Prof. PD. Dr.-Ing. Katrin Schulz
- Room: 105
- Phone: +49 721 608-45871
- Fax: +49 721 608-44364
- katrin schulzIdo9∂kit edu
Geb. 30.48
Research
Head of the research group Scale bridging computational methods
Privatdozent for materials mechanics (habilitation 2020, funded by the Margarete von Wrangell fellowship of the state Baden-Württemberg)
Professor for mechanics and materials at the University of Applied Sciences 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
Publications
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
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, 210. doi:10.1557/s43578-020-00050-z
Becker, S.; Schulz, K.; Scherhaufer, D.; Gumbsch, P.; Greiner, C.
2021. Journal of Materials Research, 210. 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
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
Horny, D.; Schukraft, J.; Weidenmann, K. A.; Schulz, K.
2020. Advanced engineering materials, 22 (7), Art.Nr. 1901556. doi:10.1002/adem.201901556
Analysis of single crystalline microwires under torsion using a dislocation-based continuum formulation.
Zoller, K.; Schulz, K.
2020. Acta materialia, 191, 198–210. doi:10.1016/j.actamat.2020.03.057
Zoller, K.; Schulz, K.
2020. Acta materialia, 191, 198–210. doi:10.1016/j.actamat.2020.03.057
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
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
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
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
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
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 mesoscale continuum approach of dislocation dynamics and the approximation by a Runge-Kutta discontinuous Galerkin method.
Schulz, K.; Wagner, L.; Wieners, C.
2019. International journal of plasticity, 120, 248–261. doi:10.1016/j.ijplas.2019.05.003
Schulz, K.; Wagner, L.; Wieners, C.
2019. International journal of plasticity, 120, 248–261. doi:10.1016/j.ijplas.2019.05.003
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
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
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
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
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
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
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
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
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
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
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
Schulz, K.; Wagner, L.; Wieners, C.
2016. Proceedings in applied mathematics and mechanics, 16 (1), 403–404. doi:10.1002/pamm.201610190
The role of dislocation pile-up in flow stress determination and strain hardening.
Zhu, Y.; Xiang, Y.; Schulz, K.
2016. Scripta materialia, 116, 53–56. doi:10.1016/j.scriptamat.2016.01.025
Zhu, Y.; Xiang, Y.; Schulz, K.
2016. Scripta materialia, 116, 53–56. doi:10.1016/j.scriptamat.2016.01.025
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/
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
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
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
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
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
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
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
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
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
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
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)
Schulz, K.; Klinkel, S.; Wagner, W.
2010. Karlsruher Institut für Technologie (KIT)
Theorie und Finite-Elemente-Modellierung geometrisch und materiell nichtlinearer piezoelektrischer Schalenstrukturen. PhD dissertation.
Schulz, K.
2010. Karlsruher Institut für Technologie (KIT)
Schulz, K.
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
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
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)
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)
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
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
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
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
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