CHINESE JOURNAL OF COMPUTATIONAL PHYSICS ›› 2020, Vol. 37 ›› Issue (2): 198-204.DOI: 10.19596/j.cnki.1001-246x.8016

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Multiple Screw Parallel Dislocations and a Griffith Crack in Magnetoelectroelastic Body

GUO Huaimin, ZHAO Guozhong   

  1. Mathematics Science, Bao Tou Teacher's College, Baotou, Inner Mongolia 014030, China
  • Received:2018-11-29 Revised:2019-04-12 Online:2020-03-25 Published:2020-03-25
  • Supported by:
    National Natural Science Foundation of China (11761054), Natural Science Foundation of Inner Mongolia Autonomous Region, China (2015Ms0108), Scientific Research Project of Higher Education Institutions of Inner Mongolia Autonomous Region(NJZZ16235), Training Plane of YinShan scholars of Bao Tou Teacher's College, Program for Young Talents of Inner Mongolia Autonomous Region, China (NJZZ12198), Science and Technology Development Foundation of CAEP (2015B010102)

Abstract: Interactions among parallel screw dislocations and a Griffith crack in magnetoelectroelastic media are investigated in terms of fundamental equations. Combining Muskhelishvili techniques and operator theory, analytic solutions for stress fields, electric fields and magnetic fields induced by screw dislocation and crack in magnetoelectroelastic solid are derived. Numerical examples show that singularity of stress occurs at crack tip and dislocation core. Away from dislocation point, the generalized stress is smaller, which is verified with existing results. As dislocation point approaches crack tip, stress fields between crack and dislocation tends to zero.

Key words: magnetoelectroelastic body, parallel dislocation, Griffith crack, Muskhelishvili technique

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