Three-dimensional analysis of transient thermal stresses in functionally graded plates

By S. Vel, Romesh C. Batra. 2003

317 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/f426c7ec1e632c6e943612952a08431ffde6ca82

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In Civil and Structural Engineering

In Mechanics of Materials

Citations in the corpus

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).”
Study on the free vibration of thick functionally graded rectangular plates according to a new exact closed-form procedure (2011, methodology): “Using a semi-analytical approach, the exact 3-D solution for the thermo-elastic deformation of functionally graded simply-supported plates was considered by Vel and Batra [28,29].”
Static and dynamic deformations of thick functionally graded elastic plates by using higher-order shear and normal deformable plate theory and meshless local Petrov -Galerkin method (2004, methodology): “For example, a three-dimensional analytic solution by Vel and Batra [13,14] of thermoelastic deformations of an Al/SiC plate gave noticeable changes in the plate thickness.”
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].”
Three-Dimensional transient heat conduction in a functionally graded thick plate with a higher-order plate theory and a meshless local Petrov-Galerkin method (2005, methodology): “3a, b Comparison of the computed solution with the analytical solution [32] for the case of the heat flux prescribed on the top surface; a through-the-thickness variation of the temperature at times t 1⁄4 1:3012; 13:0122 and 130:1218s, b time history of the temperature at the plate centroid for c 1⁄”
Higher-order shear and normal deformable theory for functionally graded incompressible linear elastic plates (2007, unknown): “Vel and Batra [15–17] and Lee and Yu [12] have employed expansions (31) and the assumptions of Caijkl and r a being independent of x1 and x2 to solve problems for plates made of functionally graded materials with material properties varying only in the z-direction.”
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, background): “[23] Z. Q. Cheng and R. C. Batra, Exact correspondence between eigenvalues of membranes and functionally graded simply supported polygonal plates, J. Sound Vib.”