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International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.2019029156
pages 45-63

ASYMMETRIC NONLINEAR BENDING ANALYSIS OF POLYMERIC COMPOSITE ANNULAR PLATES REINFORCED WITH GRAPHENE NANOPLATELETS

R. Gholami
Department of Mechanical Engineering, Lahijan Branch, Islamic Azad University, P.O. Box 1616, Lahijan, Iran
Reza Ansari
Department of Mechanical Engineering, University of Guilan, P.O. Box 3756, Rasht, Iran

ABSTRACT

This article reports the geometrically nonlinear bending response of polymeric composite annular plates reinforced with graphene platelets (GPLs) under transverse uniform and biharmonic loadings. The considered plates are embedded on a Winkler-Pasternak elastic foundation. By considering a random orientation and a uniform dispersion for the GPL nanofillers, four types of distribution patterns are assumed for the GPLs along the thickness of the plate. The modified Halpin-Tsai (MHT) technique and the rule of mixture are adopted to obtain the effective material properties of GPL-reinforced polymeric nanocomposites (GPL-RPNCs). The discretized governing equations including the geometric nonlinearity are expressed in their weak form using the principle of virtual work, variational differential quadrature (VDQ) method, and Reddy's plate theory. For the demonstration of the symmetric and asymmetric bending behaviors of GPL-RPNC annular plates and influence of different parameters, the pseudo-arc length algorithm is coupled with the modified Newton-Raphson approach to plot the maximum deflection of considered plate versus the amplitude of applied loading.


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