应用数学和力学2023，Vol.44Issue(11)：1311-1324,14.DOI:10.21656/1000-0887.440151
表面效应对热电材料中纳米孔周围热应力的影响
Surface Effects on Thermal Stresses Around the Nanohole in Thermoelectric Material
摘要
Abstract
Based on the complete Gurtin-Murdoch(G-M)low-order surface energy model,the surface effects at nanoscale were further explored.The transition from macroscale to microscale was achieved through con-struction of reasonable stress boundary conditions in view of the change of hole geometry configuration.With the series expansion techniques and complex variable methods,the semi-analytic solutions for the electric field,the temperature field,and the full stress field in the vicinity of the nanohole within the thermoelectric matrix were derived eventually with a built thermal-electrical-force theoretical framework model at nanoscale.Numeri-cal results show that,compared with the complete G-M model,the simplified G-M model(neglecting the effects of nanohole geometry changes)would overestimate the surface effects and far-field thermoelectric load-ing effects on the thermal stress distributions.In addition,the surface effects can relieve the thermal stress con-centration around the nanohole to some extent.关键词
热电材料/完整Gurtin-Murdoch模型/表面效应/复变函数理论/纳米孔Key words
thermoelectric material/complete Gurtin-Murdoch model/surface effect/complex function theo-ry/nanohole分类
通用工业技术引用本文复制引用
赵婕燕,杨海兵..表面效应对热电材料中纳米孔周围热应力的影响[J].应用数学和力学,2023,44(11):1311-1324,14.基金项目
国家自然科学基金项目(11902116) （11902116）
广东省自然科学基金项目(2022A1515011773) （2022A1515011773）
