Katrin Schulz

Prof. PD. Dr.-Ing. Katrin Schulz

  • Geb. 30.48

Forschung

Leiterin der Forschungsgruppe Scale bridging computational methods

Privatdozentin für Werkstoffmechanik (Habilitation am KIT 2020, gefördert im Rahmen des Margarete von Wrangell Fellowships des Landes Baden-Württemberg)

Professorin für Mechanik und Werkstoffkunde an der Hochschule Karlsruhe (HSKA)

 

Research interest:
Structural and material mechanics, materials science, data science, numerical methods, failure mechanisms, physically based material modeling, transition between micro- and macroscale in the simulation of the full structural behavior, homogenization techniques, multi-scale computation.

Lehrveranstaltungen

- Plastizität auf verschiedenen Skalen/Multi-scale plasticity
- Finite Elemente Workshop - Stoffgesetze (WS-deutsch, SS-englisch)
- Arbeitstechniken im Maschinenbau
- Angewandte Werkstoffsimulation

Publikationen


2024
Combining simulation and experimental data via surrogate modelling of continuum dislocation dynamics simulations
Katzer, B.; Betsche, D.; von Hoegen, F.; Jochum, B.; Böhm, K.; Schulz, K.
2024. Modelling and Simulation in Materials Science and Engineering, 32 (5), Art.-Nr.: 055026. doi:10.1088/1361-651X/ad4b4c
Towards an enhanced understanding of the particle size effect on conversion/alloying lithium-ion anodes
Asenbauer, J.; Horny, D.; Olutogun, M.; Schulz, K.; Bresser, D.
2024. Materials Futures, 3 (1), Art.-Nr.: 015101. doi:10.1088/2752-5724/ad1115
Irreversible evolution of dislocation pile-ups during cyclic microcantilever bending
Ugi, D.; Zoller, K.; Lukács, K.; Fogarassy, Z.; Groma, I.; Kalácska, S.; Schulz, K.; Ispánovity, P. D.
2024. Materials & Design, 238, 112682. doi:10.1016/j.matdes.2024.112682
A graph database for feature characterization of dislocation networks
Katzer, B.; Betsche, D.; Böhm, K.; Weygand, D.; Schulz, K.
2024. Scripta Materialia, 240, Art.-Nr.: 115841. doi:10.1016/j.scriptamat.2023.115841
2023
Characterization of Lomer junctions based on the Lomer arm length distribution in dislocation networks
Katzer, B.; Zoller, K.; Bermuth, J.; Weygand, D.; Schulz, K.
2023. Scripta Materialia, 226, Art.-Nr.: 115232. doi:10.1016/j.scriptamat.2022.115232
Classification of slip system interaction in microwires under torsion
Zoller, K.; Gruber, P.; Ziemann, M.; Görtz, A.; Gumbsch, P.; Schulz, K.
2023. Computational Materials Science, 216, Art.-Nr.: 111839. doi:10.1016/j.commatsci.2022.111839
Numerical and Experimental Investigation on the Self‐Healing Potential of Interpenetrating Metal–Ceramic Composites
Horny, D.; Schukraft, J.; Pieper, C.; Weidenmann, K. A.; Schulz, K.
2023. Advanced Engineering Materials, 25 (19), Art.-Nr.: 2300259. doi:10.1002/adem.202300259
2021
Microstructure evolution of compressed micropillars investigated by in situ HR-EBSD analysis and dislocation density simulations
Zoller, K.; Kalácska, S.; Ispánovity, P. D.; Schulz, K.
2021. Comptes rendus physique, 22 (S3), 1–27. doi:10.5802/crphys.55
Variations in strain affect friction and microstructure evolution in copper under a reciprocating tribological load
Becker, S.; Schulz, K.; Scherhaufer, D.; Gumbsch, P.; Greiner, C.
2021. Journal of Materials Research, 36, 970–981. doi:10.1557/s43578-020-00050-z
2020
Data-driven exploration and continuum modeling of dislocation networks
Sudmanns, M.; Bach, J.; Weygand, D.; Schulz, K.
2020. Modelling and simulation in materials science and engineering, 28 (6), Art. Nr.: 065001. doi:10.1088/1361-651X/ab97ef
Numerical and Experimental Characterization of Elastic Properties of a Novel, Highly Homogeneous Interpenetrating Metal Ceramic Composite
Horny, D.; Schukraft, J.; Weidenmann, K. A.; Schulz, K.
2020. Advanced engineering materials, 22 (7), Art.Nr. 1901556. doi:10.1002/adem.201901556
2019
Dislocation multiplication by cross-slip and glissile reaction in a dislocation based continuum formulation of crystal plasticity
Sudmanns, M.; Stricker, M.; Weygand, D.; Hochrainer, T.; Schulz, K.
2019. Journal of the mechanics and physics of solids, 132, Art. Nr.: 103695. doi:10.1016/j.jmps.2019.103695
A bottom-up continuum approach of crystal plasticity for the analysis of fcc microwires under torsion
Zoller, K.; Schulz, K.
2019. Proceedings in applied mathematics and mechanics, 19 (1), Art.Nr. e201900032. doi:10.1002/pamm.201900032
Dislocation multiplication by cross-slip and glissile reaction in a dislocation based continuum formulation of crystal plasticity
Sudmanns, M.; Stricker, M.; Weygand, D.; Hochrainer, T.; Schulz, K.
2019. Journal of the mechanics and physics of solids, 132, 103695
Data-driven crack assessment based on surface measurements
Schulz, K.; Kreis, S.; Trittenbach, H.; Böhm, K.
2019. Engineering fracture mechanics, 218, Article no: 106552. doi:10.1016/j.engfracmech.2019.106552
Mesoscale Simulation of Dislocation Microstructures at Internal Interfaces
Schulz, K.; Sudmanns, M.
2019. High Performance Computing in Science and Engineering’18 : Transactions of the High Performance Computing Center, Stuttgart (HLRS) 2018. Ed.: W.E. Nagel, 115–129, Springer. doi:10.1007/978-3-030-13325-2_7
A mechanism-based homogenization of a dislocation source model for bending
Schmitt, S.; Stricker, M.; Gumbsch, P.; Schulz, K.
2019. Acta materialia, 164, 663–672. doi:10.1016/j.actamat.2018.11.013
2018
Towards Simulation-Data Science : A Case Study on Material Failures
Trittenbach, H.; Gauch, M.; Böhm, K.; Schulz, K.
2018. IEEE 5th International Conference on Data Science and Advanced Analytics (DSAA), Turin, Italy, 1-3 Oct. 2018, 450–459, Institute of Electrical and Electronics Engineers (IEEE). doi:10.1109/DSAA.2018.00058
Dislocation multiplication in stage II deformation of fcc multi-slip single crystals
Stricker, M.; Sudmanns, M.; Schulz, K.; Hochrainer, T.; Weygand, D.
2018. Journal of the mechanics and physics of solids, 119, 319–333. doi:10.1016/j.jmps.2018.07.003
Plastic flow and dislocation strengthening in a dislocation density based formulation of plasticity
Sudmanns, M.; Gumbsch, P.; Schulz, K.
2018. Computational materials science, 151, 317–327. doi:10.1016/j.commatsci.2018.04.065
Discrete-Continuum Transition: A Discussion of the Continuum Limit
Schulz, K.; Schmitt, S.
2018. Technische Mechanik, 38 (1), 126–134. doi:10.24352/UB.OVGU-2018-012
Towards Simulation-Data Science : A Case Study on Material Failures
Trittenbach, H.; Gauch, M.; Böhm, K.; Schulz, K.
2018. Karlsruher Institut für Technologie (KIT). doi:10.5445/IR/1000079420
2017
A mechanism-based homogenization strategy for the determination of flow stress and strain hardening
Schulz, K.; Sudmanns, M.
2017. Proceedings in applied mathematics and mechanics, 17 (1), 107–110. doi:10.1002/pamm.201710031
Discussion of crack initiation in metal matrix composites
Sudmanns, M.; Schulz, K.
2017. Proceedings of the 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry, Stuttgart, Germany, 11th - 13th October 2017. Ed.: M. von Scheven, 296–299, Institute for Structural Mechanics
Data-driven crack assessment
Schulz, K.; Verrier, V.; Kreis, S.
2017. Proceedings of the 7th GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry, Stuttgart, Germany, 11th - 13th October 2017. Ed.: M. von Scheven, 292–295, Institute for Structural Mechanics
Dislocation-density based description of the deformation of a composite material
Schulz, K.; Sudmanns, M.; Gumbsch, P.
2017. Modelling and simulation in materials science and engineering, 25 (6), 064003. doi:10.1088/1361-651X/aa7a88
2016
A mesoscale approach for dislocation density motion using a Runge-Kutta discontinuous Galerkin method
Schulz, K.; Wagner, L.; Wieners, C.
2016. Proceedings in applied mathematics and mechanics, 16 (1), 403–404. doi:10.1002/pamm.201610190
2015
Discussion of the Evolution of Micro Cracks by Characterization and Modelling of Metal Matrix Composites Reinforced by Metallic Glass Particles
Schulz, K.; Lichtenberg, K.; Weidenmann, K. A.
2015. Proceedings to the 20th International Conference on Composite Materials, 19-24 July 2015, Copenhagen, Denmark, 1–12, http://www.iccm-central.org/
Internal stresses in a homogenized representation of dislocation microstructures
Schmitt, S.; Gumbsch, P.; Schulz, K.
2015. Journal of the Mechanics and Physics of Solids, 84, 528–544. doi:10.1016/j.jmps.2015.08.012
On slip transmission and grain boundary yielding
Stricker, M.; Gagel, J.; Schmitt, S.; Schulz, K.; Weygand, D.; Gumbsch, P.
2015. Meccanica, 51 (2), 271–278. doi:10.1007/s11012-015-0192-2
2014
Dipole formation and yielding in a two-dimensional continuum dislocation model
Dickel, D.; Schulz, K.; Schmitt, S.; Gumbsch, P.
2014. Physical Review B, 90 (9, Art.094118), 1–8. doi:10.1103/PhysRevB.90.094118
A Continuum Formulation of Stress Correlations of Dislocations in Two Dimensions
Dickel, D.; Schulz, K.; Schmitt, S.; Gumbsch, P.
2014. Technische Mechanik, 34 (3-4), 205–212
Analysis of dislocation pile-ups using a dislocation-based continuum theory
Schulz, K.; Dickel, D.; Schmitt, S.; Sandfeld, S.; Weygand, D.; Gumbsch, P.
2014. Modelling and Simulation in Materials Science and Engineering, 22 (2), 025008. doi:10.1088/0965-0393/22/2/025008
2013
Stress correlations of dislocations in a double-pileup configuration: A continuum dislocation density approach-Complas XII
Dickel, D.; Schulz, K.; Schmitt, S.; Gumbsch, P.
2013. Computational Plasticity XII: Fundamentals and Applications - Proceedings of the 12th International Conference on Computational Plasticity - Fundamentals and Applications, COMPLAS 2013 12th International Conference on Computational Plasticity: Fundamentals and Applications, COMPLAS 2013; Barcelona; Spain; 3 September 2013 - 5 September 2013, 862–871
Linking Micro- and Macroscopic Aspects of a Dislocation Based Continuum Model by Investigating the Dislocation Double Pileup
Schmitt, S.; Schulz, K.; Dickel, D.; Gumbsch, P.
2013. Special Issue: 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013; Editors: L. Cvetković, 13 (1), 273–274. doi:10.1002/pamm.201310132
2011
A Three-dimensional Continuum Theory of Dislocation Plasticity - Modelling and Application to a Composite
Schulz, K.; Sandfeld, S.; Gumbsch, P.
2011. Proceedings in applied mathematics and mechanics, 11 (1), 437–438. doi:10.1002/pamm.201110210
A finite element formulation for piezoelectric shell structures considering geometrical and material non-linearities
Schulz, K.; Klinkel, S.; Wagner, W.
2011. International Journal for Numerical Methods in Engineering, 87 (6), 491–520. doi:10.1002/nme.3113
An Electro-Mechanically Coupled FE-Formulation for Piezoelectric Shells
Wagner, W.; Schulz, K.; Klinkel, S.
2011. Recent Developments and Innovative Applications in Computational Mechanics. Ed.: D. Mueller-Hoeppe, 115–123, Springer-Verlag
2010
A Finite element formulation for piezoelectric shell structures considering geometrical and material nonlinearities
Schulz, K.; Klinkel, S.; Wagner, W.
2010. Karlsruher Institut für Technologie (KIT)
2009
Advanced Finite Element Formulation for Piezoelectric Smart Shell Structures Under Consideration of Geometrical Nonlinearity
Schulz, K.; Klinkel, S.; Wagner, W.
2009. Proceedings of the ASME International Mechanical Engineering Congress and Exposition 2008 (IMECE2008) October 31 - November 6, 2008, Boston, Massachusetts, USA. Vol. 12: Mechanics of solids, structures and fluids, 323–332, The American Society of Mechanical Engineers (ASME). doi:10.1115/IMECE2008-67335
A mixed piezoelectric shell formulation for geometrically and materially nonlinear applications
Schulz, K.; Klinkel, S.; Wagner, W.
2009. Program. 3rd GACM Colloquium on Computational Mechanics for Young Scientists from Academia and Industry. Leibniz Universität Hannover, September 21 - 23, 2009, German Association for Computational Mechanics
Advanced Finite Element Formulation for Piezoelectric Smart Shell Structures under Consideration of Geometrically Nonlinearity
Schulz, K.; Klinkel, S.; Wagner, W.
2009. Proceedings of the ASME International Mechanical Engineering Congress and Exposition - 2008. Presented at 2008 ASME International Mechanical Engineering Congress and Exposition, October 31 - November 6, 2008, Boston, Massachusetts, USA. Vol. 12: Mechanics of solids, structures and fluids, 323–332, The American Society of Mechanical Engineers (ASME)
2008
A geometrically nonlinear mixed finite element formulation for the simulation of piezoelectric shell structures
Schulz, K.; Klienkel, S.
2008. Sensors and smart structures technologies for civil, mechanical, and aerospace systems 2008. San Diego, California, USA, 10 - 13 March 2008, Society of Photo-optical Instrumentation Engineers (SPIE)
A piezoelectric finite shell element for the geometrically nonlinear analysis of sensors
Schulz, K.; Klinkel, S.; Wagner, W.
2008. 79th GAMM Annual Meeting of the International Association of Applied Mathematics and Mechanics. Bremen, Germany, 31 March - 4 April 2008
A geometrically nonlinear finite shell element for the analysis of piezoelectric smart structures
Schulz, K.; Klinkel, S.; Wagner, W.
2008. 8th World Congress on Computational Mechanics, WCCM8, 5th European Congress on Computational Methods in Applied Sciences and Engineering, ECCOMAS 2008 : Venice, Italy, 30 June - 4 July 2008. Ed.: B. A. Schrefler, CIMNE
2007
A mixed finite element formulation for piezoelectric shells
Schulz, K.; Klinkel, S.
2007. Proceedings in applied mathematics and mechanics, 7 (1), 4040027–4040028. doi:10.1002/pamm.2007 0 0 431
A piezoelectric shell element based on a mixed multi-field variational formulation
Schulz, K.; Klinkel, S.; Wagner, W.
2007. Proceedings of special workshop Advanced Numerical Analysis of shell-like Structures, Zagreb, Croatia, September 26-28, 2007. Ed.: Jurica Soric, 259–268, Croation Society of Mechanics