FUNCTIONALLY GRADED PLATES BEHAVE LIKE HOMOGENEOUS PLATES

By Serge Abrate. 2008

268 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/0f8136645fdd7b8b773b36ba311b82f9c9692a2b

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In Civil and Structural Engineering

In Control and Systems Engineering

In Mechanics of Materials

Citations in the corpus

Three-dimensional elasticity solution for bending of transversely isotropic functionally graded plates (2011, unknown): “This solution was validated through comparison with results for isotropic homogeneous plate and has become a benchmark solution used by other researchers (Abrate, 2008; Zhong and Shang, 2008; Brischetto, 2009; Yunet et al., 2010).”
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].”
Stability analysis of functionally graded rectangular plates under nonlinearly varying in-plane loading resting on elastic foundation (2011, background): “Morimoto et al. [25], Abrate [ 26 ], Zhang and Zhou [27], Prakash et al. [28] and Saidi and Jomehzadeh [29] showed that there is no stretching–bending coupling in constitutive equations if the reference surface is properly selected.”
Buckling analysis of rectangular functionally graded plates under various edge conditions using Fourier series expansion (2013, background): “Matrices [A] and [D] represent in-plane and bending couplings, respectively and are defined in terms of the reduced stiffness matrix Q as follows (Abrate, 2008):”
Free Vibration Behavior of Exponential Functionally Graded Beams with Varying Cross-section (2011, background): “These results confirm those obtained by Abrate (2006, 2008) in the case of FGM structures with uniform section and in which material properties vary along the beam thickness only according to power law distributions.”
Nonlinear bending analysis of FGM beams based on physical neutral surface and high order shear deformation theory (2013, methodology): “As pointed out by Abrate [31], the stretching–bending coupling can easily be eliminated in the governing equations based on the classical theory and/or the first order shear deformation theory by an appropriate choice of the reference surface, but it is difficult to achieve based on a high order she”
A critical review of recent research on functionally graded plates (2013, background): “Abrate [90,91] studied the problems of static deflections, free”
Bending and free vibration analysis of functionally graded plates using a simple shear deformation theory and the concept the neutral surface position (2015, background): “Morimoto et al. [17], Abrate [18], Zhang and Zhou [19], Ould Larbi et al. [20], Bousahla et al. [21], Khalfi et al. [22], Fekrar et al. [23], Al-Basyouni et al. [24] and Bourada et al. [25] showed that there is no stretching–bending coupling in constitutive equations if the reference surface is prop”