Three-dimensional thermomechanical deformations of functionally graded rectangular plates.

*(English)*Zbl 1002.74061Summary: Using an asymptotic method, we study three-dimensional thermomechanical deformations of simply supported, functionally graded rectangular plates. The locally effective material properties are estimated by Mori-Tanaka scheme. The temperature, displacements and stresses of the plate are computed for different volume fractions of ceramic and metallic constituents, and they could serve as benchmark results to assess approximate two-dimensional plate theories.

##### MSC:

74K20 | Plates |

74F05 | Thermal effects in solid mechanics |

74G10 | Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics |

##### Keywords:

thermomechanical load; asymptotic method; three-dimensional thermomechanical deformations; functionally graded rectangular plates; locally effective material properties; Mori-Tanaka scheme
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\textit{J. N. Reddy} and \textit{Z.-Q. Cheng}, Eur. J. Mech., A, Solids 20, No. 5, 841--855 (2001; Zbl 1002.74061)

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