Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2025-6pp.5041-5055

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Total articles in the database: 13427
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Zhaopeng Wang, Yanlong Hao, Yu Mao, Shuangquan He, Tianhu He, and Wei Peng, "Nonlocal Dual-Phase-Lag Thermodynamic Analysis of a Functionally Graded Spherical Microshell Induced by a Thermal-Mechanical Loading," Mech. Solids. 60 (6), 5041-5055 (2025)
Year 2025 Volume 60 Number 6 Pages 5041-5055
DOI 10.1134/S0025654425602320
Title Nonlocal Dual-Phase-Lag Thermodynamic Analysis of a Functionally Graded Spherical Microshell Induced by a Thermal-Mechanical Loading
Author(s) Zhaopeng Wang (Liaoning Transportation Research Institute Co., Ltd, Shenyang, 110017 China, a22703947@163.com)
Yanlong Hao (School of Architecture and Civil Engineering, Heilongjiang University of Science and Technology, Harbin, 150022 China, 18834141764@163.com)
Yu Mao (Gansu Transportation Science Research Institute Group Co., Ltd, Lanzhou, 745399 China, myjkjt@126.com)
Shuangquan He (State Key Laboratory for Strength and Vibration of Mechanical Structures, Xi’an Jiaotong University, Xi’an, 710049 China, hesqmechanics@163.com)
Tianhu He (School of Science, Lanzhou University of Technology, Lanzhou, 730050 China, heth@lut.edu.cn)
Wei Peng (School of Architecture and Civil Engineering, Heilongjiang University of Science and Technology, Harbin, 150022 China, pengweiusth@163.com)
Abstract Functionally gradient materials have attracted extensive attention and research due to their remarkable resistance to thermal shock under harsh thermal conditions. In addition, the analytical model of thermoelasticity encounters pronounced limitations when applied to micro-structures. This deficiency can be ascribed to its failure to incorporate the ramifications of the spatially size-dependent effects that are intrinsically linked to heat transfer and elastic deformation. To accurately model the thermo-mechanical coupling at nanoscale, a nonlocal dual-phase-lag thermoelasticity with nonlocal elasticity effect is given in this work. In the aspect of application, the thermo-mechanical behavior of a functionally graded spherical microshell heated by a thermal-mechanical loading is studied. Governing equations including the nonlocal thermal parameter, the nonlocal elasticity parameter, the power law index are derived solved by Laplace transformation. It is shown by the achieved results that the thermal deformation under ultrafast heating condition will be reduced when the influences of nonlocal effect and ceramic composition are considered.
Keywords Functionally graded materials, thermodynamic response, nonlocal dual-phase-lag heat conduction, nonlocal elasticity, Laplace transformation
Received 08 May 2025Revised 18 August 2025Accepted 19 August 2025
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