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准晶压电材料中反平面运动裂纹问题

Antiplane Moving Crack Problems in Piezoelectric Quasicrystals

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【作者】 周彦斌李显方刘官厅

【Author】 Zhou Yanbin;Li Xianfang;Liu Guanting;School of Civil Engineering, Central South University;College of Mathematics Science, Inner Mongolia Normal University;

【机构】 中南大学内蒙古师范大学

【摘要】 本文研究了一维六方准晶压电材料中反平面运动裂纹的断裂问题。结论表明一维六方准晶压电材料中的力-电耦合场与裂纹的速度有关,而应力强度因子与裂纹运动速度无关。本文将采用动态能量释放率,来计算裂纹的分叉角,动态能量释放率与所加载的电载荷无关。当马赫数M高于某一临界值时M_c,运动裂纹具有分叉现象.

【Abstract】 In this paper, the dynamic fracture mechanics for one-dimensional hexagonal piezoelectric quasicrystal material with anti-plane moving crack is investigated. The results show that the coupled elastic and the electric fields in one-dimensional hexagonal piezoelectric quasicrystal material dependent on the speed of the crack propagation, while the stresses intensity factors are independent of the speed of the crack propagation, and is consistent with the pure elastic conclusion. In this paper, the dynamic energy release rate is used to calculate the bifurcation angle of the crack, and the dynamic energy release rate is independent of the loaded electric load. When the Mach number M is higher than a critical value Mc, the moving crack has obvious bifurcation.

  • 【会议录名称】 中国力学大会-2017暨庆祝中国力学学会成立60周年大会论文集(A)
  • 【会议名称】中国力学大会-2017暨庆祝中国力学学会成立60周年大会
  • 【会议时间】2017-08-13
  • 【会议地点】中国北京
  • 【分类号】O346.1
  • 【主办单位】中国力学学会、北京理工大学
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