The traction boundary contour method for linear elasticity

This paper presents a further development of the boundary contour method. The boundary contour method is extended to cover the traction boundary integral equation. A traction boundary contour method is proposed for linear elastostatics. The formulation of traction boundary contour method is regular for points except the ends of the boundary element and corners. The present approach only requires line integrals for three-dimensional problems and function evaluations at the ends of boundary elements for two-dimensional cases. The implementation of the traction boundary contour method with quadratic boundary elements is presented for two-dimensional problems. Numerical results are given for some two-dimensional examples, and these are compared with analytical solutions. This method is shown to give excellent results for illustrative examples