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Application of the energy method to the calculation of a two-phase body

Abstract

Application of the energy method to the calculation of a two-phase body

Maltseva T.V.

Incoming article date: 06.12.2020

The stress-strain state of a two-phase body under the action of a load is described using a system of partial differential equations (Lame equations), the analytical solution of which can be obtained for a narrow class of problems. To apply one of the variational methods to solving the generalized Lamé system, a functional is written based on the potential energy of deformations, which allows us to expand the range of tasks for the study of mechanical processes in soil foundations under engineering structures.

Keywords: two-phase body, water-saturated soil base, potential energy of a two-phase body, stress-strain state