一维六方压电准晶中带三条不对称裂纹的圆形孔口的反平面问题（英文）
发布时间：2018-08-14 12:30
【摘要】：本文利用复变函数方法和保角映射,研究一维六方压电准晶材料中带不对称三裂纹的圆形孔口的的断裂问题.根据准晶压电材料基本方程的基础上,利用点群的对称性和一维六方准晶的线性压电效应,导出了一维六方准晶压电材料反平面问题的控制方程,并结合Cauchy积分公式,得到电非渗透与电渗透边界条件下的裂纹尖端场强度因子的解析表达式.当改变裂纹长度和孔口半径时,所得结果可以模拟出一些新裂纹模型.在不考虑电载荷作用时,所得结果和原有结果是一致的.通过数值算例讨论了材料的几何参数对场强度因子的影响,得出水平裂纹长度和圆半径可以促进裂纹增长.本研究为工程中材料的制备与应用将提供可靠的理论价值.
[Abstract]:In this paper, the fracture problem of circular holes with asymmetric three cracks in one-dimensional hexagonal piezoelectric quasicrystals is studied by using complex variable function method and conformal mapping. Based on the basic equations of quasicrystal piezoelectric materials and the symmetry of point groups and the linear piezoelectric effect of one-dimensional hexagonal quasicrystals, the governing equations for anti-plane problems of one-dimensional hexagonal quasicrystal piezoelectric materials are derived, and the Cauchy integral formula is combined. The analytical expression of the intensity factor of the crack tip field is obtained under the condition of electroosmotic and electroosmotic boundary conditions. When the crack length and orifice radius are changed, some new crack models can be simulated. The results are consistent with the original results without considering the effect of electric load. The effect of geometric parameters of material on the field intensity factor is discussed by numerical examples. It is concluded that the horizontal crack length and circle radius can promote the crack growth. This study will provide reliable theoretical value for the preparation and application of materials in engineering.
【作者单位】： 宁夏大学民族预科教育学院;宁夏大学数学计算机学院;
【基金】：The National Natural Science Foundation of China(11362018;11261045) the Specialized Research Fund for the Doctoral Program of Higher Education of China(20116401110002) the Natural Science Foundation of Ningxia University(ZR15026)
【分类号】：O346.1
本文编号：2182866
[Abstract]:In this paper, the fracture problem of circular holes with asymmetric three cracks in one-dimensional hexagonal piezoelectric quasicrystals is studied by using complex variable function method and conformal mapping. Based on the basic equations of quasicrystal piezoelectric materials and the symmetry of point groups and the linear piezoelectric effect of one-dimensional hexagonal quasicrystals, the governing equations for anti-plane problems of one-dimensional hexagonal quasicrystal piezoelectric materials are derived, and the Cauchy integral formula is combined. The analytical expression of the intensity factor of the crack tip field is obtained under the condition of electroosmotic and electroosmotic boundary conditions. When the crack length and orifice radius are changed, some new crack models can be simulated. The results are consistent with the original results without considering the effect of electric load. The effect of geometric parameters of material on the field intensity factor is discussed by numerical examples. It is concluded that the horizontal crack length and circle radius can promote the crack growth. This study will provide reliable theoretical value for the preparation and application of materials in engineering.
【作者单位】： 宁夏大学民族预科教育学院;宁夏大学数学计算机学院;
【基金】：The National Natural Science Foundation of China(11362018;11261045) the Specialized Research Fund for the Doctoral Program of Higher Education of China(20116401110002) the Natural Science Foundation of Ningxia University(ZR15026)
【分类号】：O346.1
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