Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2024-3pp.1707-1743

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L. Anitha, J. Sudha, R. Selvamani, and Farzad Ebrahami, "Nonlinear Poro-Visco-Thermal Vibrations in Piezo-Thermoelastic Hygroscopic Sandwich Shells," Mech. Solids. 59 (3), 1707-1743 (2024)
Year 2024 Volume 59 Number 3 Pages 1707-1743
DOI 10.1134/S0025654424603744
Title Nonlinear Poro-Visco-Thermal Vibrations in Piezo-Thermoelastic Hygroscopic Sandwich Shells
Author(s) L. Anitha (Department of Mathematics, Nehru Memorial College, Puthanampatti, Trichy, Tamilnadu, India)
J. Sudha (Department of Mathematics, Nandha Arts and Science College Erode, Tamilnadu, India)
R. Selvamani (Department of Mathematics, Karunya Institute of Technology and Sciences, Coimbatore, Tamil Nadu, India, selvam1729@gmail.com)
Farzad Ebrahami (Department of Mechanical Engineering, Imam Khomeini International University, Qazvin, Iran)
Abstract This study utilizes a multiple scales perturbation approach to analyze the nonlinear wave propagation characteristics of a doubly curved sandwich composite piezoelectric shell with a flexible core under hygrothermal conditions. Stress and strain computations for the flexible core and face sheets are conducted employing Reddy's third-order shear deformation theory (TSDT) and third-order polynomial theory, respectively. The investigation delves into the combined effects of a multi-layered shell, flexible core, and magneto-rheological layer (MR) in elucidating the nonlinear behavior of both in-plane and vertical moments within the core. The Halpin-Tsai model is employed to derive the properties of polymer/Carbon nanotube/fiber (PCF) and polymer/Graphene platelet/fiber (PGF) three-phase composite shells. The governing equations for the multiscale shell system are derived using Hamilton’s formulation. The study explores temperature fluctuations, diverse distribution patterns, curvature ratios, and electric fields through numerical analysis, with graphical presentation of results. Previous research has validated the accuracy of these methodologies. Notably, these factors significantly impact the frequency-amplitude curves of the smart structure.
Keywords nonlinear forced vibration behavior, multiscale composite, flexible core, magneto-rheological, piezoelectric, applied thermal loading
Received 10 May 2024Revised 15 July 2024Accepted 15 July 2024
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