Nonlocal thermoelastic analysis of a functionally graded material microbeam  

作　　者：Wei PENG Like CHEN Tianhu HE 

机构地区：[1]Key Laboratory of Disaster Prevention and Mitigation in Civil Engineering of Gansu Province,Lanzhou University of Technology,Lanzhou 730050,China [2]School of Civil Engineering and Mechanics,Lanzhou University,Lanzhou 730000,China [3]School of Science,Lanzhou University of Technology,Lanzhou 730050,China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2021年第6期855-870,共16页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Nos. 11972176 and12062011);the Incubation Programme of Excellent Doctoral Dissertation-Lanzhou University of Technology。

摘　　要：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.

关 键 词：nonlocal thermoelastic theory functionally graded material(FGM) size-dependent microbeam ramp-type heating dynamic response 

分 类 号：O343.6[理学—固体力学]