[1]马小丹.1维6方准晶有限摩擦的周期接触问题[J].江西师范大学学报(自然科学版),2016,40(05):505-510.
　MA Xiaodan.The Periodic Frictionally Contact Problems in One Dimensional Hexagonal Quasicrystals[J].Journal of Jiangxi Normal University:Natural Science Edition,2016,40(05):505-510.
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1维6方准晶有限摩擦的周期接触问题()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
40
期数:
2016年05期
页码:
505-510
栏目:
出版日期:
2016-10-01

文章信息/Info

Title:
The Periodic Frictionally Contact Problems in One Dimensional Hexagonal Quasicrystals
作者:
马小丹
宁夏大学数学计算机学院,宁夏 银川 750021
Author(s):
MA Xiaodan
College of Mathematics and Computer Science,Ningxia University,Yinchuan Ningxia 750021,China
关键词:
1维6方准晶;  周期接触问题;  Hilbert核积分公式
Keywords:
one-dimensional hexagonal quasicrystals;  periodic contact problems;  Hilbert kernel integral formula
分类号:
O 343
摘要:
利用复变函数方法研究了1维6方准晶具有有限摩擦的周期接触问题.利用Hilbert核积分公式,通过周期Riemann-Hilbert边值问题的求解,得到了其封闭形式的解,并给出了周期直水平基底压头、周期直倾斜基底压头、周期圆基底压头作用下接触应力的显式表达式.研究结果表明:接触应力在压头的任一端点处,具有可积奇异性; 当忽略相位子场的贡献时,与正交各向异性材料周期接触问题的相应结果一致.
Abstract:
By using the complex variable method,the frictionally periodic contact problems in one-dimensional hexagonal quasicrystals were discussed.Based on the Hilbert kernel integral formula and through periodic Riemann-Hilbert boundary value problem is solved,the closed form solutions was obtained.Further,the explicit solutions of contact stress were given under the action of periodic straight horizontal basal punch,periodic straight inclined basal punch,periodic circular basal punch.The results have showed that the contact stress in punches at arbitrary end had integrable singularity.If the effect phason field is neglected,the obtained results match with the corresponding results of periodic contact problem in orthogonal anisotropic materials.

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备注/Memo

备注/Memo:
收稿日期:2016-03-27基金项目:国家自然科学基金(11362018),高等学校博士学科点专项科研基金(20116401110002)和宁夏大学研究生创新计划(GIP201622)资助项目.作者简介:马小丹(1992-),女,宁夏中宁人,硕士研究生,主要从事复分析在力学中的应用研究.
更新日期/Last Update: 1900-01-01