Variational inequality-based particle discontinuous deformation analysis |
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| Authors: | Huo Fan JianFeng Wang Hong Zheng |
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| Institution: | 1. Department of Architecture and Civil Engineering, City University of Hong Kong, Kowloon, Hong Kong;2. Key Laboratory of Urban Security and Disaster Engineering, Ministry of Education, Beijing University of Technology, Beijing, 100124 China |
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| Abstract: | 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. |
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| Keywords: | contact nonlinearity discontinuous deformation analysis multicore parallel computation two-stage prediction-correction variational inequality |
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