MECHANICAL BEHAVIOR OF FUNCTIONALLY GRADED MATERIAL PLATES UNDER TRANSVERSE LOAD-PART I: ANALYSIS

By Shyang-Ho Chi, Y. Chung. 2006

570 citations recorded by the source corpus.

Abstract An elastic, rectangular, and simply supported, functionally graded material (FGM) plate of medium thickness subjected to transverse loading has been investigated. The Poisson’s ratios of the FGM plates are assumed to be constant, but their Young’s moduli vary continuously throughout the thickness direction according to the volume fraction of constituents defined by power-law, sigmoid, or exponential function. Based on the classical plate theory and Fourier series expansion, the series solutions of power-law FGM (simply called P-FGM), sigmoid FGM (S-FGM), and exponential FGM (E-FGM) plates are obtained. The analytical solutions of P-, S- and E-FGM plates are proved by the numerical results of finite element method. The closed-form solutions illustrated by Fourier series expression are given in Part I of this paper. The closed-form and finite element solutions are compared and discussed in Part II of this paper. Results reveal that the formulations of the solutions of FGM plates and homogeneous plates are similar, except the bending stiffness of plates. The bending stiffness of a homogeneous plate is Eh 3 /12(1 − ν 2 ), while the expressions of the bending stiffness of FGM plates are more complicated combination of material properties.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/4039a874433d3e76e6169ebb81f525e19f330ed8

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Bending analysis of thick exponentially graded plates using a new trigonometric higher order shear deformation theory (2012, background): “Chi and Chung [18,19] studied the mechanical behavior of FGM plates under transverse load.”
Levy Solution for Buckling Analysis of Functionally Graded Rectangular Plates (2010, background): “Chi and Chung [ 7 ] investigated an elastic rectangular functionally graded material plate of medium thickness subjected to transverse loading.”
Static, free vibration and buckling analysis of isotropic and sandwich functionally graded plates using a quasi-3D higher-order shear deformation theory and a meshless technique (2013, unknown): “Studies on the mechanical behaviour of FGM plates include the static analysis of FGM plates performed by Kashtalyan [15], Kashtalyan and Menshykova [16], Qian et al. [17], Zenkour [18,19], Ramirez et al. [20], Ferreira et al. [21,22], Chi and Chung [23,24], and Cheng and Batra [25].”
Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position (2015, background): “[8], Chung and Chen [9], Chi and Chung [10], Ferreira et al.”
Stress, vibration and buckling analyses of FGM plates—A state-of-the-art review (2015, methodology): “Chi and Chung [43,44] presented a closed-form solution for Power law FGM (P-FGM), Sigmoid FGM (S-FGM) and Exponential FGM (E-FGM) plates based on the CPT.”