Prof. Dr.-Ing. Ellen Kuhl

2025

• Flaschel M., Martonová D., Veil C., Kuhl E.:
  Material Fingerprinting: A shortcut to material model discovery without solving optimization problems
  (2025)
  DOI: 10.48550/arXiv.2508.07831
• Flaschel M., Steinmann P., De Lorenzis L., Kuhl E.:
  Convex neural networks learn generalized standard material models
  In: Journal of the Mechanics and Physics of Solids 200 (2025), Art.Nr.: 106103
  ISSN: 0022-5096
  DOI: 10.1016/j.jmps.2025.106103
• Linka K., Holzapfel GA., Kuhl E.:
  Discovering uncertainty: Bayesian constitutive artificial neural networks
  In: Computer Methods in Applied Mechanics and Engineering 433 (2025), Art.Nr.: 117517
  ISSN: 0045-7825
  DOI: 10.1016/j.cma.2024.117517
• Martonová D., Goriely A., Kuhl E.:
  Generalized invariants meet constitutive neural networks: A novel framework for hyperelastic materials
  (2025)
  DOI: 10.48550/arXiv.2508.12063
• Martonová D., Peirlinck M., Holzapfel GA., Leyendecker S., Kuhl E.:
  Robust material model discovery for human myocardium
  30th Congress of the European Society of Biomechanics (ESB) (Zürich, Switzerland, 6. Juli 2025 – 9. Juli 2025)

2024

• Martonová D., Peirlinck M., Linka K., Holzapfel GA., Leyendecker S., Kuhl E.:
  Automated model discovery for human cardiac tissue
  conference, Netzwerktagung der Alexander von Humboldt Stiftung (Erlangen, 21. November 2024)
• Martonová D., Peirlinck M., Linka K., Holzapfel GA., Leyendecker S., Kuhl E.:
  Automated model discovery for human cardiac tissue: Discovering the best model and parameters
  In: Computer Methods in Applied Mechanics and Engineering 428 (2024), Art.Nr.: 117078
  ISSN: 0045-7825
  DOI: 10.1016/j.cma.2024.117078
• Martonová D., Peirlinck M., Linka K., Holzapfel GA., Leyendecker S., Kuhl E.:
  Constitutive neural networks for model discovery of myocardial tissue
  conference, CMBBE 2024 SYMPOSIUM, 19th International Symposium on Computer Methods in Biomechanics and Biomedical Engineering (Vancouver, 30. Juli 2024 – 1. August 2024)
• St. Pierre SR., Darwin EC., Adil D., Aviles MC., Date A., Dunne RA., Lall Y., Parra Vallecillo M., Perez Medina VA., Linka K., Levenston ME., Kuhl E.:
  The mechanical and sensory signature of plant-based and animal meat
  In: npj Science of Food 8 (2024), Art.Nr.: 94
  ISSN: 2396-8370
  DOI: 10.1038/s41538-024-00330-6

2020

• Budday S., Kuhl E.:
  Modeling the life cycle of the human brain
  In: Current Opinion in Biomedical Engineering (2020)
  ISSN: 2468-4511
  DOI: 10.1016/j.cobme.2019.12.009
  URL: https://www.sciencedirect.com/science/article/pii/S2468451119300832?via=ihub
• Budday S., Ovaert T., Holzapfel GA., Steinmann P., Kuhl E.:
  Fifty Shades of Brain: A Review on the Mechanical Testing and Modeling of Brain Tissue
  In: Archives of Computational Methods in Engineering 27 (2020), S. 1187–1230
  ISSN: 1134-3060
  DOI: 10.1007/s11831-019-09352-w
  URL: https://link.springer.com/article/10.1007/s11831-019-09352-w
• Budday S., Sarem M., Starck L., Sommer G., Pfefferle J., Phunchago N., Kuhl E., Paulsen F., Steinmann P., Shastri VP., Holzapfel GA.:
  Towards microstructure-informed material models for human brain tissue
  In: Acta Biomaterialia 104 (2020), S. 53-65
  ISSN: 1742-7061
  DOI: 10.1016/j.actbio.2019.12.030
  URL: https://www.sciencedirect.com/science/article/pii/S1742706119308682?via=ihub
• Holland MA., Budday S., Li G., Shen D., Goriely A., Kuhl E.:
  Folding drives cortical thickness variations
  In: European Physical Journal – Special Topics 229 (2020), S. 2757-2778
  ISSN: 1951-6355
  DOI: 10.1140/epjst/e2020-000001-6

2019

• Budday S., Holzapfel GA., Steinmann P., Kuhl E.:
  Challenges and perspectives in brain tissue testing and modeling
  In: Proceedings in Applied Mathematics and Mechanics accepted (2019)
  ISSN: 1617-7061
  DOI: 10.1002/pamm.201900269

2018

• Budday S., Sommer G., Paulsen F., Holzapfel GA., Steinmann P., Kuhl E.:
  Region‐ and loading‐specific finite viscoelasticity of human brain tissue
  In: Proceedings in Applied Mathematics and Mechanics 18 (2018), Art.Nr.: e201800169
  ISSN: 1617-7061
  DOI: 10.1002/pamm.201800169
• Holland M., Goriely A., Budday S., Kuhl E.:
  Symmetry Breaking in Wrinkling Patterns: Gyri Are Universally Thicker than Sulci
  In: Physical Review Letters 121 (2018), Art.Nr.: 228002
  ISSN: 0031-9007
  DOI: 10.1103/PhysRevLett.121.228002

2017

• Budday S., Andres S., Walter B., Steinmann P., Kuhl E.:
  Wrinkling instabilities in soft bi-layered systems
  In: Philosophical Transactions of the Royal Society A-Mathematical Physical and Engineering Sciences 375 (2017)
  ISSN: 1364-503X
  DOI: 10.1098/rsta.2016.0163
• Budday S., Sommer G., Birkl C., Langkammer C., Haybaeck J., Kohnert J., Bauer M., Paulsen F., Steinmann P., Kuhl E., Holzapfel GA.:
  Mechanical characterization of human brain tissue
  In: Acta Biomaterialia 48 (2017), S. 319–340
  ISSN: 1742-7061
  DOI: 10.1016/j.actbio.2016.10.036
• Budday S., Sommer G., Haybaeck J., Steinmann P., Holzapfel GA., Kuhl E.:
  Rheological characterization of human brain tissue
  In: Acta Biomaterialia (2017)
  ISSN: 1742-7061
  DOI: 10.1016/j.actbio.2017.06.024
• Budday S., Sommer G., Holzapfel GA., Steinmann P., Kuhl E.:
  Viscoelastic parameter identification of human brain tissue
  In: Journal of the Mechanical Behavior of Biomedical Materials 74 (2017), S. 463-476
  ISSN: 1751-6161
  DOI: 10.1016/j.jmbbm.2017.07.014
• Mihai LA., Budday S., Holzapfel GA., Kuhl E., Goriely A.:
  A family of hyperelastic models for human brain tissue
  In: Journal of the Mechanics and Physics of Solids 106 (2017), S. 60-79
  ISSN: 0022-5096
  DOI: 10.1016/j.jmps.2017.05.015
• Weickenmeier J., de Rooij R., Budday S., Ovaert T., Kuhl E.:
  The mechanical importance of myelination in the central nervous system
  In: Journal of the Mechanical Behavior of Biomedical Materials (2017)
  ISSN: 1751-6161
  DOI: 10.1016/j.jmbbm.2017.04.017

2016

• Weickenmeier J., de Rooij R., Budday S., Steinmann P., Ovaert T., Kuhl E.:
  Brain stiffness increases with myelin content
  In: Acta Biomaterialia (2016), S. 265–272
  ISSN: 1742-7061
  DOI: 10.1016/j.actbio.2016.07.040

2015

• Budday S., Kuhl E., Hutchinson JW.:
  Period-doubling and period-tripling in growing bilayered systems
  In: Philosophical Magazine – (2015), S. 1-17
  ISSN: 1478-6443
  DOI: 10.1080/14786435.2015.1014443
• Budday S., Nay R., de Rooij R., Steinmann P., Wyrobek T., Ovaert T., Kuhl E.:
  Mechanical properties of gray and white matter brain tissue by indentation
  In: Journal of the Mechanical Behavior of Biomedical Materials (2015), S. 318-330
  ISSN: 1751-6161
  DOI: 10.1016/j.jmbbm.2015.02.024
• Budday S., Steinmann P., Goriely A., Kuhl E.:
  Size and curvature regulate pattern selection in the mammalian brain
  In: Extreme Mechanics Letters 4 (2015), S. 193-198
  ISSN: 2352-4316
  DOI: 10.1016/j.eml.2015.07.004
• Budday S., Steinmann P., Kuhl E.:
  Physical biology of human brain development
  In: Frontiers in Cellular Neuroscience 9 (2015), S. 1-13
  ISSN: 1662-5102
  DOI: 10.3389/fncel.2015.00257
• Budday S., Steinmann P., Kuhl E.:
  Secondary instabilities modulate cortical complexity in the mammalian brain
  In: Philosophical Magazine 95 (2015), S. 3244–3256
  ISSN: 1478-6435
  DOI: 10.1080/14786435.2015.1024184
• Budday S., Steinmann P., Kuhl E., Andres S.:
  Primary and secondary instabilities in soft bilayered systems
  GAMM Jahrestagung (Lecce)
  In: PAMM, Weinheim: 2015
  DOI: 10.1002/pamm.201510131
• Goriely A., Budday S., Kuhl E.:
  Chapter two-neuromechanics: From neurons to brain
  In: Advances in Applied Mechanics 48 (2015), S. 79–139
  ISSN: 0065-2156
  DOI: 10.1016/bs.aams.2015.10.002

2014

• Budday S., Kuhl E., Raybaud C.:
  A mechanical model predicts morphological abnormalities in the developing human brain
  In: Scientific Reports 4 (2014)
  ISSN: 2045-2322
  DOI: 10.1038/srep05644
• Budday S., Steinmann P., Kuhl E.:
  A mechanical approach to explain cortical folding phenomena in healthy and diseased brains
  GAMM 2014 (Erlangen, Germany, 10. März 2014 – 14. März 2014)
  In: PAMM, Erlangen, Germany: 2014
  DOI: 10.1002/pamm.201410038
• Budday S., Steinmann P., Kuhl E.:
  The role of mechanics during brain development
  In: Journal of the Mechanics and Physics of Solids 72 (2014), S. 75-92
  ISSN: 0022-5096
  DOI: 10.1016/j.jmps.2014.07.010
• Javili A., Steinmann P., Kuhl E.:
  A novel strategy to identify the critical conditions for growth-induced instabilities
  In: Journal of the Mechanical Behavior of Biomedical Materials 29 (2014), S. 20-32
  ISSN: 1751-6161
  DOI: 10.1016/j.jmbbm.2013.08.017
• Vogel FA., Göktepe S., Steinmann P., Kuhl E.:
  Modeling and simulation of viscous electro-active polymers
  In: European Journal of Mechanics A-Solids 48 (2014), S. 112-128
  ISSN: 0997-7538
  DOI: 10.1016/j.euromechsol.2014.02.001

2013

• Steinmann P., Papastavrou A., Kuhl E.:
  On the mechanics of continua with boundary energies and growing surfaces
  In: Journal of the Mechanics and Physics of Solids 61 (2013), S. 1446-1463
  ISSN: 0022-5096
  DOI: 10.1016/j.jmps.2013.01.007

2010

• Rajagopal A., Fischer P., Kuhl E., Steinmann P.:
  Natural element analysis of the Cahn-Hilliard phase-field model
  In: Computational Mechanics 46 (2010), S. 471-493
  ISSN: 0178-7675
  DOI: 10.1007/s00466-010-0490-4

2009

• Jäger P., Steinmann P., Kuhl E.:
  Towards the treatment of boundary conditions for global crack path tracking in three-dimensional brittle fracture
  In: Computational Mechanics 45 (2009), S. 91-107
  ISSN: 0178-7675
  DOI: 10.1007/s00466-009-0417-0

2007

• Mergheim J., Kuhl E., Steinmann P.:
  Towards the Algorithmic Treatment of 3D Strong Discontinuities
  In: Communications in Numerical Methods in Engineering 23 (2007), S. 97-108
  ISSN: 1069-8299
  DOI: 10.1002/cnm.885
• Mergheim J., Steinmann P., Kuhl E., Jäger P.:
  Modelling and Computation of 3D Discontinuities in Solids
  Berlin, (Germany)
  In: Proceedings GAMM’06 2007
  DOI: 10.1002/pamm.200610172

2006

• Kuhl E., Jäger P., Mergheim J., Steinmann P.:
  On the Application of Hansbo’s Method for Interface Problems
  IUTAM Symposium on Discretization Methods for Evolving Discontinuities (Lyon, France)
  In: Proceedings of IUTAM Symposium on Discretization Methods for Evolving Discontinuities 2006

2005

• Mergheim J., Kuhl E., Steinmann P.:
  A Finite Element Method for the Computational Modelling of Cohesive Cracks
  In: International Journal for Numerical Methods in Engineering 63 (2005), S. 276-289
  ISSN: 0029-5981
  DOI: 10.1002/nme.1286
• Mergheim J., Steinmann P., Kuhl E.:
  A finite element method for cohesive crack modelling
  Luxembourg, (28.03-)
  In: Proceedings GAMM’05 2005
  DOI: 10.1002/pamm.200410156

2004

• Mergheim J., Kuhl E., Steinmann P.:
  A Hybrid Discontinuous Galerkin Interface Method for the Computational Modelling of Failure
  In: Communications in Numerical Methods in Engineering 20 (2004), S. 511-519
  ISSN: 1069-8299
  DOI: 10.1002/cnm.689
• Mergheim J., Steinmann P., Kuhl E.:
  A new approach for the FE modelling of cohesive cracks
  ICTAM XXI (Warszawa, Poland)
  In: Proceedings of 21st International Congress of Theoretical and Applied Mechanics 2004

2003

• Mergheim J., Kuhl E., Steinmann P.:
  Modelling of failure with a hybrid dG/ interface approach
  Padua, (Italien)
  In: Proceedings GAMM’03 2003
• Mergheim J., Steinmann P., Kuhl E.:
  Computational Modelling of Failure with the Discontinuous Galerkin Method
  LUXFEM I (Luxembourg, Luxembourg)
  In: Proceedings of the 1st International LUXFEM Conference 2003
  DOI: 10.1002/pamm.200310425