磁电弹性双材料圆孔边界面裂纹研究  

Study on interface cracks of circular hole in magneto-electro-elastic materials

作　　者：段亚鹏 陆万顺 黄如楷 DUAN Yapeng;LU Wanshun;HUANG Rukai(School of Mathematics and Computer Science,Ningxia Normal University,Guyuan Ningxia 756099)

机构地区：[1]宁夏师范大学数学与计算机科学学院,宁夏固原756099

出　　处：《宁夏师范学院学报》2024年第10期5-14,共10页Journal of Ningxia Normal University

基　　金：宁夏自然科学基金项目(2022AAC03330).

摘　　要：针对磁电弹性双材料圆孔边直线界面裂纹的反平面问题,在电磁不渗透情况下利用保角变换和积分变换法求解裂纹尖端的场强度因子和能量释放率.结果表明,圆孔边裂纹的场强因子主要受到裂纹长度、荷载以及圆孔半径影响.此外,能量释放率除受这些影响外,还与材料参数有关.Addressing the anti-plane cracks issue at the interface of magneto-electro-elastic materials with a circular hole,the cracks tip′s field intensity factor and energy release rate are determined through conformal and integral transformations under the condition of electromagnetic impermeability.The results show that the field intensity factor of the cracks at the circular hole edge is mainly affected by the crack length,load and the radius of the circular hole.In addition,the energy release rate is also related to the material parameters.

关 键 词：磁电弹性材料 界面裂纹 积分变换方法 保角变换 

分 类 号：O175.5[理学—数学]