磁电弹性体中多条位错与Griffith裂纹

Multiple Screw Parallel Dislocations and a Griffith Crack in Magnetoelectroelastic Body

根据本征方程,研究磁电弹性体中若干平行螺型位错与Griffith裂纹的相互作用.结合Muskhelishvili方法和算子理论,得到磁电弹性体中由位错和裂纹所诱导的应力场、电场和磁场的解析解.数值算例表明:在裂纹的端点及位错点上仍然存在应力的奇异性,离位错点越远处广义力越小,结论与已有的结果相符,证明了结论的正确性.当位错点与裂纹端点距离越近时,裂纹与位错间的应力场越小,并逐渐趋近于零.

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.