In this paper, shakedown limits of non-homogeneous soils in a half-space under rolling and sliding surface loads are investigated. The inhomogeneity of the soil is described by a power law for the variation of Young's modulus with the depth. Mohr-Coulomb criterion is employed to characterise the cohesive-frictional behaviour of the soil. Analytical solutions to the elastic stress field under Hertzian surface contact are derived and then used in conjunction with Melan's shakedown theorem to compute the shakedown limits. The elastic graded effect of the soil on the various shakedown limits is investigated with reference to the corresponding homogeneous case. The results obtained can serve as benchmarks for future numerical shakedown analysis of pavements as well as valuable reference for practical design.
12th International Conference of International Association for Computer Methods and Advances in Geomechanics (IACMAG). Proceedings of the 12th International Conference of International Association for Computer Methods and Advances in Geomechanics (IACMAG) (Goa, India 1-6 October, 2008) p. 538-545