| 一维准晶体Ⅲ型切口的应力与位移 |
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| 引用本文： | 巫建清,施伟辰.一维准晶体Ⅲ型切口的应力与位移[J].上海海事大学学报,2011,32(4):85-92. |
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| 作者姓名： | 巫建清 施伟辰 |
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| 作者单位： | 上海海事大学物流工程学院,1 |
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| 基金项目： | 上海市教育发展基金(07ZZ98) |
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| 摘 要： | 为研究一维准晶的V型切口裂纹问题,采用解析函数方法将一维准晶的基本方程转化为极坐标形式；由切口面边界条件得出III型切口问题的本征方程,求出声子场和相位子场的应力和位移渐进解；引入应力强度因子,计算切口尖端处的J积分.计算结果表明,声子场和相位子场通过本构方程耦合,切口尖端处声子场和相位子场位移也具有耦合性；Laue类...
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| 关 键 词： | 一维准晶 声子场 相位子场 本征方程 应力强度因子 |
| 收稿时间： | 2011/6/28 0:00:00 |
| 修稿时间： | 2011/9/14 0:00:00 |
Stress and displacement of III-notch problem in one dimensional quasi-crystal |
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| Institution: | School of Logistics Engineering Shanghai Maritime University,1 |
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| Abstract: | In order to solve the problem of V notch crack in one dimensional quasi crystal, the basic functions of one dimensional quasi crystal are transformed into polar form with the method of analytic function; the eigenvalue equation of the III notch problem is concluded from the boundary condition of the crack face, and the asymptotic solutions of stress and displacement in both phonon field and phason field are found; the J integral at the notch tip is given by introducing the stress intensity factor. The results show that the phonon field couples with the phason field by the constitutive equations, and the stress and displacement in the phason field also couples with those in the phonon field; the displacement distribution of Laue class 5,7,9 is different from that of Laue class 8 and other general materials, while the J integral is still of the same form; the J integral gives the energy release rate when the notch changes into crack. |
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| Keywords: | one-dimensional quasi-crystal phonon field phason field eigenvalue equation stress intensity factor |
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