IAM - Computational Materials Science
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IAM - Computational Materials Science
IAM - Computational Materials Science
Willkommen am IAM-CMS
Personen
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


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
Data-driven exploration and continuum modeling of dislocation networks.
Sudmanns, M.; Bach, J.; Weygand, D.; Schulz, K.
2020. doi:10.5445/IR/1000119138
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. 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
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 [in press].
Zoller, K.; Schulz, K.
2019. Proceedings in applied mathematics and mechanics, 19 (1)
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, Cham. 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
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, IEEE, Piscataway (NJ). 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. KIT, Karlsruhe. 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, University of Stuttgart
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, University of Stuttgart
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
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
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, Berlin
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, ASME, New York (NY). 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, Hannover
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, ASME, New York (NY)
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, SPIE, Bellingham (Wash.)
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, Barcelona
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, Zagreb