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Nonlocal thermoelastic analysis of a functionally graded material microbeam

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Abstract

In extreme heat transfer environments, functionally graded materials (FGMs) have aroused great concern due to the excellent thermal shock resistance. With the development of micro-scale devices, the size-dependent effect has become an important issue. However, the classical continuum mechanical model fails on the micro-scale due to the influence of the size-dependent effect. Meanwhile, for thermoelastic behaviors limited to small-scale problems, Fourier’s heat conduction law cannot explain the thermal wave effect. In order to capture the size-dependent effect and the thermal wave effect, the nonlocal generalized thermoelastic theory for the formulation of an FGM microbeam is adopted in the present work. For numerical validation, the transient responses for a simply supported FGM microbeam heated by the ramp-type heating are considered. The governing equations are formulated and solved by employing the Laplace transform techniques. In the numerical results, the effects of the ramp-heating time parameter, the nonlocal parameter, and the power-law index on the considered physical quantities are presented and discussed in detail.

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Authors and Affiliations

  1. Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province, Lanzhou University of Technology, Lanzhou, 730050, China

    Wei Peng & Tianhu He

  2. School of Civil Engineering and Mechanics, Lanzhou University, Lanzhou, 730000, China

    Like Chen

  3. School of Science, Lanzhou University of Technology, Lanzhou, 730050, China

    Tianhu He

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  1. Wei Peng
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Correspondence to Tianhu He.

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Project supported by the National Natural Science Foundation of China (Nos. 11972176 and 12062011) and the Incubation Programme of Excellent Doctoral Dissertation-Lanzhou University of Technology

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Peng, W., Chen, L. & He, T. Nonlocal thermoelastic analysis of a functionally graded material microbeam. Appl. Math. Mech.-Engl. Ed. 42, 855–870 (2021). https://doi.org/10.1007/s10483-021-2742-9

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