Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 19, Issue 1, Pages 311-322Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2013.05.019
Keywords
Parameters identification; Inverse problem; Viscoelasticity; Fractional derivatives; Ant colony optimization algorithm
Categories
Funding
- NSF [10421002, 10772035, 10721062, 11072043]
- NKBRSF [2010CB832703]
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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.
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