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J. Kruis, J. Vorel, "Multi-time Step Methods in Lattice Discrete Particle Models", in P. Ivanyi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Seventeenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 6, Paper 7.5, 2023, doi:10.4203/ccc.6.7.5

Keywords: lattice discrete particle model, explicit time integration, Lagrange multipliers, multi-time step method.

Abstract

Lattice discrete particle models substitute the finite element method in specific problems, e.g. crack propagation and failure of quasi-brittle materials or thermoset polymers used in rebar connections and heavy-duty anchoring. The number of particles is usually very large which results in severe computational demands. Speedup of the computations can be achieved by suitable time integration method. This contribution concerns with multi-time step method based on domain decomposition method with Lagrange multipliers on interfaces. The method is formulated for nonlinear equations of motion, where the internal forces are computed directly without the stiffness matrix. Two different time steps are used in two subdomains.

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Front Page Browse CCC CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Conferences ISSN 2753-3239 CCC: 6 PROCEEDINGS OF THE SEVENTEENTH INTERNATIONAL CONFERENCE ON CIVIL, STRUCTURAL AND ENVIRONMENTAL ENGINEERING COMPUTING Edited by: P. Ivanyi, J. Kruis and B.H.V. Topping Paper 7.5 Multi-time Step Methods in Lattice Discrete Particle Models J. Kruis and J. Vorel Faculty of Civil Engineering, Czech Technical University in Prague, Czech Republic doi:10.4203/ccc.6.7.5 Full Bibliographic Reference for this paper J. Kruis, J. Vorel, "Multi-time Step Methods in Lattice Discrete Particle Models", in P. Ivanyi, J. Kruis, B.H.V. Topping, (Editors), "Proceedings of the Seventeenth International Conference on Civil, Structural and Environmental Engineering Computing", Civil-Comp Press, Edinburgh, UK, Online volume: CCC 6, Paper 7.5, 2023, doi:10.4203/ccc.6.7.5 Keywords: lattice discrete particle model, explicit time integration, Lagrange multipliers, multi-time step method. Abstract Lattice discrete particle models substitute the finite element method in specific problems, e.g. crack propagation and failure of quasi-brittle materials or thermoset polymers used in rebar connections and heavy-duty anchoring. The number of particles is usually very large which results in severe computational demands. Speedup of the computations can be achieved by suitable time integration method. This contribution concerns with multi-time step method based on domain decomposition method with Lagrange multipliers on interfaces. The method is formulated for nonlinear equations of motion, where the internal forces are computed directly without the stiffness matrix. Two different time steps are used in two subdomains. download the full-text of this paper (PDF, 7 pages, 1324 Kb) go to the previous paper go to the next paper return to the table of contents return to the volume description
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