Extension of the linear matching method to geotechnical problems

An extension of the linear matching method for shakedown is given here for the Drucker–Prager yield condition as an approximation to the Mohr Coulomb slip condition for geotechnical materials. For this yield condition, the established criterion for the application of the method are not satisfied. We here describe adaptations of the method that yields converged solutions. The method is applied to a simple indentation problem as well as 3D rolling contact problem for both an associated and a non-associated flow rules. The developed method is appropriate for the design analysis associated with road pavements and railways foundations.