TY - JOUR
T1 - Exact solution for mode III cracks in a magnetoelectroelastic layer
AU - Wang, B. L.
AU - Han, J. C.
AU - Mai, Y. W.
PY - 2006
Y1 - 2006
N2 - In this paper, we developed a closed-form solution for anti-plane mechanical and in plane electric and magnetic fields in a magnetoelectroelastic layer of finite thickness. Explicit expressions for the stresses, electric fields, and magnetic field, together with their intensity factors and the energy release rate are obtained for the extreme cases of impermeable and permeable crack assumptions, including electrically impermeable and magnetically permeable crack assumption, electrically permeable and magnetically impermeable crack assumption, fully impermeable crack assumption, and fully permeable crack assumption. It is shown that the crack face electromagnetic boundary conditions have strong influence on the crack tip electromagnetic field intensity factors and energy release rate. The stress intensity factor, however, does not depend on the crack electromagnetic boundary condition assumptions. Using the basic solution for the single crack problem, solutions for the problems of two collinear cracks, a periodic array of parallel cracks, and two periodic arrays of parallel cracks are also given.
AB - In this paper, we developed a closed-form solution for anti-plane mechanical and in plane electric and magnetic fields in a magnetoelectroelastic layer of finite thickness. Explicit expressions for the stresses, electric fields, and magnetic field, together with their intensity factors and the energy release rate are obtained for the extreme cases of impermeable and permeable crack assumptions, including electrically impermeable and magnetically permeable crack assumption, electrically permeable and magnetically impermeable crack assumption, fully impermeable crack assumption, and fully permeable crack assumption. It is shown that the crack face electromagnetic boundary conditions have strong influence on the crack tip electromagnetic field intensity factors and energy release rate. The stress intensity factor, however, does not depend on the crack electromagnetic boundary condition assumptions. Using the basic solution for the single crack problem, solutions for the problems of two collinear cracks, a periodic array of parallel cracks, and two periodic arrays of parallel cracks are also given.
KW - cracks
KW - fracture mechanics
UR - http://handle.westernsydney.edu.au:8081/1959.7/uws:46947
UR - http://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=23792605&site=ehost-live&scope=site
M3 - Article
SN - 1383-5416
VL - 24
SP - 33
EP - 44
JO - International Journal of Applied Electromagnetics and Mechanics
JF - International Journal of Applied Electromagnetics and Mechanics
IS - 45323
ER -