This image shows Arndt Wagner

Arndt Wagner

apl. Prof. Dr.-Ing.

Senior Lecturer
Institute of Applied Mechanics (MIB)
Chair of Continuum Mechanics
[Photo: Max Kovalenko]

Contact

+49 711 685 66375

Pfaffenwaldring 7
70569 Stuttgart
Germany
Room: 3.106

Office Hours

by arrangement

Subject

Continuum mechanics and material theory
  • Nonlinear continuum thermodynamics
  • Extended continuum mechanics of multi-component materials within the framework of the Theory of Porous Media (TPM)
Fracture mechanics of porous materials
  • Macroscopic modelling using the TPM with an embedded phase-field approach for a diffuse fracture description
  • Modelling and simulation of hydraulically induced cracks and corresponding flow fields in fully and partially saturated porous media
  • Investigation of global (boundary conditions) and local (heterogeneous material properties) stress states on the crack evolution
  • Estimation of model parameters through a combined study of simulations and experiments 
Continuum biomechanics
  • Theoretical description of coupled deformation, flow and diffusion processes in biological tissues using the TPM
  • Data-integrated modelling approaches to use patient-specific medical imaging data (e.g. CT, MRI, DTI)
Numerics and simulation
  • Monolithic solution strategies for coupled problems using mixed finite element (FE) methods
  • Application of model-order reduction techniques
  • Implementation of material models in the institute's FE program package PANDAS
 

  1. 2024

    1. Wang, J., Sonntag, A., Lee, D., Xotta, G., Salomoni, V. A., Steeb, H., Wagner, A., & Ehlers, W. (2024). Modelling and simulation of natural hydraulic fracturing applied to experiments on natural sandstone cores. Acta Geotechnica, 19, 7709–7725. https://doi.org/10.1007/s11440-024-02351-7

  2. 2023

    1. Wagner, A., Sonntag, A., Reuschen, S., Nowak, W., & Ehlers, W. (2023). Hydraulically induced fracturing in heterogeneous porous media using a TPM-phase-field model and geostatistics. Proceedings in Applied Mathematics and Mechanics, 23, e202200118. https://doi.org/10.1002/pamm.202200118
    2. Sonntag, A., Wagner, A., & Ehlers, W. (2023). Dynamic hydraulic fracturing in partially saturated porous media. Computer Methods in Applied Mechanics and Engineering, 414, 116121. https://doi.org/10.1016/j.cma.2023.116121
    3. Suditsch, M., Ricken, T., & Wagner, A. (2023). Patient-specific simulation of brain tumour growth and regression. Proceedings in Applied Mathematics and Mechanics, 23, e202200213. https://doi.org/10.1002/pamm.202200213
    4. Trivedi, Z., Gehweiler, D., Wychowaniec, J. K., Ricken, T., Gueorguiev, B., Wagner, A., & Röhrle, O. (2023). A continuum mechanical porous media model for vertebroplasty: Numerical simulations and experimental validation. Biomechanics and Modeling in Mechanobiology, 22, 1253–1266. https://doi.org/10.1007/s10237-023-01715-4
    5. Trivedi, Z., Gehweiler, D., Wychowaniec, J. K., Ricken, T., Gueorguiev, B., Wagner, A., & Röhrle, O. (2023). Analysing the bone cement flow in the injection apparatus during vertebroplasty. Proceedings in Applied Mathematics and Mechanics, 23, e202200295. https://doi.org/10.1002/pamm.202200295

  3. 2022

    1. Eurich, L., Schott, R., Shahmoradi, S., Wagner, A., Borja, R. I., Roth-Nebelsick, A., & Ehlers, W. (2022). A thermodynamically consistent quasi-double-porosity thermo-hydro-mechanical model for cell dehydration of plant tissues at subzero temperatures. Archive of Applied Mechanics, 92, 529–557. https://doi.org/10.1007/s00419-021-01947-9
    2. Ehlers, W., Sonntag, A., & Wagner, A. (2022). On Hydraulic Fracturing in Fully and Partially Saturated Brittle Porous Material (F. Aldakheel, B. Hudobivnik, M. Soleimani, H. Wessels, C. Weißenfels, & M. Marino, Eds.; pp. 111–119). Springer, Cham. https://doi.org/10.1007/978-3-030-87312-7_12
    3. Ehlers, W., Sonntag, A., & Wagner, A. (2022). On hydraulic fracturing in fully and partially saturated brittle porous material. In F. Aldakheel, B. Hudobivnik, M. Soleimani, H. Wessels, C. Weißenfels, & M. Marino (Eds.), Current Trends and Open Problems in Computational Mechanics (pp. 111–119). Springer International Publishing. https://doi.org/10.1007/978-3-030-87312-7_12
    4. Ehlers, W., Morrison (Rehm), M., Schröder, P., Stöhr, D., & Wagner, A. (2022). Multiphasic modelling and computation of metastatic lung-cancer cell proliferation and atrophy in brain tissue based on experimental data. Biomechanics and Modeling in Mechanobiology, 21, 277–315. https://doi.org/10.1007/s10237-021-01535-4
    5. Ehlers, W., Schröder, P., & Wagner, A. (2022). A Contribution to the Medication-Induced Treatment of Brain-Tumour Metastases. In G. Sommer, D. Ch. Haspinger, K. Li, & R. W. Ogden (Eds.), Solid (Bio)mechanics: Challenges of the Next Decade (Vol. 24, pp. 353–368). Springer, Cham. https://doi.org/10.1007/978-3-030-92339-6_15

  4. 2021

    1. Trivedi, Z., Bleiler, C., Gehweiler, D., Gueorguiev-Rüegg, B., Ricken, T., Wagner, A., & Röhrle, O. (2021). Simulating vertebroplasty: A biomechanical challenge. Proceedings in Applied Mathematics and Mechanics, 20, Article 1.
    2. Lambers, L., Suditsch, M., Wagner, A., & Ricken, T. (2021). A Multiscale and Multiphase Model of Function-Perfusion Growth Processes in the Human Liver. Proceedings in Applied Mathematics and Mechanics, 20, Article 1.
    3. Sonntag, A., Wagner, A., & Ehlers, W. (2021). Modelling fluid-driven fractures for partially saturated porous materials. Proceedings in Applied Mathematics and Mechanics, 20, Article 1.
    4. Suditsch, M., Schröder, P., Lambers, L., Ricken, T., Ehlers, W., & Wagner, A. (2021). Modelling basal-cell carcinoma behaviour in avascular skin. Proceedings in Applied Mathematics and Mechanics, 20, Article 1.
    5. Suditsch, M., Lambers, L., Ricken, T., & Wagner, A. (2021). Application of a continuum-mechanical tumour model to brain tissue. Proceedings in Applied Mathematics and Mechanics, 21, e202100204. https://doi.org/10.1002/pamm.202100204
    6. Ehlers, W., Sonntag, A., & Wagner, A. (2021). Hydraulic fracturing under fully and partially saturated conditions. Published in Accordance with the Decision of the Academic Council of the State Higher Educational Institution ``Donetsk National Technical University″, 1, Article 17. https://doi.org/10.31474/2074-7888-2021-1-47-51
    7. Eurich, L., Wagner, A., & Ehlers, W. (2021). Water management of frost-resistant plant tissues as a consequence of extracellular ice formation. Proceedings in Applied Mathematics and Mechanics, 20, Article 1.
    8. Wagner, A. (2021). Continuum Mechanics of Multicomponent Materials - Modelling, Numerics and Applications for Biological Materials in the Framework of the Theory of Porous Media. Habilitation thesis, University of Stuttgart. http://dx.doi.org/10.18419/opus-11808
    9. Wagner, A., Eggenweiler, E., Weinhardt, F., Trivedi, Z., Krach, D., Lohrmann, C., Jain, K., Karadimitriou, N., Bringedal, C., Voland, P., Holm, C., Class, H., Steeb, H., & Rybak, I. (2021). Permeability estimation of regular porous structures: a comparison of methods. Transport in Porous Media, 138, 1–23. https://doi.org/10.1007/s11242-021-01586-2

  5. 2020

    1. Ehlers, W., & Wagner, A. (2020). Coupled problems in biological systems. In H. Altenbach & A. Öchsner (Eds.), Encyclopedia of Continuum Mechanics (pp. 453–465). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-55771-6_32

  6. 2019

    1. Trivedi, Z., Bleiler, C., Wagner, A., & Röhrle, O. (2019). A parametric permeability study for a simplified vertebra based on regular microstructures. Proceedings in Applied Mathematics and Mechanics, 19, e201900383.
    2. Schröder, P., Wagner, A., Stöhr, D., Rehm, M., & Ehlers, W. (2019). Continuum-mechanical modelling of apoptosis. Proceedings in Applied Mathematics and Mechanics, 19, e201900310.
    3. Eurich, L., Shahmoradi, S., Wagner, A., Borja, R., & Ehlers, W. (2019). Simulating plant-cell dehydration using a double-porosity formulation based on the Theory of Porous Media. Proceedings in Applied Mathematics and Mechanics, 19, e201900243.
    4. Ehlers, W., & Wagner, A. (2019). Modelling and simulation methods applied to coupled problems in porous-media mechanics. Archive of Applied Mechanics, 89, 609–628. https://doi.org/10.1007/s00419-019-01520-5

  7. 2018

    1. Wagner, A., Fink, D., & Ehlers, W. (2018). Efficient numerical simulations of drug delivery in multi-component brain tissue. Proceedings in Applied Mathematics and Mechanics, 18, e201800127.
    2. Schröder, P., Wagner, A., Stöhr, D., Rehm, M., Jensch, A., Radde, N., & Ehlers, W. (2018). Modelling of lung-metastases apoptosis within brain tissue. Proceedings in Applied Mathematics and Mechanics, 18, e201800323.
    3. Fink, D., Wagner, A., & Ehlers, W. (2018). Application-driven model reduction for the simulation of therapeutic infusion processes in multi-component brain tissue. Journal of Computational Science, 24, 101–115. https://doi.org/10.1016/j.jocs.2017.10.002
    4. Eurich, L., Wagner, A., & Ehlers, W. (2018). Coupled mass interactions in plant tissues under frost conditions. Proceedings in Applied Mathematics and Mechanics, 18, e201800143.
    5. Ehlers, W., & Wagner, A. (2018). Multiscale Aspects in the Multiphasic Modelling of Human Brain Tissue. In P. Wriggers & T. Lenarz (Eds.), Biomedical Technology (Vol. 84, pp. 3–13). Springer, Cham. https://doi.org/10.1007/978-3-319-59548-1_1

  8. 2017

    1. Schröder, P., Wagner, A., Stöhr, D., Rehm, M., & Ehlers, W. (2017). Variation of different growth descriptions in a metastatic proliferation model. In M. von Scheven, M.-A. Keip, & N. Karajan (Eds.), Proceedings of the 7th GACM Colloquium on Computational Mechanics (pp. 259–262).
    2. Eurich, L., Wagner, A., & Ehlers, W. (2017). Modelling functional properties of frost-resistant plant tissues for transfer to construction materials. In M. von Scheven, M.-A. Keip, & N. Karajan (Eds.), Proceedings of the 7th GACM Colloquium on Computational Mechanics (pp. 238–241).
    3. Schott, R., Eurich, L., Wagner, A., Roth-Nebelsick, A., & Ehlers, W. (2017). Gefrieren - aber richtig. In J. Knippers, U. Schmid, & T. Speck (Eds.), Baubionik - Biologie beflügelt Architektur, Stuttgarter Beiträge zur Naturkunde (Vol. 82, pp. 62–71). Naturkundemuseum Stuttgart.
    4. Schröder, P., Wagner, A., Stöhr, D., Rehm, M., & Ehlers, W. (2017). Data-driven simulation of metastatic processes within brain tissue. Proceedings in Applied Mathematics and Mechanics, 17, 221–222.
    5. Eurich, L., Wagner, A., & Ehlers, W. (2017). Numerical realisation of freezing processes in frost-resistant plant tissues. Proceedings in Applied Mathematics and Mechanics, 17, 185–186.
    6. Eurich, L., Wagner, A., & Ehlers, W. (2017). A new material description for plant tissues under frost exposure. In M. Papadrakakis, E. Onate, & B. Schrefler (Eds.), Proceedings of the VII International Conference on Coupled Problems in Science and Engineering (pp. 275–286).
    7. Wagner, A., Fink, D., Schröder, P., & Ehlers, W. (2017). Towards a virtual mechanical human brain. Proceedings in Applied Mathematics and Mechanics, 17, 225–226.

  9. 2016

    1. Eurich, L., Schott, R., Wagner, A., Roth-Nebelsick, A., & Ehlers, W. (2016). Fundamentals of heat and mass transport in frost-resistant plant tissues. In J. Knippers, K. Nickel, & T. Speck (Eds.), Biomimetic Research for Architecture and Building Construction (pp. 97–108). Springer, Cham. https://doi.org/10.1007/978-3-319-46374-2_6
    2. Ehlers, W., & Wagner, A. (2016). Die Bedeutung der Mechanik für die Gesellschaft: gestern heute und morgen. Österreichische Ingenieur- Und Architekten-Zeitschrift (OIAZ), 161, 167–171.
    3. Ehlers, W., & Wagner, A. (2016). Simulation technology applied to coupled problems in continuum mechanics. In A. Zingoni (Ed.), Insights and Innovations in Structural Engineering, Mechanics and Computation (pp. 378–381). Taylor & Francis Group.
    4. Eurich, L., Schott, R., Wagner, A., Roth-Nebelsick, A., & Ehlers, W. (2016). From functional properties of frost-resistant plant tissues towards customised construction materials-A continuum-mechanical approach. Proceedings in Applied Mathematics and Mechanics, 16, 81–82.
    5. Schröder, P., Wagner, A., & Ehlers, W. (2016). Multi-component modelling and simulation of metastases proliferation within brain tissue. Proceedings in Applied Mathematics and Mechanics, 16, 101–102.

  10. 2015

    1. Ehlers, W., & Wagner, A. (2015). Multi-component modelling of human brain tissue: a contribution to the constitutive and computational description of deformation, flow and diffusion processes with application to the invasive drug-delivery problem. Computer Methods in Biomechanics and Biomedical Engineering, 18, Article 8. https://doi.org/10.1080/10255842.2013.853754
    2. Schröder, P., Wagner, A., & Ehlers, W. (2015). Towards the continuum-mechanical modelling of metastatic tumour growth in the brain. Proceedings in Applied Mathematics and Mechanics, 15, 107–108.
    3. Bleiler, C., Wagner, A., Stadelmann, V. A., Windolf, M., Köstler, H., Boger, A., Gueorguiev-Rüegg, B., Ehlers, W., & Röhrle, O. (2015). Multiphasic modelling of bone-cement injection into vertebral cancellous bone. International Journal for Numerical Methods in Biomedical Engineering, 31, 37–57. https://doi.org/10.1002/cnm.2696
    4. Wagner, A., & Ehlers, W. (2015). Theoretical and numerical aspects in the multiphasic modelling of human brain tissue. Proceedings in Applied Mathematics and Mechanics, 15, 117–118.

  11. 2014

    1. Wagner, A., & Ehlers, W. (2014). On the multi-component modelling of human brain tissue to survey clinical interventions. Proceedings in Applied Mathematics and Mechanics, 14, 125–126.
    2. Wagner, A. (2014). Extended modelling of the multiphasic human brain tissue with application to drug-infusion processes. Dissertation thesis, University of Stuttgart.
    3. Bleiler, C., Wagner, A., Stadelmann, V., Windolf, M., Gueorguiev-Rüegg, B., Köstler, H., Boger, A., Ehlers, W., & Röhrle, O. (2014). Multiphasic Modelling of the Vertebral Bone for Cement-Injection Studies. Proceedings in Applied Mathematics and Mechanics, 14, 117–118.

  12. 2013

    1. Ehlers, W., & Wagner, A. (2013). Constitutive and computational aspects in tumor therapies of multiphasic brain tissue. In G. Holzapfel & E. Kuhl (Eds.), Computer Models in Biomechanics (pp. 263–276). Springer, Dordrecht. https://doi.org/10.1007/978-94-007-5464-5_19
    2. Wagner, A., Bleiler, C., Stadelmann, V., Windolf, M., Gueorguiev-Rüegg, B., Köstler, H., Boger, A., Röhrle, O., & Ehlers, W. (2013). Porous-media simulation of bone-cement spreading during vertebroplasty. Proceedings in Applied Mathematics and Mechanics, 13, 67–68.

  13. 2012

    1. Ehlers, W., & Wagner, A. (2012). Multiphasic Modelling of Human Brain Tissue with Application to Convection-Enhanced Delivery of Therapeutics. In W. Ehlers & B. Markert (Eds.), Proceedings of the 3rd GAMM Seminar on Continuum Biomechanics (pp. 17–38).
    2. Wagner, A., & Ehlers, W. (2012). Multiphasic modelling of human brain tissue for intracranial drug-infusion studies. Proceedings in Applied Mathematics and Mechanics, 12, 107–110.

  14. 2011

    1. Wagner, A., & Ehlers, W. (2011). Computational modelling of drug infusion into the anisotropic white-matter tracts of the human brain. Proceedings in Applied Mathematics and Mechanics, 11, 133–134.

  15. 2010

    1. Wagner, A., & Ehlers, W. (2010). Continuum-Mechanical Analysis of Human Brain Tissue. Proceedings in Applied Mathematics and Mechanics, 10, 99–100.

  16. 2008

    1. Wagner, A., & Ehlers, W. (2008). A porous media model to describe the behaviour of brain tissue. Proceedings in Applied Mathematics and Mechanics, 8, 10201–10202.
Teaching Repository:
  • Technische Mechanik II
  • Technische Grundlagen III: Einführung in die Technische Mechanik
  • Erdbebenbeanspruchung von Bauwerken
  • Erdbebensicheres Bauen
  • Einführung in die Kontinuumsmechanik von Mehrphasenmaterialien
  • Elemente der nichtlinearen Kontinuumsthermodynamik
  • Ausgewählte Kapitel der Strömungsmechanik
Accompanied Teaching (organisation and realisation of tutorials and exercises):
  • Höhere Mechanik IIB - Einführung in die Kontinuumsmechanik von Mehrphasenmaterialien
  • Höhere Mechanik IIA - Elemente der nichtlinearen Kontinuumsthermodynamik
  • Höhere Mechanik IB - Numerische Methoden in der Mechanik
  • Höhere Mechanik IA - Einführung in die Kontinuumsmechanik und in die Materialtheorie
  • Technische Mechanik IV
  • Technische Mechanik III
  • Technische Mechanik II
  • Technische Mechanik I
  • Mechanik der inkompressiblen Fluide
  • Elemente der Technischen Mechanik - Teil 2
  • Elemente der Technischen Mechanik - Teil 1
2000 Higher education entrance qualification (A level)
2000-2001 Community service: agricultural activity 
2001-2006 Studies of Civil Engineering at the University of Stuttgart
2006 Diploma in Civil Engineering (Dipl.-Ing.) at the University of Stuttgart
2006-2013 Research Assistant at the University of Stuttgart, Institute of Applied Mechanics (CE), Chair of Continuum Mechanics
2013 Appointment as "Akademischer Rat" at the University of Stuttgart, Institute of Applied Mechanics (CE), Chair of Continuum Mechanics
2014 Doctoral degree (Dr.-Ing.) at the Faculty of Civil and Environmental Engineering, University of Stuttgart
2017 Appointment as "Akademischer Oberrat" at the University of Stuttgart, Institute of Applied Mechanics (CE), Chair of Continuum Mechanics
2021 Habilitation in the field "Continuum Mechanics" at the Stuttgart Center for Simulation Science and the Faculty of Civil and Environmental Engineering, University of Stuttgart
2021 Appointment as "Privatdozent" of "Continuum Mechanics"
2024 Appointment as "apl. Professor" of "Continuum Mechanics"
 

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