Abstract
A Boundary Element Method (BEM) for solving two (2D) dimensional static problem in materials under magnetic field as an external force is illustrated. A non-dimensional fundamental solution for stresses and displacements are obtained using Galerkin vectors. A reciprocity theorem is obtained. Integral representation of the displacement components is obtained. The formulation was applied to a specific problem for a thick plate. The results are compared with the exact analytical solutions obtained by using the Fourier exponential to transform for validation. The effect of magnetic field is calculated numerically and displayed graphically.