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Hygroelasticity analysis of an elastically restrained functionally graded porous metamaterial circular plate resting on an auxetic material circular plate

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Applied Mathematics and Mechanics(English Edition) 2020年第9期41卷 1359-1380页

作者： a.behravan-rad M.JAFARI Faculty of Mechanical and Mechatronics Engineering Shahrood University of TechnologyShahrood ***Iran

The main objective of this research is to investigate the hygroelastic behavior of a non-homogeneous circular plate made up of porous metamaterial resting on an auxetic material *** mechanical properties of the main plate,as well as moisture concentration,vary as an exponential function in the transverse ***’s ratio is *** elastic supporting medium is developed by considering the structurestructure *** on the linear hygroelasticity theory,the governing state equations in terms of displacements and moisture concentration are *** first,the Fickian equation is solved to compute the nonlinear distribution of moisture through the plate thickness,and then the state equations are semi-analytically solved using the statespace(SS)method and the differential quadrature(DQ)rule to predict the elastic field quantities.A comprehensive parametric analysis is accomplished to elucidate the effects of key parameters on the steady-state response of the plate under the mechanical and hygral loads.

关键词： metamaterial hygroelasticity auxeticity hygral interaction

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Semi-Analytical Solution for Functionally Graded Solid Circular and Annular Plates Resting on Elastic Foundations Subjected to Axisymmetric Transverse Loading

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Advances in Applied Mathematics and Mechanics 2012年第2期4卷 205-222页

作者： a.behravan rad Department of Mechanical Engineering Karaj BranchIslamic Azad UniversityKarajIran

In this paper,the static analysis of functionally graded(FG)circular plates resting on linear elastic foundation with various edge conditions is carried out by using a semi-analytical *** governing differential equations are derived based on the three dimensional theory of elasticity and assuming that the mechanical properties of the material vary exponentially along the thickness direction and Poisson’s ratio remains *** solution is obtained by employing the state space method(SSM)to express exactly the plate behavior along the graded direction and the one dimensional differential quadrature method(DQM)to approximate the radial variations of the *** effects of different parameters(e.g.,material property gradient index,elastic foundation coefficients,the surfaces conditions(hard or soft surface of the plate on foundation),plate geometric parameters and edges condition)on the deformation and stress distributions of the FG circular plates are investigated.

关键词： Functionally graded circular plate elastic foundation differential quadrature method state-space method

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A THREE-DIMENSIONAL ELASTICITY SOLUTION FOR TWO-DIRECTIONAL FGM ANNULAR PLATES WITH NON-UNIFORM ELASTIC FOUNDATIONS SUBJECTED TO NORMAL AND SHEAR TRACTIONS

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Acta Mechanica Solida Sinica 2013年第6期26卷 671-690页

作者： a.behravan rad M.Shariyat Department of Mechanical Engineering Islamic Azad UniversityKaraj Branch Faculty of Mechanical Engineering K.N.Toosi University of TechnologyPardis StreetMolasadra AvenueVanak SquareTehranIran

In the present paper, bending and stress analyses of two-directional functionally graded （FG） annular plates resting on non-uniform two-parameter Winkler-Pasternak founda- tions and subjected to normal and in-plane-shear tractions is investigated using the exact three- dimensional theory of elasticity. Neither the in-plane shear loading nor the influence of the two- directional material heterogeneity has been investigated by the researchers before. The solution is obtained by employing the state space and differential quadrature methods. The material proper- ties are assumed to vary in both transverse and radial directions. Three different types of variations of the stiffness of the foundation are considered in the radial direction： linear, parabolic, and sinu- soidal. The convergence analysis and the comparative studies demonstrate the high accuracy and high convergence rate of the present approach. A parametric study consisting of evaluating effects of different parameters （e.g., exponents of the material properties laws, the thickness to radius ratio, trends of variations of the foundation stiffness, and different edge conditions） is carried out. The results are reported for the first time and are discussed in detail.

关键词： three-dimensional theory of elasticity two-directionM functionally graded materi- als annular and circular plates elastic foundation differential quadrature in-plane shear

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