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Performance of DDA time integration

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  • Special Issue on Rock Fractures and Discontinuities: Modeling and Analysis
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Abstract

Discontinuous deformation analysis (DDA) is a numerical method for analyzing the deformation of block system. It employs unified dynamic formulation for both static and dynamic analysis, in which the so-called kinetic damping is adopted for absorbing dynamic energy. The DDA dynamic equations are integrated directly by the constant acceleration algorithm of Newmark family integrators. In order to have an insight into the DDA time integration scheme, the performance of Newmark time integration scheme for dynamic equations with kinetic damping is systematically investigated, formulae of stability, bifurcation, spectral radius, critical kinetic damping and algorithmic damping are presented. Combining with numerical examples, recognition and suggestions of Newmark integration scheme application in the DDA static and dynamic analysis are proposed.

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Authors and Affiliations

  1. Changjiang River Scientific Research Institute, Wuhan, 430010, China

    ShaoZhong Lin & ZhiQiang Xie

  2. Research Center on Water Engineering Safety and Disaster Prevention of MWR, Wuhan, 430010, China

    ShaoZhong Lin & ZhiQiang Xie

  3. DDA Center of Changjiang River Scientific Research Institute, Wuhan, 430010, China

    ShaoZhong Lin & ZhiQiang Xie

Authors
  1. ShaoZhong Lin
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  2. ZhiQiang Xie
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Correspondence to ShaoZhong Lin.

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Lin, S., Xie, Z. Performance of DDA time integration. Sci. China Technol. Sci. 58, 1558–1566 (2015). https://doi.org/10.1007/s11431-015-5893-1

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  • DOI: https://doi.org/10.1007/s11431-015-5893-1

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