An Efficient Algorithm for Calculating Rheological Parameters of Layered Soil Media Composed from Elastic-Creeping Materials

Abstract

A method is proposed for calculating the average rheological characteristics of inhomogeneous soils consisting of layers of elastic-creeping materials. The "cores" of the creep equations describing the stress-strain behavior of "equal" quasi-homogeneous soil media with averaged parameters are suggested. The calculation of these parameters is reduced to determining the roots of the polynomials of degree equal to the total number of exponential functions that enter the creep cores obtained for soil layers. The proposed technique can be used to calculate slow creep displacements and the stress-strain state of layered rocks, as well as to statistically assess the characteristics of composite materials. An example is presented for calculating the effective coefficients of an elastic-creeping mountain massif consisting of two parallel layers alternating in pairs.