一类相同材料焊接问题的稳定性  

Stability of a Kind of Welding Problem under the Same Material

作　　者：林娟[1] 

机构地区：[1]福建商业高等专科学校基础部,福建福州350007

出　　处：《福建商业高等专科学校学报》2012年第5期105-108,共4页Journal of Fujian Commercial College

基　　金：福建省教育厅科研资助项目(JA11341)

摘　　要：文章讨论了相同材料带一个孔洞无限平面焊接问题的稳定性,通过引进两个全纯函数,把焊接问题转化为黎曼边值问题中的跳跃问题,从而得到应力函数的表达式,借助柯西型积分关于积分曲线和核密度的稳定性来研究其稳定性,并给出误差估计。This paper discusses the stability of welding problem of an infinite plane with a hole and a plate which is wel- ded together under the same material. By introducing two holomorphic functions, the welding problem can be changed to jumping problem of Riemann boundary value problem, then fine the expressions of tress functions are given. By using the stability of Cauchy type integral with integral curve and the stability of kernel density, the stability of stress functions are studied and the theirs error estimates are obtained.

关 键 词：弹性体 应力函数 柯西型积分 跳跃问题 摄动 

分 类 号：O175.8[理学—数学]