均匀热流作用下考虑表面效应的非圆形纳米孔的级数解OA

The 2D plane problem of non-circular nanoholes under uniform far-field heat flow was investigated.To examine the effects of surface phonon scattering on heat conduction at the microscale,a weakly thermal conductivity model considering temperature jump was introduced,and the complete Gurtin-Murdoch lower-or-der surface energy model was employed to characterize the surface effects.Based on the theory of complex functions and series expansion,the series solutions for the temperature field and the thermal stress field were obtained corresponding to different hole shapes defined with the conformal mapping techniques.Several numer-ical examples of non-circular nanoholes were presented to analyze the surface effects on thermal stress fields.The results indicate that,surface effects significantly increase the thermal stresses around the nanohole,and the combined action of surface elasticity and surface tension plays a key role in determining the magnitude of the thermal stress.