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Abstract The interaction between the circular arc crack with penetrating type and the screw dislocation is studied in magnetoelectric composites. Firstly, according to the basic equations of magnetoelastic composites and the theory of complex function，the relationship between the anti-plane shear stress, the normal component of the electric displacement and the normal component of the magnetic induction along the boundary arc c is derived. Then, based on conformal mapping technique, the complex form of generalized stress field is obtained by analyzing the stress conditions of the dislocation. In order to discuss the dislocation, dislocation shielding effect and crack shielding effect at the crack tip, we further deduce the force-electric-magnetic field intensity factors and the image forces acting on the dislocation. By analyzing the analytical solutions and numerical examples, the results show that the shielding effect of the field strength factor decreases with the increasing of the distance between the tip of the circular arc cracks and the dislocation point, and the angle formed by their connecting line and the positive half axis of the x-axis, which indicates that the dislocation has shielding effect on the crack. Then, the effect of dislocation on circular arc cracks is more obvious than that on straight crack. Besides, the image force on the dislocation is affected by the surface condition of the circular arc cracks. Finally, the screw dislocation can reduce the stress intensity factor of the circular arc cracks tip, and the shielding effect is rapidly weakened with the increase of the angle. The shielding effect of the screw dislocation on the crack tip is strengthened with the increase of the ratio of the distance from the dislocation point to the crack tip and the half-chord length of the circular arc cracks. These conclusions have a certain significance for fracture mechanics research, and provide a theoretical basis for improving and evaluating the performance of electromagnetic devices.
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Received: 30 November 2023
Published: 02 July 2024
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Corresponding Authors:
guanting liu
E-mail: guantingliu@imnu.edu.cn
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2024, Vol. 45 
