Journal of Central South University of Technology

, Volume 16, Issue 1, pp 125–130

Effective loading algorithm associated with explicit dynamic relaxation method for simulating static problems

  • Chong-bin Zhao赵崇斌
  • Sheng-lin Peng彭省临
  • Liang-ming Liu刘亮明
  • B. E. Hobbs
  • A. Ord
Article

DOI: 10.1007/s11771-009-0021-7

Cite this article as:
Zhao, C., Peng, S., Liu, L. et al. J. Cent. South Univ. Technol. (2009) 16: 125. doi:10.1007/s11771-009-0021-7

Abstract

Based on the fact that a static problem has an equivalent wave speed of infinity and a dynamic problem has a wave speed of finite value, an effective loading algorithm associated with the explicit dynamic relaxation method was presented to produce meaningful numerical solutions for static problems. The central part of the explicit dynamic relaxation method is to turn a time-independent static problem into an artificial time-dependent dynamic problem. The related numerical testing results demonstrate that: (1) the proposed effective loading algorithm is capable of enabling an applied load in a static problem to be propagated throughout the whole system within a given loading increment, so that the time-independent solution of the static problem can be obtained; (2) the proposed effective loading algorithm can be straightforwardly applied to the particle simulation method for solving a wide range of static problems.

Key words

numerical simulationstatic systemsdynamic relaxationloading algorithm

Copyright information

© Central South University Press and Springer-Verlag GmbH 2009

Authors and Affiliations

  • Chong-bin Zhao赵崇斌
    • 1
    • 2
  • Sheng-lin Peng彭省临
    • 1
  • Liang-ming Liu刘亮明
    • 1
  • B. E. Hobbs
    • 2
  • A. Ord
    • 2
  1. 1.Computational Geosciences Research CentreCentral South UniversityChangshaChina
  2. 2.CSIRO Division of Exploration and MiningBentleyAustralia