Governing equations and general solutions of plane elasticity of one-dimensional quasicrystals
Governing equations and general solutions of plane elasticity of one-dimensional quasicrystals
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DOI：
10.1016/j.ijsolstr.2004.02.028
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发表时间：
2004-07
影响因子：
3.6
通讯作者：
Guanting Liu;T. Fan;Rui-ping Guo
中科院分区：
文献类型：
--
作者：
Guanting Liu;T. Fan;Rui-ping Guo
本文系统地研究了一维准晶全点群平面弹性理论。用复变函数法导出了弹性场的控制方程及其通解。作为例子，计算了正交准晶准周期轴上沿着直位错的弹性场。本文还讨论了准晶位错应力场的奇异性。
Plane elasticity theory of one-dimensional quasicrystals dealing with all point groups is investigated systematically. The governing equations of elastic fields and their general solutions are derived by the complex variable functions method. As an example, the elastic fields of a straight dislocation along the quasiperiodic axis of an orthorhombic quasicystal are calculated. The relevant singularity of the stress field for the dislocation in the quasicrystals is also discussed.