Abstract
The static, uncoupled problem of thermomagnetoelasticity for long cylinders carrying a steady, axial current is investigated in stresses within a numerical approach by a boundary integral method in terms of real harmonic functions. This is the numerical realization of the field equations, boundary conditions and other relations presented in [1]. The method is complemented by the use of boundary collocation method to evaluate some path-independent line integrals needed in the representation of the mechanical displacement field. The material of the cylinder is assumed homogeneous and isotropic, and linear dependence of the magnetic permeability on strain is taken in consideration through two material constants. Formulae are obtained for the boundary values of functions of practical interest like stress and mechanical displacement. Evaluation in the bulk may then be carried out by quadrature on the basis of well-known formulae of the theory of potential. The special case of an elliptic boundary is treated and the results are compared to the analytical solution established in [11]. It is concluded that the proposed numerical scheme performs efficiently in this case, and may thus be used for other forms of the boundary, subject only to smoothness condition.