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A Temporally Piecewise Adaptive Scaled Boundary Finite Element Method for Solving the Fuzzy Uncertain Viscoelastic Problems

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A Correction to this article was published on 22 November 2018

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Abstract

The numerical solutions for uncertain viscoelastic problems have important theoretical and practical significance. The paper develops a new approach by combining the scaled boundary finite element method (SBFEM) and fuzzy arithmetic. For the viscoelastic problems with zero uncertainty, the SBFEM and the temporally piecewise adaptive algorithm is employed in the space domain and the time domain, respectively, in order to provide an accurate semi-analytical boundary-based approach and to ensure the accuracy of discretization in the time domain with different sizes of time step at the same time. The fuzzy arithmetic is used to address the uncertainty analysis of viscoelastic material parameters, and the transformation method is used for computation with the advantages of effectively avoiding overestimation and reducing the computational costs. Numerical examples are provided to test the performance of the proposed method. By comparing with the analytical solutions and the Monte Carlo method, satisfactory results are achieved.

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  • 22 November 2018

    In all the articles in Acta Mechanica Solida Sinica, Volume 31, Issues 1–4, the copyright is incorrectly displayed as “The Chinese Society of Theoretical and Applied Mechanics and Technology ” where it should be “The Chinese Society of Theoretical and Applied Mechanics”.

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Acknowledgements

The research leading to this paper is funded by NSF [11572077, 11202046, 10802015], NKBRSF [2015CB057804], Natural Science Funding of Liaoning Province [2015020141, 2015020119] and the Fundamental Research Funds for Central Universities [DUT17LK11, DUT17ZD311].

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Authors and Affiliations

  1. School of civil and safety engineering, Dalian Jiaotong University, Dalian, 116028, China

    Qiwen Xue & Jing Wang

  2. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian, 116024, China

    Yiqian He & Haitian Yang

  3. School of Physics and Electronic Technology, Liaoning Normal University, Dalian, 116029, China

    Xiuyun Du

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  1. Qiwen Xue
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  2. Jing Wang
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  3. Yiqian He
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  4. Haitian Yang
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Correspondence to Yiqian He.

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Xue, Q., Wang, J., He, Y. et al. A Temporally Piecewise Adaptive Scaled Boundary Finite Element Method for Solving the Fuzzy Uncertain Viscoelastic Problems. Acta Mech. Solida Sin. 31, 459–469 (2018). https://doi.org/10.1007/s10338-018-0024-8

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  • DOI: https://doi.org/10.1007/s10338-018-0024-8

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