IJPAM: Volume 81, No. 4 (2012)

GENERALIZED MODEL OF VISCOELASTIC DEFORMATION

A. Aleksandrov$^1$, S. Lekova$^2$, M. Milenova$^3$
$^{1,2,3}$Department of Applied Mechanics
University of Chemical Technology and Metallurgy
8, Climent Ohridsky Blvd., Sofia 1756, BULGARIA


Abstract. In this paper we consider generalized mathematical model describing the process of viscoelastic deformation of polymer materials. It describes the polyethylene creep under diffusion of liquid environment not interacting chemically with the polymer. We analyse here some results of certain tests produced with samples which have reached beforehand different levels of saturation with cyclohexan and have been afterwards put under mechanical testing of a short creep in pure torsion and uniform loading. Analyzing the results we use the method of orthogonal expansions and at the same time extend it for a process with integrating properties (without self-settling). In this case it is necessary to separate the integral component, which is presented as signal-dependent.

Received: September 12, 2012

AMS Subject Classification: --???--

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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2012
Volume: 81
Issue: 4