COMPLETE SOLUTION OF THE LINEAR MAGNETOELASTICITY AND THE MAGNETIC-FIELDS IN A MAGNETIZED ELASTIC HALF-SPACE

In this paper a general solution of the equations in the linearized th eory of magnetoelasticity, which was developed by Pao and Yeh (1973) o n the basis of Brown's phenomenological theory of magnetoelasticity (1 966), is obtained. As in some applications, the magnetic fields caused by the mechanical singularities in a magnetized P. China elastic half -space are considered. Using the general solution and the Mindlin star e of the elastic half-space (1936), the exact three-dimensional soluti ons for the generated magnetic fields due to various mechanical singul arities, such as a single force and a doublet, are obtained in closed form.