Solution of geotechnical boundary value problems with water-soil interaction using the Double-Point-Material Point Method (2P-MPM)
Final Report Abstract
This project aimed to develop a numerical method for simulating mechanical-hydraulic coupled processes in saturated soils, particularly those involving large deformations of the soil skeleton and significant relative motion between the pore fluid and the solid matrix. The core of the method was based on the Material Point Method (MPM), which was extended by integrating advanced MPM algorithms and Double-Point MPM (2P-MPM), as well as by implementing the axisymmetric formulation of Biot’s equations. The project was implemented in MATLAB software environment, which supported efficient development through its extensive libraries, debugging tools, and GPU/CPU parallelization functions. A major goal was to validate and verify the MPM code using real-world measurements and comparative simulations with standard numerical tools. By implementing parallelization and finite element coupling, the code was able to solve complex, large-scale geotechnical boundary value problems. The simulation framework has been extended to include new components such as contact algorithms and absorbing boundaries. These additions supported the numerical modelling of challenging scenarios, including impacts and explosions in geotechnical problems being investigated in field tests.
Publications
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2P-MPM für hochdynamische Einwirkungen - eine kompakte und effiziente Implementierung in MATLAB. In: Tagungsband zum Workshop Numerische Methoden in der Geotechnik 2022 in Hamburg, Veröffentlichungen des Instituts für Geotechnik und Baubetrieb der Technischen Universität Hamburg, Heft 53, S. 179-186
Chmelnizkij A.
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MPM developments in soil-water-structure interaction implemented in Anura3D. 7th edition of the International Conference on Particle-based Methods. CIMNE.
Ceccato, F.; Chmelnizkij, A.; Yerro, A.; Martinelli, M. & Pinyol, N.
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Moving Last Squares Material Point Method for porous media. In: Proceedings of 10th European Conference on Numerical Methods in Geotechnical Engineering 2023 in London/UK
Chmelnizkij A.
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Regularized MPM for porous media . In: Veröffentlichungen des Instituts für Geotechnik und Baubetrieb. PhD thesis
Chmelnizkij A.
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Improved double-point material point method for dynamic geotechnical problems. Journal of Physics: Conference Series, 2647(8), 082013.
Chmelnizkij, A.
