Closed-Form Solution for a Circular Nanohole with Surface Effects Under Uniform Heat Flux  

作　　者：Jieyao Tang Jieyan Zhao Haibing Yang Cunfa Gao 

机构地区：[1]State Key Laboratory of Mechanics and Control for Aerospace Structures,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China [2]School of Civil Engineering and Transportation,South China University of Technology,Guangzhou 510641,China [3]College of Mechanics and Materials,Hohai University,Nanjing 211100,China

出　　处：《Acta Mechanica Solida Sinica》2024年第1期43-52,共10页固体力学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11902116);the Natural Science Foundation of Guangdong Province(Grant No.2022A1515011773);the Natural Science Foundation of Guangzhou City(Grant No.202201010317).

摘　　要：This paper investigates the steady-state thermoelastic problem of a circular nanohole embedded in an infinitely large elastic plane subjected to a uniform far-field heat flux.A lowly conductive surface model is used to account for the effects of surface phonon scattering,while the complete Gurtin–Murdoch model is utilized to characterize the effects of surface tension and surface elasticity.The closed-form solution to the temperature and stress field surrounding the hole is derived in the context of complex variable methods.Several numerical examples are presented to analyze the influence of surface effects on thermal stress fields.It is shown that surface effects induce notable increases in normal and shear stresses around the hole.Specifically,all three stress components(hoop,normal,and shear)in the vicinity of the hole exhibit substantial augmentation with increasing surface tension and surface modulus.In particular,it is found that the presence of surface effects amplifies the variation in stress gradients and intensifies stress concentration around the hole.

关 键 词：Circular nanohole Surface effect Thermal stress Heat flux 

分 类 号：O34[理学—固体力学]