计算物理 ›› 2022, Vol. 39 ›› Issue (1): 33-40.DOI: 10.19596/j.cnki.1001-246x.8344

• 研究论文 • 上一篇    下一篇

磁电弹性体中螺型位错与唇口裂纹的相互作用

郭怀民1(), 赵国忠1, 姜丽娟2   

  1. 1. 包头师范学院 数学科学学院,内蒙古 包头 014030
    2. 包头师范学院 教育科学学院, 内蒙古 包头 014030
  • 收稿日期:2021-02-24 出版日期:2022-01-25 发布日期:2022-09-03
  • 作者简介:

    GUO Huaimin (1969-), male, PhD, professor, research in computational mechanics, E-mail:

Screw Dislocation Interacting with Lip-shaped Crack in Magnetoelectroelastic Media

Huaimin GUO1(), Guozhong ZHAO1, Lijuan JIANG2   

  1. 1. College of Mathematics Science, Baotou Teachers' College, Baotou, Inner Mongolia 014030, China
    2. College of Education Science, Baotou Teachers' College, Baotou, Inner Mongolia 014030, China
  • Received:2021-02-24 Online:2022-01-25 Published:2022-09-03
  • Supported by:
    National Natural Science Foundation of China(11761054); Research Project of Baotou Techers' College(BSYKJ2021-ZY03)

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

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.

Key words: magnetoelectroelastic media, screw dislocations, lip-shaped crack, field intensity factors, Muskhelishvili techniques