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

被引:21
作者
Behravan-Rad, A. [1 ]
Jafari, M. [1 ]
机构
[1] Shahrood Univ Technol, Fac Mech & Mechatron Engn, Shahrood 3619995161, Iran
关键词
metamaterial; hygroelasticity; auxeticity; hygral; interaction; O343; THERMAL-STRESS ANALYSIS; VIBRATION ANALYSIS; BUCKLING ANALYSIS; FORCED VIBRATION; FGM PLATES; THICKNESS; SHELLS; HOLE;
D O I
10.1007/s10483-020-2651-7
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
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 plate. The mechanical properties of the main plate, as well as moisture concentration, vary as an exponential function in the transverse direction. Poisson's ratio is constant. The elastic supporting medium is developed by considering the structure-structure coupling. Based on the linear hygroelasticity theory, the governing state equations in terms of displacements and moisture concentration are acquired. At 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 state-space (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.
引用
收藏
页码:1359 / 1380
页数:22
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