numgeo

Geotechnical Finite Element Analyses

numgeo

a 2D and 3D non-linear multi purpose finite element program for geotechnical boundary value problems

Vibratory pile driving in water saturated sand
Vibratory pile driving in water saturated sand
Earthquake loading of a foundation
Earthquake loading of a foundation
Micro-mechanical analyses
Micro-mechanical analyses
Deep vibratory compaction
Deep vibratory compaction
Micro-mechanical analyses
Micro-mechanical analyses
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numgeo at a glance

  • Implicit and explicit simulation of coupled dynamic problems with 3-phases and more
  • Contact interactions with large relative motions such as required for pile driving
  • Cyclic response of soils using the most advanced constitutive models
  • Automatic parameter calibration of advanced constitutive soil models
  • Direct and iterative solvers, Multi-threading, Large deformations and much more…

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Key program features

numgeo features different multi-phase element formulations that can be used for quasi-static as well as dynamic
problems (u-p Elements, u-p-U elements, u-U elements):

numgeo offers a wide variety of sophisticated constitutive soil models:

numgeo uses state-of-the art mortar contact discretisation techniques:

Research output​

  1. Jan Machaček, Simon Siegel, Patrick Staubach, Hauke Zachert. Automatic Parameter Calibration of Two Advanced Constitutive Models. Challenges and Innovations in Geomechanics, 2023. Springer International Publishing.[ https://link.springer.com/10.1007/978-3-031-12851-6_14]
    [BibTeX] [Download PDF] 
    @inproceedings{machaček2023automatic,
  title={Automatic Parameter Calibration of Two Advanced Constitutive Models},
  author={Machaček, Jan and Siegel, Simon and Staubach, Patrick and Zachert, Hauke},
  booktitle={Challenges and Innovations in Geomechanics},
  year={2023},
  publisher={Springer International Publishing}
}
  2. Patrick Staubach, Lisa Tschirschky, Jan Machaček, Torsten Wichtmann. Monopile installation in clay and subsequent response to millions of lateral load cycles. Computers and Geotechnics, 2023. doi.org/10.1016/j.compgeo.2022.105221
    [BibTeX] [Download PDF] 
    @article{staubach2023monopile,
  title={Monopile installation in clay and subsequent response to millions of lateral load cycles},
  author={Staubach, Patrick and Tschirschky, Lisa and Machaček, Jan and Wichtmann, Torsten},
  journal={Computers and Geotechnics},
  year={2023}
}
  3. Patrick Staubach, Ivo Kimmig, Jan Machaček, Torsten Wichtmann, Theodoros Triantafyllidis. Deep vibratory compaction simulated using a high-cycle accumulation model. Soil Dynamics and Earthquake Engineering 166:107763, 2023. doi.org/10.1016/j.soildyn.2023.107763
    [BibTeX] [Download PDF] 
    @article{staubach2023deep,
  title={Deep vibratory compaction simulated using a high-cycle accumulation model},
  author={Staubach, Patrick and Kimmig, Ivo  and Machaček, Jan  and Wichtmann, Torsten and Triantafyllidis, Theodoros},
  journal={Soil Dynamics and Earthquake Engineering 166:107763},
  year={2023}
}
  4. Jan Machaček, William Fuentes, Patrick Staubach, Hauke Zachert, Torsten Wichtmann, Theodoros Triantafyllidis. A theory of porous media for unsaturated soils with immobile air. Computers and Geotechnics 157:105324, 2023. doi.org/10.1016/j.compgeo.2023.105324
    [BibTeX] 
    @article{ machaček2023theory,
  title={A theory of porous media for unsaturated soils with immobile air},
  author={ Machaček, Jan  and Fuentes, William and Staubach, Patrick and Zachert, Hauke and Wichtmann, Torsten and Triantafyllidis, Theodoros},
  journal={Computers and Geotechnics 157:105324},
  year={2023}
}
  5. Patrick Staubach, Jan Machaček. Separating fluid and solid contact constraints for hydro-mechanically coupled finite elements discretising fluid displacement. Computer Methods in Applied Mechanics and Engineering 417:116451, 2023. doi.org/10.1016/j.cma.2023.116451
    [BibTeX] 
    @article{staubach2023separating,
  title={Separating fluid and solid contact constraints for hydro-mechanically coupled finite elements discretising fluid displacement},
  author={Staubach, Patrick and Machaček, Jan},
  journal={Computer Methods in Applied Mechanics and Engineering 417:116451},
  year={2023}
}
  6. Jan Machaček, Patrick Staubach. One-point integrated hourglass-enhanced u-U elements with mortar fluid-phase contact and Sanisand interface. Proceedings 10th NUMGE 2023, 2023. ISSMGE.[ https://link.springer.com/10.1007/978-3-031-12851-6_14]
    [BibTeX] [Download PDF] 
    @inproceedings{machaček2023one,
  title={One-point integrated hourglass-enhanced u-U elements with mortar fluid-phase contact and Sanisand interface},
  author={Machaček, Jan and Staubach, Patrick},
  booktitle={Proceedings 10th NUMGE 2023},
  year={2023},
  publisher={ISSMGE}
}
  7. Frederik Brosz, Jan Machaček, Zachert Hauke. Automatic Parameter Calibration of Two Sophisticated Soil Models Based on Monotonic and Cyclic Tests on Sand. Proceedings 10th NUMGE 2023, 2023. ISSMGE.[ https://link.springer.com/10.1007/978-3-031-12851-6_14]
    [BibTeX] [Download PDF] 
    @inproceedings{brosz2023automatic,
  title={Automatic Parameter Calibration of Two Sophisticated Soil Models Based on Monotonic and Cyclic Tests on Sand},
  author={Brosz, Frederik and Machaček, Jan and Zachert Hauke},
  booktitle={Proceedings 10th NUMGE 2023},
  year={2023},
  publisher={ISSMGE}
}
  8. Jan Machaček, Patrick Staubach. Entwicklungen in der numerischen Modellierung geotechnischer Randwertprobleme. Bautechnik 100:1-12, 2023. doi.org/10.1002/bate.202300060
    [BibTeX] 
    @article{ machaček2023entwicklungen,
  title={Entwicklungen in der numerischen Modellierung geotechnischer Randwertprobleme},
  author={ Machaček, Jan  and Staubach, Patrick},
  journal={Bautechnik 100:1-12},
  year={2023}
}
  9. Antonia Nitsch, Jan Machaček, Torsten Wichtmann, Carlos Eduardo Gran-das Tavera. Validierung und Kalibrierung eines hypoplastischen Stoffmodells für expansive Böden. Bautechnik 100:1-12, 2023. doi.org/10.1002/bate.202300062
    [BibTeX] 
    @article{nitsch2023validierung,
  title={Validierung und Kalibrierung eines hypoplastischen Stoffmodells für expansive Böden},
  author={Nitsch, Antonia and Machaček, Jan and Wichtmann, Torsten and Gran-das Tavera, Carlos Eduardo},
  journal={Bautechnik 100:1-12},
  year={2023}
}
    1. Patrick Staubach, Jan Machaček, Merita Tafili, Torsten Wichtmann. A high-cycle accumulation model for clay and its application to monopile foundations. Acta Geotechnica, 2022. https://doi.org/10.1007/s11440-021-01446-9
      [BibTeX] [Download PDF] 
      @article{staubach2022,
  title={ A high-cycle accumulation model for clay and its application to monopile foundations},
  author={Staubach, Patrick and Machaček, Jan and  Tafili, Merita and Wichtmann, Torsten},
  journal={Acta Geotechnica},
  year={2022}
}
    2. Patrick Staubach, Jan Machaček, Torsten Wichtmann. Novel approach to apply existing constitutive soil models to the modelling of interfaces. International Journal for Numerical and Analytical Methods in Geomechanics, 2022. doi.org/10.1002/nag.3344
      [BibTeX] [Download PDF] 
      @article{staubach2022,
  title={ Novel approach to apply existing constitutive soil models to the modelling of interfaces},
  author={Staubach, Patrick and Machaček, Jan and Wichtmann, Torsten},
  journal={ International Journal for Numerical and Analytical Methods in Geomechanics},
  year={2022}
}
    3. Patrick Staubach, Jan Machaček, Torsten Wichtmann. Mortar contact discretisation methods incorporating interface models based on Hypoplasticity and Sanisand: application to vibratory pile driving. Computers and Geotechnics, 2022. doi.org/10.1016/j.compgeo.2022.104677
      [BibTeX] [Download PDF] 
      @article{staubach2022mortar,
  title={Mortar contact discretisation methods incorporating interface models based on Hypoplasticity and Sanisand: application to vibratory pile driving},
  author={Staubach, Patrick and Machaček, Jan and Wichtmann, Torsten},
  journal={Computers and Geotechnics},
  year={2022}
}
    4. Jan Machaček, Frederik Brosz, Patrick Staubach, Torsten Wichtmann, Hauke Zachert. Back-calculations of Centrifuge Tests on Pile Groups Subjected to High-cyclic Loading. DFI-EFFC International Conference on Deep Foundations and Ground Improvement: Smart Construction for the Future, 2022. Deep Foundations Institute.
      [BibTeX] [Download PDF] 
      @inproceedings{machaček2022back,
  title={Back-calculations of Centrifuge Tests on Pile Groups Subjected to High-cyclic Loading},
  author={Machaček, Jan and Brosz, Frederik and Staubach, Patrick and Wichtmann, Torsten and Zachert, Hauke},
  booktitle={DFI-EFFC International Conference on Deep Foundations and Ground Improvement: Smart Construction for the Future},
  year={2022},
  publisher={Deep Foundations Institute}
}
    5. Patrick Staubach. Contributions to the numerical modelling of pile installation processes and high-cyclic loading of soils. PhD thesis, Lehrstuhl für Bodenmechanik, Grundbau und Umweltgeotechnik, Ruhr-Universität Bochum, 2022.
      [BibTeX] [Download PDF] 
      @phdthesis{staubach2022contributions,
  title={Contributions to the numerical modelling of pile installation processes and high-cyclic loading of soils},
  author={Staubach, Patrick},
  school={Lehrstuhl für Bodenmechanik, Grundbau und Umweltgeotechnik, Ruhr-Universität Bochum},
  year={2022}
}
    6. Patrick Staubach, Jan Machaček, Britta Bienen, Torsten Wichtmann. Long-term response of piles to cyclic lateral loading following vibratory and impact driving in water-saturated sand. Journal of Geotechnical and Geoenvironmental Engineering, 2022. 10.1061/(ASCE)GT.1943-5606.0002906
      [BibTeX] [Download PDF] 
      @article{staubach2022long,
  title={Long-term response of piles to cyclic lateral loading following vibratory and impact driving in water-saturated sand},
  author={Staubach, Patrick and Machaček, Jan and Bienen, Britta and Wichtmann, Torsten},
  journal={Journal of Geotechnical and Geoenvironmental Engineering},
  year={2022}
}
    7. Patrick Staubach, Jan Machaček. Langzeitverhalten von hochzyklisch beanspruchten Pfahlgründungen unter Berücksichtigung des Installationsprozesses. 37. Baugrundtagung, 2022. DGGT.
      [BibTeX] [Download PDF] 
      @inproceedings{staubach2022langzeitverhalten,
  title={Langzeitverhalten von hochzyklisch beanspruchten Pfahlgründungen unter Berücksichtigung des Installationsprozesses},
  author={Staubach, Patrick and Machaček, Jan},
  booktitle={37. Baugrundtagung},
  year={2022},
  publisher={DGGT}
}
    8. Jan Machaček, Patrick Staubach, Carlos Gran-das, Torsten Wichtmann, Hauke Zachert. On the automatic parameter calibration of a hypoplastic soil model. Acta Geotechnica, 2022. https://doi.org/10.1007/s11440-022-01669-4
      [BibTeX] [Download PDF] 
      @article{machaček2022automatic,
  title={On the automatic parameter calibration of a hypoplastic soil model},
  author={Machaček, Jan and Staubach, Patrick and Gran-das, Carlos and Wichtmann, Torsten and Zachert, Hauke},
  journal={Acta Geotechnica},
  year={2022}
}
    9. Patrick Staubach, Jan Machaček, Torsten Wichtmann. Impact of the constitutive contact model on the simulation of model tests on monopiles with high-cyclic loading. 20th International Conference on Soil Mechanics and Geotechnical Engineering, 2022.
      [BibTeX] 
      @inproceedings{staubach2022impact,
  title={Impact of the constitutive contact model on the simulation of model tests on monopiles with high-cyclic loading},
  author={Staubach, Patrick and Machaček, Jan  and  Wichtmann, Torsten},
  booktitle={20th International Conference on Soil Mechanics and Geotechnical Engineering},
  year={2022}
}
    1. Jan Machaček, Patrick Staubach. numgeo: A finite-element program for the simulation of hydro-mechanically coupled geotechnical processes. Fachsektionstagung Geotechnik, 2021.[ Deutsche Gesellschaft für Geotechnik e.V. (DGGT).]
      [BibTeX] [Download PDF] 
      @inproceedings{ machaček2021numgeo,
  title={numgeo: A finite-element program for the simulation of hydro-mechanically coupled geotechnical processes},
  author={ Machaček, Jan and Staubach, Patrick },
  booktitle={Fachsektionstagung Geotechnik},
  year={2021},
  publisher={Deutsche Gesellschaft für Geotechnik e.V. (DGGT)}
}
    2. Jan Machaček, Patrick Staubach, Merita Tafili, Hauke Zachert, Torsten Wichtmann. Investigation of three sophisticated constitutive soil models: From numerical formulations to element tests and the analysis of vibratory pile driving tests. Computers and Geotechnics, 138: 104276, 2021. https://doi.org/10.1016/j.compgeo.2021.104276
      [BibTeX] [Download PDF] 
      @article{machaček2021investigation,
  title={Investigation of three sophisticated constitutive soil models: From numerical formulations to element tests and the analysis of vibratory pile driving tests},
  author={Machaček, Jan and Staubach, Patrick and  Tafili, Merita and Zachert, Hauke and Wichtmann, Torsten},
  journal={Computers and Geotechnics},
  year={2021},
  pages={104276}
}
    3. Patrick Staubach, Jan Machacek, Torsten Wichtmann. Large-deformation analysis of pile installation with subsequent lateral loading: Sanisand vs. Hypoplasticity. Soil Dynamics and Earthquake Engineering, 151: 106964, 2021. https://doi.org/10.1016/j.soildyn.2021.106964
      [BibTeX] [Download PDF] 
      @article{staubach2021large,
  title={Large-deformation analysis of pile installation with subsequent lateral loading: Sanisand vs. Hypoplasticity},
  author={Staubach, Patrick and Machacek, Jan  and Wichtmann, Torsten},
  journal={Soil Dynamics and Earthquake Engineering},
  year={2021},
  pages={106964},
  publisher={Elsevier}
}
    4. Patrick Staubach, Jan Machacek, Lisa Tschirschky, Torsten Wichtmann. Enhancement of a high-cycle accumulation model by an adaptive strain amplitude and its application to monopile foundations. International Journal for Numerical and Analytical Methods in Geomechanics, 151: 1-24, 2021. DOI: 10.1002/nag.3301
      [BibTeX] [Download PDF] 
      @article{staubach2021enhancement,
  title={Enhancement of a high-cycle accumulation model by an adaptive strain amplitude and its application to monopile foundations},
  author={Staubach, Patrick and Machacek, Jan and Tschirschky, Lisa and Wichtmann, Torsten},
  journal={International Journal for Numerical and Analytical Methods in Geomechanics},
  year={2021},
  pages={1-24},
  publisher={Wiley}
}
    5. Patrick Staubach, Jan Machaček, Raihan Sharif, Torsten Wichtmann. Back-analysis of model tests on piles in sand subjected to long-term lateral cyclic loading: Impact of the pile installation and application of the HCA model. Computers and Geotechnics, 134: 104018, 2021. https://doi.org/10.1016/j.compgeo.2021.104018
      [BibTeX] [Download PDF] 
      @article{staubach2021back,
  title={Back-analysis of model tests on piles in sand subjected to long-term lateral cyclic loading: Impact of the pile installation and application of the HCA model},
  author={Staubach, Patrick and Machaček, Jan and Sharif, Raihan and Wichtmann, Torsten},
  journal={Computers and Geotechnics},
  year={2021},
  pages={104018}
}
    6. Patrick Staubach, Jan Machacek, Josefine Skowronek, Torsten Wichtmann. Vibratory pile driving in water-saturated sand: Back-analysis of model tests using a hydro-mechanically coupled CEL method. Soils and Foundations, 61: 144-159, 2021. https://doi.org/10.1016/j.sandf.2020.11.005
      [BibTeX] [Download PDF] 
      @article{staubach2021vibratory,
  title={Vibratory pile driving in water-saturated sand: Back-analysis of model tests using a hydro-mechanically coupled CEL method},
  author={Staubach, Patrick and Machacek, Jan and Josefine Skowronek and Wichtmann, Torsten},
  journal={Soils and Foundations},
  year={2021},
  pages={144-159},
  publisher={Elsevier}
}
    1. Jan Machacek. Contributions to the Numerical Modelling of Saturated and Unsaturated Soils. PhD thesis, Veröffentlichung des Instituts für Bodenmechanik und Felsmechanik am Karlsruher Institut für Technologie (KIT), 2020.
      [BibTeX] 
      @phdthesis{machacek2020contributions,
  title={Contributions to the Numerical Modelling of Saturated and Unsaturated Soils},
  author={Machacek, Jan},
  school={Veröffentlichung des Instituts für Bodenmechanik und Felsmechanik am Karlsruher Institut für Technologie (KIT)},
  year={2020}
}
    2. Patrick Staubach, Jan Machacek, Torsten Wichtmann. Validierung eines hochzyklischen Akkumulationsmodells anhand von Modellversuchen an Monopiles mit einer großen Anzahl an Belastungszyklen. Leipziger Kolloquium Forschung in der Geotechnik, 2020.[ Hochschule für Technik, Wirtschaft und Kultur Leipzig.]
      [BibTeX] [Download PDF] 
      @inproceedings{staubach2020validierung,
  title={Validierung eines hochzyklischen Akkumulationsmodells anhand von Modellversuchen an Monopiles mit einer großen Anzahl an Belastungszyklen},
  author={Staubach, Patrick and Machacek, Jan and Wichtmann, Torsten},
  booktitle={Leipziger Kolloquium Forschung in der Geotechnik},
  year={2020},
  publisher={Hochschule für Technik, Wirtschaft und Kultur Leipzig}
}
    1. Patrick Staubach, Jan Machaček. Einfluss der Relativbeschleunigung bei dynamischer Beanspruchung von Mehrphasenmedien am Beispiel der Vibrationsrammung. Fachsektionstagung Geotechnik, pages 340-345, 10, 2019.[ Deutsche Gesellschaft für Geotechnik e.V. (DGGT).]
      [BibTeX] [Download PDF] 
      @inproceedings{staubach2019einfluss,
  title={Einfluss der Relativbeschleunigung bei dynamischer Beanspruchung von Mehrphasenmedien am Beispiel der Vibrationsrammung},
  author={Staubach, Patrick and Machaček, Jan},
  booktitle={Fachsektionstagung Geotechnik},
  year={2019},
  pages={340-345},
  month={10},
  publisher={Deutsche Gesellschaft für Geotechnik e.V. (DGGT)}
}

      About numgeo

      Jan Machacek started the numgeo project in early 2017 during his time as a PhD researcher. Patrick Staubach joined the development of numgeo in 2018. Since then, numgeo is our joined effort to combine advanced element formulations and sophisticated constitutive models for the simulation of geotechnical boundary value problems. In the meantime, we are happy to have the active support in the development of new features in numgeo from: Merita Tafili, Antonia Nitsch and Christoph Schmüdderich