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磁电弹性体中螺型位错与唇口裂纹的相互作用
引用本文:郭怀民,赵国忠,姜丽娟.磁电弹性体中螺型位错与唇口裂纹的相互作用[J].计算物理,2022,39(1):33-40.
作者姓名:郭怀民  赵国忠  姜丽娟
作者单位:1. 包头师范学院 数学科学学院,内蒙古 包头 0140302. 包头师范学院 教育科学学院, 内蒙古 包头 014030
基金项目:National Natural Science Foundation of China (11761054);
摘    要:研究磁电弹性体中螺型位错与唇口裂纹的相互作用。结合Muskhelishvili方法和干扰技术, 在假定裂纹面具有不可渗透条件下得到磁电弹性体中由位错和唇口裂纹所诱导的应力场、电场和磁场的解析解。应用广义Peach-Koehler公式,得到作用在位错上的影像力。通过数值算例,得到场强度因子的变化规律及影像力和广义力随位错位置的变化规律。

关 键 词:磁电弹性体  螺型位错  唇口裂纹  场强度因子  Muskhelishvili方法  
收稿时间:2021-02-24

Screw Dislocation Interacting with Lip-shaped Crack in Magnetoelectroelastic Media
GUO Huaimin,ZHAO Guozhong,JIANG Lijuan.Screw Dislocation Interacting with Lip-shaped Crack in Magnetoelectroelastic Media[J].Chinese Journal of Computational Physics,2022,39(1):33-40.
Authors:GUO Huaimin  ZHAO Guozhong  JIANG Lijuan
Institution:1. College of Mathematics Science, Baotou Teachers' College, Baotou, Inner Mongolia 014030, China2. College of Education Science, Baotou Teachers' College, Baotou, Inner Mongolia 014030, China
Abstract:Interreaction between a penetrating lip-shaped crack and a screw dislocation in magnetoelectroelastic media is investigated with Muskhelishvili techniques and perturbation technique. Analytic solutions for stress, magnetic induction and electric displacement caused by dislocation and lip-shaped crack in magnetoelectroelastic solid are derived. By using the generalized Peach-Koehler formula, image forces acting on a dislocation are calculated. Regularities of field intensity factors, generalized stress field and image force at different dislocation positions are obtained with numerical examples.
Keywords:magnetoelectroelastic media  screw dislocations  lip-shaped crack  field intensity factors  Muskhelishvili techniques
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