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二维半圆孔附近的动态热应力分布
引用本文:刘杰,盖秉政.二维半圆孔附近的动态热应力分布[J].力学学报,2002,34(3):453-457.
作者姓名:刘杰  盖秉政
作者单位:哈尔滨工业大学,哈尔滨,150001
摘    要:在稳态温度场中,由于弹性平面内半圆孔或半圆坑等缺陷在介质裂纹扩展和疲劳损伤机理中所起的作用,因此深入了解半圆孔或半圆坑的表面动态热应力分布显得很有必要.分析在半无限弹性平面内一半圆孔附近施加稳态调谐温度场条件下的半圆孔孔边动态热应力分布问题,利用共形映照等复变函数的方法,给出了汉克函数表示的此问题的解析解,并给出了相应动态热应力分布系数的数值结果.

关 键 词:半圆孔  动态热应力分布  复变函数法  稳态温度场  动态热应力分布系数
修稿时间:2000年9月10日

DYNAMIC THERMAL STRESS DISTRIBUTION IN THE VICINITY OF A TWO-DIMENSIONAL SEMICIRCULAR CAVITY
Liu Jie Gai Bingzheng.DYNAMIC THERMAL STRESS DISTRIBUTION IN THE VICINITY OF A TWO-DIMENSIONAL SEMICIRCULAR CAVITY[J].chinese journal of theoretical and applied mechanics,2002,34(3):453-457.
Authors:Liu Jie Gai Bingzheng
Institution:Liu Jie Gai BingzhengDepartment of Astronautics and Mechanics,P. O. Box 344,Harbin Institute of Technology,Harbin 150001,China
Abstract:In a steady temperature field, because of the effect of a semicircular cavity or ahemispherical cavity on the crack propagation and fatigue damage in medium, it is necessaryto study the dynamic thermal stress distribution in the vicinity of a semicircular cavity or ahemispherical hole. In this paper, a problem of dynamic stress distribution of a semi-circularcavity at the surface of a semi-infinite elastic plane is investigated, while a steady temperaturefield is applied at the surface of the semicircular cavity. A general analytic solution represented inthe Hankel function for this problem is obtained using complex function methods such as conformalmapping. Some numerical results for this problem are given.
Keywords:a semicircular cavity dynamic thermal stress distribution  complex function method  steady temperature field  dynamic thermal stress distribution's coefficient
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