COMPLEX VARIABLE BOUNDARY ELEMENT METHOD FOR TORSION OF ANISOTROPIC BARS

A complex variable boundary element method for torsion of anisotropic cylindrical/prismatic bars whose longitudinal axis is normal to the plane of elastic symmetry of the bar is presented in this paper. By suitable transformation of coordinates, the governing equation in terms of the warping function is reduced to a potential problem in the transformed domain. The potential problem in the transformed domain is solved by the complex variable boundary element method. The stresses on the boundary are shown to be expressible in terms of boundary values of the warping function and its complex conjugate. The numerical results obtained by this method are compared with analytical solutions for illustrative problems.