Mechanical behavior of functionally graded material plates under transverse load—Part II: Numerical results

By Shyang-Ho Chi, Y. Chung. 2006

244 citations recorded by the source corpus.

Abstract The formulations of the complete solutions to the rectangular simply supported plates with power-law, sigmoid, and exponential FGMs have been derived in Part I. In this part, we focus on the numerical solutions evaluated directly from theoretical formulations and calculated by finite element method using MARC program. The effects of loading conditions, the change of Poisson’s ratio, and the aspect ratio on the mechanical behavior of an FGM plate are discussed. Besides, a comparison of the results of P-FGM, S-FGM, and E-FGM is investigated.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/44b25d755f0ba6ce7e662cb96b35afeba1c2dd23

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

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.”
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].”
A NOVEL APPROACH FOR IN-PLANE/OUT-OF-PLANE FREQUENCY ANALYSIS OF FUNCTIONALLY GRADED CIRCULAR/ANNULAR PLATES (2010, methodology): “Chi and Chung [9] showed that Poisson’s ratio affects on the mechanical behavior of the FG plates slightly, therefore it can be assumed to be constant.”
Effects of thickness stretching in functionally graded plates and shells (2011, methodology): “The free vibration problem of FGM plates has been presented in the case of magneto–electroelastic fields in [18].”
Three-dimensional elasticity solution of functionally graded rectangular plates with variable thickness (2009, methodology): “It should be mentioned that the classical thin plate theory [3–5] holds the Kirchhoff hypothesis that neglects shear deformation in the plate, which is increasingly significant when the plate becomes thicker.”
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].”
Buckling analysis of sandwich plates with functionally graded skins using a new quasi‐3D hyperbolic sine shear deformation theory and collocation with radial basis functions (2012, methodology): “Table 3 refers to the uni-axial buckling load and Table 4 refers to the bi-axial buckling load. present zz = 0 12.95304 12.95304 12.95304 12.95304 12.95304 12.95304 present zz = 0 13.00532 13.00532 13.00532 13.00532 13.00532 13.00532 0.5 CLPT 7.65398 8.25597 8.56223 8.78063 9.18254 9.61525 FSDT 7.33”