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Solving viscoelastic problems with cyclic symmetry via a temporally adaptive EFG-SB partitioning algorithm

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Abstract

Based upon a combination of a temporally-piecewise adaptive algorithm with an Element-Free Galerkin Scaled Boundary Method (EFG-SBM), a partitioning algorithm is presented for the two-dimensional viscoelastic analysis of cyclically symmetric structures. By expanding variables at a discretized time interval, the variations of variables can be described more precisely, and a space–time domain-coupled problem can be converted into a series of recurrent boundary value problems which are solved by an EFG-SBM-based partitioning algorithm via an adaptive computing process. Numerical examples are given to verify the proposed algorithm in terms of computing accuracy and efficiency.

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Acknowledgements

The research leading to this paper is funded by NSF [11572068], NKBRSF [2015CB057804], Natural Science Funding of Liaoning Province [201602115].

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Authors and Affiliations

  1. School of Civil and safety Engineering, Dalian Jiaotong University, Dalian, 116028, People’s Republic of China

    Xiaofeng Guo

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

    Xiaofeng Guo & Haitian Yang

Authors
  1. Xiaofeng Guo
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  2. Haitian Yang
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Correspondence to Haitian Yang.

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Guo, X., Yang, H. Solving viscoelastic problems with cyclic symmetry via a temporally adaptive EFG-SB partitioning algorithm. Engineering with Computers 35, 101–113 (2019). https://doi.org/10.1007/s00366-018-0586-6

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  • DOI: https://doi.org/10.1007/s00366-018-0586-6

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