一维正方准晶的无摩擦接触问题  

Frictionless Contact Problem in One-dimensional Orthorhombic Quasicrystals

作　　者：赵雪芬[1,2] 李星[1] 

机构地区：[1]宁夏大学数学计算机学院,银川750021 [2]宁夏大学新华学院,银川750021

出　　处：《科学技术与工程》2016年第5期127-131,共5页Science Technology and Engineering

基　　金：国家自然科学基金(11362018;11261045);高等学校博士学科点专项科研基金(NO.20116401110002);宁夏高等学校科学技术研究项目(NGY2015182);宁夏大学新华学院院级科学研究基金(14XHXY02)资助

摘　　要：利用复变函数方法研究了一维正方准晶的无摩擦接触问题,得到了刚性平底压头作用下接触面上应力函数、接触应力及接触位移的显示表达式。结果表明:1接触应力在压头边缘具有-1/2阶的奇异性;2压头下方接触位移与声子场作用力成比例关系。数值算例分析并验证了结论的正确性。在一定条件下,结果可退化为一维四方和六方准晶无摩擦接触问题的解。所得结论为研究准晶材料的接触变形提供了重要的力学量。By using complex variable method, the frictionless contact problem in one-dimensional orthorhombic quasicrystals was discussed. On the contact surface, the explicit expressions of stress functions, contact stress and contact displacement were obtained under action of a rigid flat punch. The results showed that ： ①contact stress exhibits the singularities -1/2 in the edge of the contact zone, ②the contact displacement is proportion to the applied force. Numerical examples were used to analysis and verify the correctness of the results. In special cases, the conclusions can reduce to the solutions of the frictionless contact problem in one-dimensional Tetragonal and hexagonal quasicrystals. The obtainable results provide the important mechanics parameter for contact deformation of the quasicrystal.

关 键 词：一维正方准晶 无摩擦接触问题 复变函数方法 奇异性 

分 类 号：O346[理学—固体力学]