Multilayered piezomagnetic/piezoelectric composite with periodic interface cracks under magnetic or electric field

Interaction between the doubly periodic interfacial cracks in a layered periodic composite: Simulation by the method of singular integral equation

“…2(d)), due to vertical periodicity [25], the displacements and stress on the upper and lower surfaces of the parallel periodic unit cell in Fig. 2(b) …”

“…These interaction laws between parallel cracks or collinear cracks have drawn much attention of researchers in the past years [23][24][25][26][27][28][29][30][31][32]. Chen [23] considered a static and dynamic anti-plane problem for a periodic array of parallel cracks in a coating-substrate structure, and his solutions show that stress intensity factor decreases with decreasing the vertical spacing of parallel cracks.…”

“…These mean that there exist a shielding effect of parallel cracks and the amplifying effect of collinear cracks. Recently, Wan et al [25] proposed a parallel interface cracks model for a layered periodic piezomagnetic/piezoelectric composite. For this model, there exists a nonmonotonic change in the curve of stress intensity factor versus crack vertical spacing since the certain electromagnetic coupling effect exists between layers of the periodic piezomagnetic/piezoelectric composite.…”

“…The doubly periodic unit cell contains a single crack in the interface between two different layers with a finite length and finite thickness. By combining the treatment skills for the periodic array of collinear cracks [24] and the periodic array of parallel cracks [23,25], the rectangular doubly periodic anti-plane crack problem for an infinite layered periodic composite is transformed to a mixed boundary value problem for a crack problem in an appropriate cell with the suitable periodic boundary conditions on its boundaries. To further understand the interaction effect among the doubly periodic interfacial cracks, the contrastive studies of four crack configurations are given, namely a bilayered composite containing a single crack and a periodic array of collinear cracks, a layered periodic composite with a periodic array of parallel cracks and a doubly periodic rectangular array of cracks.…”

Multiphysics of Multilayered and Functionally Graded Cylinders Under Prescribed Hygrothermomagnetoelectromechanical Loading

“…Wang et al [32] obtained closed-form solutions for a transversely isotropic multilayered MEE circular plate. A multilayered piezoelectric/piezomagnetic composite with periodic interface cracks was studied by Wan et al [33]. A new finite element model was presented by Milazzo and Orlando [34] based on an equivalent single-layer model for MEE multilayered structures.…”