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Stability Analysis of an Explicit Integration Algorithm with 3D Viscoelastic Artificial Boundary Elements

Author

Listed:
  • Shutao Li
  • Jingbo Liu
  • Xin Bao
  • Yifan Jia
  • Lan Xiao
  • Xigui Tao
  • Yicun Chen
  • Weifeng Zhang

Abstract

Viscoelastic artificial boundary elements are one of the most commonly used artificial boundaries when solving dynamic soil-structure interactions or near-field wave propagation problems. However, due to the lack of clear and practical stability criteria for the explicit algorithm that considers the influence of viscoelastic artificial boundary elements, the determination of the stable time increment in such numerical analyses is still a challenge. In this study, we proposed a numerical stability analysis method for the explicit algorithm with a 3D viscoelastic artificial boundary element based on the idea of a subsystem. Through this method, the artificial boundary subsystem that controls the stability of the overall numerical system is determined, and the analytical solution for the stability condition of the explicit integration algorithm with 3D viscoelastic artificial boundary elements is obtained. On this basis, the maximum time increment for solving dynamic problems with viscoelastic artificial boundary elements can be determined.

Suggested Citation

  • Shutao Li & Jingbo Liu & Xin Bao & Yifan Jia & Lan Xiao & Xigui Tao & Yicun Chen & Weifeng Zhang, 2020. "Stability Analysis of an Explicit Integration Algorithm with 3D Viscoelastic Artificial Boundary Elements," Mathematical Problems in Engineering, Hindawi, vol. 2020, pages 1-18, August.
    • Handle: RePEc:hin:jnlmpe:1848169
    DOI: 10.1155/2020/1848169
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