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论文类型：期刊论文

发表时间：2014-01-01

发表刊物：COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION

收录刊物：SCIE、EI

卷号：19

期号：1

页面范围：311-322

ISSN号：1007-5704

关键字：Parameters identification; Inverse problem; Viscoelasticity; Fractional derivatives; Ant colony optimization algorithm

摘要：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.