ABSTRACT

Mentioned papers also contain solutions of representative boundary-value problems for which exact solutions can be found. For the most part such solutions are idealized in the sense that they apply only for bodies of infinite extent in one or more directions so that edge effects are not present. The first numerical simulation of a boundary-value problem involving finite geometry is reported (Bustamante et al., 2007). In their paper the problem of a circular cylindrical tube of finite length that is deformed and then subjected to an axial magnetic field is examined. The magnetic field vector is chosen as the independent magnetic variable in the constitutive law and the resulting boundary-value problem is solved using a finite-difference method.