Variational inequality-based particle discontinuous deformation analysis

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journalNot applicablepeer-review

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Original languageEnglish
Pages (from-to)1995-2019
Journal / PublicationInternational Journal for Numerical and Analytical Methods in Geomechanics
Issue number11
Online published7 Jun 2019
Publication statusPublished - 10 Aug 2019


Orienting the circular and rigid particle medium, the variational inequality-based discontinuous deformation analysis (DDA) is established. In the proposed DDA, the global stiffness matrix, the penalty parameters, and the open-close iteration are successfully avoided. The contact constraint is transferred into the problem of variational or quasi-variational inequalities. And explicit variational expression on the contact force is firstly established. To speed up the rate of solving contact force, on the basis of the two-stage prediction-correction method, we design a compatibility iteration algorithm (PPC-CI). The C++ code is developed in multicore environment through the open multi-processing (OpenMP) in order to take advantage of the parallelizable features of the new DDA. Numerical tests suggest that the presented DDA is effective and promising.

Research Area(s)

  • contact nonlinearity, discontinuous deformation analysis, multicore parallel computation, two-stage prediction-correction, variational inequality