General expressions for the elastic displacement fields induced by dislocations in quasicrystals
General expressions for the elastic displacement fields induced by dislocations in quasicrystals
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DOI：
10.1088/0953-8984/7/28/003
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发表时间：
1995-07
期刊：
影响因子：
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通讯作者：
D. Ding;Renhui Wang;Wenge Yang;Cheng-zheng Hu
中科院分区：
文献类型：
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作者：
D. Ding;Renhui Wang;Wenge Yang;Cheng-zheng Hu
本文用傅里叶变换和本征应变方法求解了准晶中声子和相子位移场u和w所满足的偏微分方程组，给出了准晶中位错引起的弹性位移场的绿色函数的一般表达式。详细讨论了各种准晶的弹性绿色张量函数。最后，作为一个例子，计算了十次对称准晶（三维）中沿周期十次轴沿着的位错直线所引起的位移场。
The set of partial differential equations satisfied by the phonon and phason displacement fields u and w in quasicrystals has been solved by means of Fourier transform and eigenstrain methods, and general expressions of the elastic displacement fields induced by dislocations in quasicrystals have been given in terms of the Green function. The elastic Green tensor functions for every kind of quasicrystal are discussed in detail. Finally, as an example, the displacement fields induced by a straight dislocation line along the periodic tenfold axis of decagonal quasicrystals (three-dimensional) are calculated.