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Improved DDA Method Based on Explicitly Solving Contact Constraints

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  • Jian Zhao
  • Ming Xiao
  • Juntao Chen
  • Dongdong Li

Abstract

This paper proposes an improved DDA method based on explicitly solving contact constraints. The potential energy function generated by contacting, which contains only displacement variables as an unknown, is deduced based on the approximated step function and Lagrange interpolation, and the displacement variables and contact constraints are obtained via the variable metric method by analyzing the potential energy extremum. There is no need to conduct the open-close iteration during the process of calculation. The improved DDA method based on explicitly solving contact constraints has high precision and a more stable and more robust computational convergence. The accuracy and iterative stability of the improved DDA method are verified using two numerical examples.

Suggested Citation

  • Jian Zhao & Ming Xiao & Juntao Chen & Dongdong Li, 2016. "Improved DDA Method Based on Explicitly Solving Contact Constraints," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-13, October.
    • Handle: RePEc:hin:jnlmpe:9452175
    DOI: 10.1155/2016/9452175
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