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Size-dependent thermoelasticity of a finite bi-layered nanoscale plate based on nonlocal dual-phase-lag heat conduction and Eringen’s nonlocal elasticity

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Abstract

The size effects on heat conduction and elastic deformation are becoming significant along with the miniaturization of the device and wide application of ultrafast lasers. In this work, to better describe the transient responses of nanostructures, a size-dependent thermoelastic model is established based on nonlocal dual-phase-lag (N-DPL) heat conduction and Eringen’s nonlocal elasticity, which is applied to the one-dimensional analysis of a finite bi-layered nanoscale plate under a sudden thermal shock. In the numerical part, a semi-analytical solution is obtained by using the Laplace transform method, upon which the effects of size-dependent characteristic lengths and material properties of each layer on the transient responses are discussed systematically. The results show that the introduction of the elastic nonlocal parameter of Medium 1 reduces the displacement and compressive stress, while the thermal nonlocal parameter of Medium 1 increases the deformation and compressive stress. These findings may be beneficial to the design of nano-sized and multi-layered devices.

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Authors and Affiliations

  1. College of Pipeline and Civil Engineering, China University of Petroleum (East China), 266580, Qingdao, Shandong Province, China

    Zhangna Xue, Gongqi Cao & Jianlin Liu

Authors
  1. Zhangna Xue
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  2. Gongqi Cao
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  3. Jianlin Liu
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Corresponding author

Correspondence to Jianlin Liu.

Additional information

Project supported by the National Natural Science Foundation of China (Nos. 12002391 and 11972375), the China Postdoctoral Science Foundation Funded Project (No. 2019TQ0355), the Strategic Priority Research Program of the Chinese Academy of Sciences (No. XDA14010303), and the Open Projects of State Key Laboratory for Strength and Vibration of Mechanical Structures (No. SV2020-KF-12)

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Xue, Z., Cao, G. & Liu, J. Size-dependent thermoelasticity of a finite bi-layered nanoscale plate based on nonlocal dual-phase-lag heat conduction and Eringen’s nonlocal elasticity. Appl. Math. Mech.-Engl. Ed. 42, 1–16 (2021). https://doi.org/10.1007/s10483-021-2692-5

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  • DOI: https://doi.org/10.1007/s10483-021-2692-5

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