Large deformation analysis of functionally graded shells

By R. Arciniega, J. Reddy. 2007

218 citations recorded by the source corpus.

A geometrically nonlinear analysis of functionally graded shells is presented. The two-constituent functionally graded shell consists of ceramic and metal that are graded through the thickness, from one surface of the shell to the other. A tensor-based finite element formulation with curvilinear coordinates and first-order shear deformation theory are used to develop the functionally graded shell finite element. The first-order shell theory consists of seven parameters and exact nonlinear deformations and under the framework of the Lagrangian description. High-order Lagrangian interpolation functions are used to approximate the field variables to avoid membrane, shear, and thickness locking. Numerical results obtained using the present shell element for typical benchmark problem geometries with functionally graded material compositions are presented.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/a62efcfa87ad7d524dfbc7f48808fb24bfd56fd1

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

Bending analysis of FG viscoelastic sandwich beams with elastic cores resting on Pasternak’s elastic foundations (2010, background): “The mechanical properties of FGMs are often being represented in the exponentially graded form [14–16] and power-law variations one [17–26].”
Four-parameter functionally graded cracked plates of arbitrary shape: A GDQFEM solution for free vibrations (2016, background): “Furthermore, static, dynamic, and stability behaviors of FGM plates were fully studied by Abrate [13], and other researchers focused on large deformations and buckling of the same structural component in [14].”
Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution (2009, methodology): “In the last years, some researchers have analyzed various characteristics of functionally graded structures [16–30].”
FREE VIBRATIONS OF FOUR-PARAMETER FUNCTIONALLY GRADED PARABOLIC PANELS AND SHELLS OF REVOLUTION (2009, background): “…(Ng et al., 2000; Yang et al., 2003; Della Croce and Venini, 2004; Liew et al., 2004; Wu and Tsai, 2004; Elishakoff et al., 2005; Patel et al., 2005; Abrate, 2006; Pelletier and Vel, 2006; Zenkour, 2006; Arciniega and Reddy, 2007; Nie and Zhong, 2007; Roque et al., 2007; Yang and Shen, 2007).”
Free vibration analysis of functionally graded panels and shells of revolution (2009, background): “In the last years, some researchers have analyzed various characteristics of functionally graded structures (Abrate [6], Arciniega and Reddy [ 7 ], Elishakoff et al. [8, 9],”