The formulation and solution of a two-dimensional magnetothermoelastostatic boundary
value problem is presented for an infinitely long, elliptic cylindrical conductor carrying a
steady, uniformly distributed electric current. A linear dependence of the magnetic
permeability tensor on strain is taken into account. The analysis involves the solution of a
non-homogeneous biharmonic equation for the stress function. The purpose of this work is
to evaluate expressions for the stresses inside the conductor and for the displacement on its …