Estimates of the effective compressive strength

One problem encountered when determining the effective mechanical properties of large-scale objects, which requires calculating their strength in processes of mechanical interaction with other objects, is related to the possible variability in their local properties including those due to the action of external physical factors. Such problems comprise the determination of the effective strength of bodies one of whose dimensions (thickness) is significantly less than the others and whose properties and/or composition can vary with the thickness. A method for estimating the effective strength of such bodies is proposed and illustrated with example of ice cover strength under longitudinal compression with regard to a partial loss of the ice bearing capacity in deformation. The role of failure localization processes is shown. It is demonstrated that the proposed approach can be used in other problems of fracture mechanics.