Stress state and displacements of a ponderable, nonlinearly deformable soil half-space under a circular rigid footing

Contact Interaction of Shallow Foundations with Nonhomogeneous Bases

“…Only a rather small number of publications available touch the problem of account of physical nonlinearity of the base material when the problems are solved using the finite-difference method [161,207,243,244]. Malyshev and Proskuryakov in [207] present the results of numerical solution of the problem of the stress-strained state of a half-space subject to a flexible load uniformly determined over a square area.…”

“…The contact problem of the deformation of a nonlinearly elastic base under a round rigid punch, studied by Solomin et al using the finite-difference method [161,243,244], is discussed below when the numerical solutions of the contact problem for round punches is specially considered.…”

“…This restriction is abandoned in case nonlinear (elastoplastic) models of soil bases being used. Axisymmetric problems regarding stresses and displacements of a nonlinearly deformed half-space, on whose surface a circular or a ring-shaped centrally loaded punch being located, are considered in [12,64,101,161,198,243,244,258,269]. In all cases no slippage of the soil under the bottom was assumed to occur, i.e.…”

“…In order to solve the contact problem of a round punch, in [161,243,244] the relation between the stress and deformation components was taken in the form of the generalized Hooke's law where the shear modulus and the modulus of dilatation are scalar functions of the stress tensor invariants. The form of the functional dependence was determined experimentally.…”