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A fractional-order thermoviscoelastic analysis of a micro-rod heated by an ultrashort laser pulse heating

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Abstract

For thermoviscoelastic behaviors limited to ultrashort laser pulse technologies, the Fourier’s heat conduction law may fail; meanwhile, new models, e.g., the fractional-order heat conduction model, have been developed to modify Fourier’s law. Furthermore, it is found that the fractional-order viscoelastic models fit well with the experimental data from relaxation tests. Meanwhile, with the miniaturization of devices, the size-dependent effect on elastic deformation is becoming increasingly important. This paper addresses the transient thermoviscoelastic response of a polymer micro-rod subjected to an ultrashort laser pulse heating including the simultaneous effects of the fractional order parameter and the nonlocal parameter for the first time. The governing equations are obtained and solved by the Laplace transform method. In calculation, the influences of the magnitude of the laser intensity, the fractional-order parameter and the nonlocal parameter on the variation of the considered variables are analyzed and discussed in detail. It is hoped that the obtained results will be helpful in designing the viscoelastic micro-structures induced by a short-pulse laser heating.

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Acknowledgements

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

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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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Correspondence to Tianhu He.

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Peng, W., Chen, L. & He, T. A fractional-order thermoviscoelastic analysis of a micro-rod heated by an ultrashort laser pulse heating. Acta Mech 233, 383–397 (2022). https://doi.org/10.1007/s00707-021-03134-x

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