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Parameter Identification of Nonlinear Viscoelastic Material Model Using Finite Element-Based Inverse Analysis

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Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 9

Abstract

This study focuses on identifying the parameters of a nonlinear viscoelastic model from Berkovich nanoindentation experiment of an epoxy polymer using finite element-based inverse analysis approach. Instead of traditional approach of online optimization of model parameters, where finite element computation is placed inside of the optimization algorithm, this study utilizes a surrogate or meta-modeling approach. The surrogate model, which is based on Proper Orthogonal Decomposition (POD) and Radial Basis Function (RBF), is trained with finite element load–displacement data obtained by varying the different model parameters in a parameter space. Once trained POD–RBF based surrogate model is used to approximate the nanoindentation simulation data inside a multi-objective Genetic Algorithm. Current efforts are focused to validate identified parameter set of nonlinear viscoelastic model for different experimental conditions (e.g. maximum load, loading/unloading rate).

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Acknowledgements

We gratefully acknowledge that this work is funded in part or fully by a grant through the Oklahoma Nanotechnology Applications Project (ONAP) (Grant no. O9-20) and NASA Experimental Program to Stimulate Competitive Research (EPSCOR) (Grant no. NNXO9AP68A).

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Authors and Affiliations

  1. School of Mechanical and Aerospace Engineering, Oklahoma State University, Stillwater, OK, 74075, USA

    Salah U. Hamim & Raman P. Singh

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  1. Salah U. Hamim
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  2. Raman P. Singh
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Editors and Affiliations

  1. University of Southampton , Southampton, United Kingdom

    Simon Quinn

  2. Clermont AuvergneSigma Clermont, Institut Pascal, Clermont-Ferrand, France

    Xavier Balandraud

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Hamim, S.U., Singh, R.P. (2017). Parameter Identification of Nonlinear Viscoelastic Material Model Using Finite Element-Based Inverse Analysis. In: Quinn, S., Balandraud, X. (eds) Residual Stress, Thermomechanics & Infrared Imaging, Hybrid Techniques and Inverse Problems, Volume 9. Conference Proceedings of the Society for Experimental Mechanics Series. Springer, Cham. https://doi.org/10.1007/978-3-319-42255-8_19

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  • DOI: https://doi.org/10.1007/978-3-319-42255-8_19

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-42254-1

  • Online ISBN: 978-3-319-42255-8

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