CPU-accelerated explicit discontinuous deformation analysis and its application to landslide analysis

Xinyan Peng, Pengcheng Yu, Guangqi Chen, Mingyao Xia, Yingbin Zhang

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


An explicit discontinuous deformation analysis (DDA) that uses an explicit time integration procedure and an explicit calculation of interaction forces between blocks is proposed to overcome the limitations of conventional implicit DDA in simulating large-scale problems. The advantages of the explicit DDA are that (1) the global equilibrium equations are unnecessary to be assembled and the solving for unknowns of every block can be performed independently and conveniently, thereby reducing the computational effort and memory requirement; (2) the open-close iteration process is avoided because the interaction forces between blocks are calculated explicitly according to the initial information at the start of the current time step. The efficient parallel computing is very appropriate for the explicit DDA. To further improve its computational efficiency, the explicit DDA is paralleled based on OpenMP. The accuracy of the explicit DDA is verified through several numerical examples with analytical solutions, experimental data or field observation. Further, the computational efficiency is demonstrated by a series of models and the parallel speedup factor on 6 OpenMP threads is approximately 4.2. Conclusively, the explicit DDA is promising for analyzing blocky systems in large scale.

Original languageEnglish
Pages (from-to)216-234
Number of pages19
JournalApplied Mathematical Modelling
Publication statusPublished - Jan 2020

All Science Journal Classification (ASJC) codes

  • Modelling and Simulation
  • Applied Mathematics


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