Thermal stability analysis of functionally graded non-uniform asymmetric circular and annular nano discs: Size-dependent regularity and boundary conditions

Saini, R and Ahlawat, N and Rai, P and Khadimallah, MA (2022) Thermal stability analysis of functionally graded non-uniform asymmetric circular and annular nano discs: Size-dependent regularity and boundary conditions. In: European Journal of Mechanics, A/Solids, 94 .

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Abstract

In this article, the size-dependent thermal buckling analysis of nonuniform functionally graded asymmetric circular and annular nanodiscs is presented on the basis of Kirchhoff's plate theory, Eringen's nonlocal elasticity theory, and physical neutral plane. For the first time, the nonlocal regularity conditions and boundary conditions are obtained for the asymmetric discs. The thickness of the nanodiscs is assumed to be varying linearly and parabolically in the radial direction. The Power-law model is adopted to compute the temperature-independent effective mechanical properties of the functionally graded materials (FGMs). The size-dependent stability equation is obtained from Euler-Lagrange's equation which is derived from Hamilton's principle. This equation and corresponding boundary conditions are discretized by the differential quadrature method (DQM) and provide an eigenvalue problem. The numerical value of the lowest eigenvalue is reported as a critical temperature difference on the surfaces of the nanodiscs. The effects of various parameters such as nonlocal parameter, volume fraction index, nodal lines, and taper parameters for thickness variations are studied. © 2022 Elsevier Masson SAS

Item Type:	Journal Article
Publication:	European Journal of Mechanics, A/Solids
Publisher:	Elsevier Ltd
Additional Information:	The copyright for this article belongs to Elsevier Ltd
Keywords:	Beams and girders; Boundary conditions; Buckling; Differentiation (calculus); Eigenvalues and eigenfunctions; Functionally graded materials, Asymmetric disk; Functionally graded; Nanodisks; Non-local elasticity theories; Nonlocal; Nonlocal regularity and boundary condition; Radially varying thickness; Size dependent; Thermal buckling; Varying thickness, Elasticity
Department/Centre:	Division of Mechanical Sciences > Aerospace Engineering(Formerly Aeronautical Engineering)
Date Deposited:	10 May 2022 16:18
Last Modified:	10 May 2022 16:18
URI:	https://eprints.iisc.ac.in/id/eprint/71735

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