Modeling of Strength Characteristics of Polymer Concrete Via the Wave Equation with a Fractional Derivative

Ludmila Kirianova
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Ludmila Kirianova: Department of Applied Mathematics, Moscow State University of Civil Engineering, 129337 Moscow, Russia

Mathematics, 2020, vol. 8, issue 10, 1-10

Abstract: The article presents a solution to a boundary value problem for a wave equation containing a fractional derivative with respect to a spatial variable. This model is used to describe oscillation processes in a viscoelastic medium, in particular changes in the deformation-strength characteristics of polymer concrete (dian and dichloroanhydride-1,1-dichloro-2,2-diethylene) under the influence of the gravity force. Based on the obtained solution to the boundary value problem, the article presents four numerical examples corresponding to homogeneous boundary conditions and various initial conditions. The graphs of the found solutions were constructed and the calculation accuracy in the considered examples was estimated.

Keywords: wave equation; fractional differentiation; eigenvalues and eigenfunctions of boundary value problem (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:8:y:2020:i:10:p:1843-:d:431572

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