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Piecewise variables separation-based semi-analytical prediction of effective properties for heterogeneous viscoelastic materials

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Abstract

A novel semi-analytical method in the time domain is proposed to predict the effective properties of heterogeneous viscoelastic composites. By virtue of a temporal series expansion, a piecewise variable separation is realized, and is utilized to formulate a recursive homogenization process, which provides time varying effective strain/stress at a time interval, and can be implemented by M-T, SC methods, or other well-developed spatial homogenization skills. A recursive adaptive algorithm is developed to compute the effective stress and strain, and the temporal inaccuracy caused either by the numerical integral inversion of the integral transformation method, or by the relatively lower truncation order of FDM or improper step size can be avoided. Numerical verification is provided to demonstrate the effectiveness and accuracy of the prediction in comparison with reference solutions obtained by the integral transform method or FEM-based DNS.

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Acknowledgements

The research leading to this paper is funded by the National Natural Science Foundation of China [11972109, 11572068, 11572077] and National Key Basic Research and Development Program of China [2015CB057804].

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  1. State Key Lab of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, People’s Republic of China

    Qiang Fu, Yiqian He, Jin Guo, Xinglin Guo & Haitian Yang

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Fu, Q., He, Y., Guo, J. et al. Piecewise variables separation-based semi-analytical prediction of effective properties for heterogeneous viscoelastic materials. Acta Mech 233, 579–596 (2022). https://doi.org/10.1007/s00707-021-03099-x

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