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SH波对一维六方准晶中直裂纹的散射
引用本文:赵雪芬,李星.SH波对一维六方准晶中直裂纹的散射[J].计算力学学报,2015,32(5):693-698.
作者姓名:赵雪芬  李星
作者单位: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;宁夏大学 数学计算机学院, 银川 750021;宁夏师范学院, 固原 756000
基金项目:国家自然科学基金(11362018);高等学校博士学科点专项科研基金(20116401110002)资助项目.
摘    要:分析了SH波对一维六方准晶中直裂纹的散射问题。利用积分变换技术,结合Copson方法,通过求解对偶积分方程,得到声子场和相位子场应力、位移及裂纹尖端动应力强度因子的解析表达式。通过数值算例讨论了裂纹长度、入射角和入射波频率对标准动应力强度因子的影响,此研究在工程材料应用中有一定的参考价值。

关 键 词:SH波散射  一维六方准晶  直裂纹  对偶积分方程  标准动应力强度因子
收稿时间:2014/7/28 0:00:00
修稿时间:2014/11/3 0:00:00

The scattering of SH wave on a linear crack in one-dimensional hexagonal quasicrystal
ZHAO Xue-fen and LI Xing.The scattering of SH wave on a linear crack in one-dimensional hexagonal quasicrystal[J].Chinese Journal of Computational Mechanics,2015,32(5):693-698.
Authors:ZHAO Xue-fen and LI Xing
Institution:School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China;Xinhua College, Ningxia University, Yinchuan 750021, China;School of Mathematics and Computer Science, Ningxia University, Yinchuan 750021, China;Ningxia Normal University, Guyuan 756000, China
Abstract:The scattering of SH wave in one-dimensional hexagonal quasicrystal with a linear crack is studyed in the paper.By using the intergral transform technique and combining with Copson methods,through solving dual integral equations,the analytical expression of phonon field stresses,phason field stresses,phonon field displacements,phason field displacements and dynamic stress intensity factor at crack tip are obtained.Numerical examples are used to discuss the impact of the crack length,incident angle,incident wave frequencies on dynamic stress intensity factors.The research has certain value in engineering materials application.
Keywords:scattering of SH wave  one-dimensional hexagonal quasicrystal  linear crack  norm dynamic stress intensity factor
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