The theory of nonlinear elastic-plastic-viscous rigid deformation of extremely strained soils in bases of loaded single piles: mathematical model

Research was carried out in accordance with the well-known necessity to elaborate a unified theory of nonlinear elastic-plastic-viscous rigid deformation of extremely strained granular soils in the bases of loaded single piles. Basic provisions of the model of the theory of nonlinear deformation of extremely strained soils are determined. Distinctive features of granular media in the role of models of mechanical behavior of dusty-clay and sandy soils under load are studied. Differential analysis of deformation of an experimentally studied base of a stamp is carried out; as a result, techniques for the following procedures has been developed: construction of separate design graphs of elastic, plastic, viscous and rigid soil deformations; theoretical determination of nonlinear general, elastic, plastic, viscous and rigid soil deformations; estimated determination of reference stepwise coefficients of proportionality of modules of nonlinear general, elastic, plastic, viscous and rigid soil deformations; approaches to simulation of granular media of dusty-clay and sandy soils. Studied forms of soil cores compacted at the base of a die and the lower ends of the single piles under research are described. A theory of geometric parameters and their correlations of strained deformed states of the soil is elaborated. Generalized conclusions on the essence of the content of the developed theory’s provisions are made.