Modelling Linear Viscoelastic Behaviour of Kanpur Local Soil Using Prony Series, Parameter Fitting

Abstract

This paper aims at presenting a more versatile and general method to determine the rheological (time-dependent) properties of soil, using prony series parameter fitting. The time dependent stress-strain test data (creep data) of soil is used to evaluate the prony-series parameters adopting the method of nonlinear least squares fit. This paper presents the extraction of prony-series parameters of local soil collected from the geotechnical in-situ lab site, IIT Kanpur. Creep test has been performed on the soil sample and the prony-parameters are calculated. Two finite element models are used to simulate and validate the time-dependent constitutive relationship of the soil in both static and dynamic loading conditions.