Affiliations: [a] Center for Composite Materials, Harbin Institute of
Technology, Harbin 150001, PR China | [b] School of Aerospace, Mechanical and Mechatronic
Engineering, The University of Sydney, Australia
Abstract: 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.
