Transient responses of a special non-homogeneous magneto-electro-elastic hollow cylinder for a fully coupled axisymmetric plane strain problem

Summary By means of introducing a new dependent variable and the separation of variables technique as well as the superposition method, the axisymmetric plane strain dynamic problem of a special non-homogeneous magneto-electro-elastic hollow cylinder is finally transformed to two Volterra integral equations of the second kind with respect to two functions of time. At each time subinterval, a cubic Hermite polynomial is adopted to approximate the two undetermined functions, and the recursive formula is obtained.The integral equation is then solved successfully. The transient responses of displacements, stresses, electric and magnetic potentials are finally determined. Numerical results are presented at the end.