell theory; porous materials; wave propagation doubly-curved nanoshell; generalized non-local strain gradient theory; higher-order shear deformation shell theory; porous materials; wave propagation
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MDPI and ACS Style

Karami, B.; Shahsavari, D.; Janghorban, M.; Dimitri, R.; Tornabene, F. Wave Propagation of Porous Nanoshells. Nanomaterials 2019, 9, 22. https://doi.org/10.3390/nano9010022

AMA Style

Karami B, Shahsavari D, Janghorban M, Dimitri R, Tornabene F. Wave Propagation of Porous Nanoshells. Nanomaterials. 2019; 9(1):22. https://doi.org/10.3390/nano9010022

Chicago/Turabian Style

Karami, Behrouz; Shahsavari, Davood; Janghorban, Maziar; Dimitri, Rossana; Tornabene, Francesco. 2019. "Wave Propagation of Porous Nanoshells" Nanomaterials 9, no. 1: 22. https://doi.org/10.3390/nano9010022

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