Moving crack with a contact zone at interface of magnetoelectroelastic bimaterial

Abstract

The plane-strain problem of a moving crack at the interface of two dissimilar magnetoelectroelastic (MEE) materials is investigated. Assuming that the crack moves at a constant speed in the subsonic regime, a fracture analysis of a finite crack under concentrated loading imposed onto the crack face is first carried out. By applying magnetoelectric (ME) permeable boundary conditions at the crack face, a combined Dirichlet-Riemann problem is formulated and solved analytically. The expressions for the fracture parameters, including the relative length of the contact zone and field intensity factors (FIFs), are obtained in the analytical form. A crack of a semi-infinite length with a contact zone under concentrated loading is further presented as a specific case examined with the obtained solution. Then a moving crack of finite length at the interface under remote mix-mode loading is also analyzed and the corresponding fracture parameters are presented in an analytical form. Finally, numerical examples are provided for the material combination of barium titanate-cobalt ferrite composites to examine the influence of the speed of the moving crack, poling direction, material volume fraction, load position and

Singular integral method based closed form solution for moving EMPS model in semipermeable two‐equal‐collinear cracked MEE material

“…Due to the success of existing fracture mechanics theories in the brittle materials, the studies of static and dynamics cracks problems including mathematical derivations were also extended to fracture in smart materials such as piezoelectric [10][11][12][13][14] and magneto-electro-elastic (MEE) [15][16][17][18][19][20][21][22] materials. MEE materials due to their electro-magnetic-mechanical coupling effect are considered as one of the smart materials and have been extensively used in various smart embedded structures as actuators, transducers and sensors.…”

“…The obtained results showed that under impermeable or permeable crack‐face conditions crack velocity has a significant effect on the field intensity factors. The problem of contact zone at interface of MEE bimaterials was extended for a crack moving at a constant subsonic speed by Ma and his co‐workers [21]. Using the solution of the Dirichlet–Riemann problem, the explicit expressions for contact zone length and field intensity factors were evaluated.…”