Abstract

HERMOSILLO-ARTEAGA, Armando Rafael; ROMO-ORGANISTA, Miguel Pedro; MAGANA- DEL TORO, Roberto  and  CARRERA-BOLANOS, Jorge. Simulation of Creep Phenomenon in Clay Soils Using Rheology and Fractional Differential Equations. Ing. invest. y tecnol. [online]. 2014, vol.15, n.4, pp.561-574. ISSN 2594-0732.

In this paper, basic concepts about fractional calculus and fractional rheology used in the study of viscoelastic behavior of materials and the application of this methodology in modeling the creep phenomenon are presented; also the solution of a differential equation fractional modeling this phenomenon is commented. The curves obtained experimentally were adequately reproduced using the solution of fractional differential equation that models the phenomenon of creep. Finally, conclusions and comments about the benefit to use fractional differential equations in the simulation of phenomena and problems that arise in engineering are presented.

Keywords : fractional calculus; fractional derivative; fractional rheology; creep; viscoelasticity; clayey soils.

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