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| 含直对称裂纹的一维六方压电准晶对SH波的散射 Scattering of SH wave by a linear symmetric crack at one-dimensional piezoelectric hexagonal quasicrystals |
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| 引用本文： | 赵雪芬,李星.含直对称裂纹的一维六方压电准晶对SH波的散射 Scattering of SH wave by a linear symmetric crack at one-dimensional piezoelectric hexagonal quasicrystals[J].计算力学学报,2016,33(3):369-376. |
| 作者姓名： | 赵雪芬 李星 |
| 作者单位： | 1. 宁夏大学数学计算机学院，银川750021; 宁夏大学新华学院，银川750021;2. 宁夏大学数学计算机学院,银川,750021 |
| 基金项目： | 国家自然科学基金(11362018);国家自然科学基金(11261041)资助项目. |
| 摘 要： | 利用积分变换技术，结合Copson方法，研究了含直线型对称裂纹的一维六方压电准晶对SH波的散射问题。通过求解对偶积分方程，得到声子场、相位子场应力、位移及电场电位移分量的解析解。定义了裂纹尖端应力强度因子及电位移强度因子，给出了电非渗透性条件下应力强度因子及电位移强度因子的解析解。此研究结果对压电准晶材料的工程应用有一定的理论价值。 |
| 关 键 词： | SH波散射 一维六方压电准晶 直对称裂纹 对偶积分方程 应力强度因子 |
| 收稿时间： | 2014/10/6 0:00:00 |
| 修稿时间： | 2014/12/8 0:00:00 |
Scattering of SH wave by a linear symmetric crack at one-dimensional piezoelectric hexagonal quasicrystals |
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| ZHAO Xue-fen and LI Xing.Scattering of SH wave by a linear symmetric crack at one-dimensional piezoelectric hexagonal quasicrystals[J].Chinese Journal of Computational Mechanics,2016,33(3):369-376. | |
| Authors: | ZHAO Xue-fen and LI Xing |
| Institution: | School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China;Xinhua School, Ningxia University, Yinchuan 750021, China;School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China |
| Abstract: | By using the intergral transform technique and combining with Copson methods,the scattering of SH wave in one-dimensional hexagonal piezoelectric quasicrystal with a crack is discussed.Through dual integral equations are sloved,the analytical expression of phonon field stresses,phason field stresses,phonon field displacements,phason field displacements and electric displacements are obtained.Stress intensity factor at crack tip and electric displacement intensity in electic field are defined.In the electric impermeable condition,the analytical expression of stress intensity factor at crack tip and electric displacement intensity in electic field are obtained.The study has certain theoretical value in the engineering application of piezoelectric quasicrystal materials. |
| Keywords: | scattering of SH wave one-dimensional hexagonal piezoelectric quasicrystal a linear symmetric crack dual integral equation stress intensity factors |
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