EXACT CORRESPONDENCE BETWEEN EIGENVALUES OF MEMBRANES AND FUNCTIONALLY GRADED SIMPLY SUPPORTED POLYGONAL PLATES

By Z. Cheng, Romesh C. Batra. 2000

224 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Control and Systems Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/054a3b0eea496516ffad040b00b1bc459d476286

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Analysis of thick functionally graded plates by using higher-order shear and normal deformable plate theory and MLPG method with radial basis functions (2007, methodology): “First- and third-order shear deformation theories coupled with the finite element method (FEM) have been used by several authors [12–16] to analyze deformations of FG plates.”
Discrete Layer Solution to Free Vibrations of Functionally Graded Magneto-Electro-Elastic Plates (2006, methodology): “Ferreira, A. J. M., Batra, R. C., Roque, C. M. C., Qian, L. F., Martins, P. A. L. S., “Static analysis of functionally graded plates using a third-order shear deformation theory ans a meshless method,” Composites Structures 69, 449–457 (2005).”
Free vibration response of functionally graded thick plates with shear and normal deformations effects (2013, methodology): “Cheng and Batra [12] have studied the buckling and steady-state vibrations of a simply supported FG polygonal plate resting on an elastic foundation based on Reddy’s C third order shear deformations theory (TSDT).”
An efficient shear deformation theory for vibration of functionally graded plates (2013, methodology): “Among the aforementioned HSDTs, the Reddy’s theory is the most widely used due to its high efficiency and simplicity [18–25].”
Free vibration of functionally graded sandwich plates using four-variable refined plate theory (2011, background): “Cheng and Batra [ 21 ] presented the results for the buckling and steady state vibrations of a simply supported FGM polygonal plate based on Reddy’s plate theory.”
Exact Solutions for Free Vibrations of Functionally Graded Thick Plates on Elastic Foundations (2009, background): “hk plate theories, such as the classical plate theory [4], Reissner’s plate theory [5], and Reddy’s third-order theory [6, 7], which are originally proposed for homogeneous materials.”
A critical review of recent research on functionally graded plates (2013, background): “Cheng and Batra [119] have studied the buckling and steadystate vibrations of a simply supported FG polygonal plate resting on an elastic foundation and subjected to uniform in-plane hydro-”
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, background): “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].”