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Indexed by:期刊论文

Date of Publication:2014-01-01

Journal:COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

Included Journals:SCIE、EI

Volume:19

Issue:1

Page Number:311-322

ISSN No.:1007-5704

Key Words:Parameters identification; Inverse problem; Viscoelasticity; Fractional derivatives; Ant colony optimization algorithm

Abstract:This paper develops a numerical model to identify constitutive parameters in the fractional viscoelastic field. An explicit semi-analytical numerical model and a finite difference (FD) method based numerical model are derived for solving the direct homogenous and regionally inhomogeneous fractional viscoelastic problems, respectively. A continuous ant colony optimization (ACO) algorithm is employed to solve the inverse problem of identification. The feasibility of the proposed approach is illustrated via the numerical verification of a two-dimensional identification problem formulated by the fractional Kelvin-Voigt model, and the noisy data and regional inhomogeneity etc. are taken into account. (c) 2013 Elsevier B.V. All rights reserved.