Matti Schneider Matti Schneider

Jun.-Prof. Dr. rer. nat. Matti Schneider

  • Karlsruher Institut für Technologie (KIT)
    Kaiserstraße 10
    Gebäude: 10.23
    76131 Karlsruhe

Curriculum Vitae

10/2004–01/2009 Studium Angewandte Mathematik, TU Bergakademie Freiberg, Diplom mit
Auszeichnung
04/2009–08/2012 Promotionsstipendiat der International Max-Planck Research School, Max-
Planck-Institut für Mathematik in den Naturwissenschaften Leipzig
09/2012–01/2013 Wissenschaftlicher Mitarbeiter, Abteilung Strömungs- und Materialsimulation,
Fraunhofer ITWM Kaiserslautern
01/2013 Promotion an der Universität Leipzig, Titel: The Leray-Serre spectral sequence
in Morse homology on Hilbert manifolds and in Floer homology on cotangent
bundles
02/2013-06/2015 Wissenschaftlicher Mitarbeiter am Institut für Strukturleichtbau, TU Chemnitz
07/2015-08/2017 Wissenschaftlicher Mitarbeiter, Fraunhofer ITWM Kaiserslautern, Abteilung
Strömungs- und Materialsimulation
seit 09/2017 Juniorprofessor für Computational Micromechanics, Karlsruher Institut für
Technologie (KIT)

Forschungsschwerpunkte

  • FFT-based computational homogenization methods
    (FFT-basierte numerische Homogenisierungsverfahren)
  • Microstructure generation
    (Mikrostrukturerzeugung)
  • Microstructure characterization
    (Mikrostrukturcharakterisierung)

Lehrveranstaltungen

Wintersemester 2021/22

  • Computational homogenization on digital image data... on tour
  • Rechnerunterstützte Mechanik I
  • Nichtlineare Optimierungsmethoden

Sommersemester 2021

  • Numerische Lösung Nichtlinearer Gleichungen
  • Digital Microstructure Characterization and Modeling

Wintersemester 2020/21

  • Computational homogenization on digital image data
  • Nichtlineare Optimierungsmethoden

Sommersemester 2020

  • Numerische Lösung Nichtlinearer Gleichungen
  • Digital Microstructure Characterization and Modeling

Wintersemester 2019/20

  • Computational homogenization on digital image data
  • Nichtlineare Optimierungsmethoden

Sommersemester 2019

  • Vorlesung Technische Mechanik II (TMII)
  • Blockseminar Homogenisierungsmethoden

Wintersemester 2018/19

  • Vorlesung Höhere Technische Festigkeitslehre (HTF)
  • Vorlesung Numerische Homogenisierung auf Realdaten (NHR)

Sommersemester 2018

  • Vorlesung Digitale Mikrostrukturcharakterisierung und -modellierung (MCM)

Wintersemester 2017/18

  • Vorlesung Numerische Homogenisierung auf Realdaten (NHR)
  • Übungen zu Numerische Homogenisierung auf Realdaten (NHR)

Betreuung studentischer Arbeiten

2021

Masterarbeit von Lennart Risthaus
Numerische Untersuchungen im Tensor-Train-Format
Betreuer:
Jun.-Prof. Dr. rer. nat. Matti Schneider
M.Sc. Felix Ernesti

 

2020

Masterarbeit
von Lars Schmelzle
Implementierung und Bewertung eines Deep Material Networks zur effektiven Beschreibung des Deformationsverhaltens kurzglasfaserverstärkter Thermoplaste
Betreuer:
Dr.-Ing. Fabian Welschinger (Robert Bosch GmbH)
Jun.-Prof. Dr. rer. nat. Matti Schneider
Prof. Dr.-Ing. habil. Thomas Böhlke


2018

Masterarbeit
von Christian Dorn
Discretization methods for thermal computational homogenization
Betreuer:
Jun.-Prof. Dr. rer. nat. Matti Schneider
Prof. Dr.-Ing. habil. Thomas Böhlke

Masterarbeit von Felix Ernesti
An FFT-based solver for brittle fracture on heterogeneous microstructure
Betreuer:
Jun.-Prof. Dr. rer. nat. Matti Schneider
Prof. Dr. Willy Dörfler

Veröffentlichungen

2021

Ernesti, F., Schneider, M.:
A fast Fourier transform based method for computing the effective crack energy of a heterogeneous material on a combinatorially consistent grid.
International Journal for Numerical Methods in Engineering (2021)
DOI: 10.1002/nme.6792

Ernesti, F., Schneider, M.:
Computing the effective crack energy of heterogeneous and anisotropic microstructures via anisotropic minimal surfaces.
Computational Mechanics (2021)
DOI: 10.1007/s00466-021-02082-6

Gajek, S., Schneider, M., Böhlke, T.:
An FE–DMN method for the multiscale analysis of short fiber reinforced plastic components.
Comput. Methods Appl. Mech. Engrg. 384 (2021)
DOI: 10.1016/j.cma.2021.113952

Köbler, J., Magino, N., Andrä, H., Welschinger, F., Müller, R., Schneider, M.:
A computational multi-scale model for the stiffness degradation of short-fiber reinforced plastics subjected to fatigue loading.
Computer Methods in Applied Mechanics and Engineering 373, 113522 (2021)

Kuhn, J., Spitz, J., Sonnweber-Ribic, P., Schneider, M., Böhlke, T.:
Identifying material parameters in crystal plasticity by Bayesian optimization.
Optimization and Engineering 1-35 (2021)
DOI: 10.1007/s11081-021-09663-7

Magino, N., Köbler, J., Andrä, H., Schneider, M., Welschinger, F.:
A multi-scale fatigue-damage model for fiber-reinforced polymers.
Proceedings in Applied Mathematics and Mechanics, 20:e202000091 (2021)

Schneider, M.:
A review of non-linear FFT-based computational homogenization methods.
Acta Mechanica 232, 2051-2100 (2021)
DOI: 10.1007/s00707-021-02962-1

Wicht, D., Schneider, M., Böhlke, T.:
Anderson-accelerated polarization schemes for FFT-based computational homogenization.
International Journal for Numerical Methods in Engineering 122(9), 2287-2311 (2021)
DOI: 10.1002/nme.6622


Wicht, D., Schneider, M., Böhlke, T.:
Computing the effective response of heterogeneous materials with thermomechanically coupled constituents by an implicit FFT-based approach.
International Journal for Numerical Methods in Engineering 122(5), 1307-1332 (2021)


2020

Ernesti, F., Schneider, M., Böhlke, T.:
Fast implicit solvers for phase-field fracture problems on heterogeneous microstructures.
Computer Methods in Applied Mechanics and Engineering, 363 (2020)
DOI: 10.1016/j.cma.2019.112793

Ettemeyer, F., Lechner, P., Hofmann, T., Andrä, T., Schneider, M., Grund, D., Volk, W., Günther, D.:
Digital Sand Core Physics: Predicting physical properties of sand cores by simulations on digital microstructures.
International Journal of Solids and Structures 188-189, 155-168 (2020)

Gajek, S., Schneider, M., Böhlke, T.:
On the micromechanics of deep material networks.
Journal of the Mechanics and Physics of Solids (2020)
DOI: 10.1016/j.jmps.2020.103984

Görthofer, J., Schneider, M., Ospald, F, Hrymak, A., Böhlke, T.:
Computational homogenization of sheet molding compound composites based on high fidelity representative volume elements.
Computational Materials Science 174 (2020)
DOI: 10.1016/j.commatsci.2019.109456

Kuhn, J., Schneider, M., Sonnweber-Ribic, P., Böhlke, T.:
Fast methods for computing centroidal Laguerre tessellations for prescribed volume fractions with applications to microstructure generation of polycrystalline materials.
Computer Methods in Applied Mechanics and Engineering 369, 113175 (2020)
DOI: 10.1016/j.cma.2020.113175

Schneider, M.:
A dynamical view of nonlinear conjugate gradient methods with applications to FFT-based computational micromechanics.
Computational Mechanics 66, 239-257 (2020)
DOI: 10.1007/s00466-020-01849-7

Schneider, M.:
Lippmann-Schwinger solvers for the computational homogenization of materials with pores.
International Journal for Numerical Methods in Engineering 121(22), 5017-5041 (2020)

Schneider, M.:
An FFT-based method for computing weighted minimal surfaces in microstructures with applications to the computational homogenization of brittle fracture.
International Journal for Numerical Methods in Engineering 121(7), 1367-1387 (2020)

DOI: 10.1002/nme.6270


Wicht, D., Schneider, M., Böhlke, T.:
An efficient solution scheme for small-strain crystal-elasto-viscoplasticity in a dual framework.
Computer Methods in Applied Mechanics and Engineering 358, 112611 (2020)
DOI: 10.1016/j.cma.2019.112611

Wicht, D., Schneider, M., Böhlke, T.:
On Quasi-Newton methods in fast Fourier transform-based micromechanics.
International Journal for Numerical Methods in Engineering 121, 1665-1694 (2020)
DOI: 10.1002/nme.6283

2019

Dorn, C., Schneider, M.:
Lippmann-Schwinger solvers for the explicit jump discretization for thermal computational homogenization problems.
International Journal for Numerical Methods in Engineering, 118(11), 631-653 (2019)

Dorn, C., Schneider, M.:
The explicit jump discretization with Lippmann-Schwinger solvers for thermal computational homogenization problems.
Proceedings in Applied Mathematics and Mechanics, 19(1), e201900172 (2019)

Ernesti, F., Schneider, M., Böhlke, T.:
An FFT-based solver for brittle fracture on heterogeneous microstructures.
Proceedings in Applied Mathematics and Mechanics, 19(1), e201900151 (2019)

Schneider, M.:
On the mathematical foundations of the self-consistent clustering analysis for non-linear materials at small strains.
Computer Methods in Applied Mechanics and Engineering, 354, 783–801 (2019)

Schneider, M.:
On the Barzilai-Borwein basic scheme in FFT-based computational homogenization.
International Journal for Numerical Methods in Engineering, 118(8), 482-494 (2019)
DOI: 10.1002/nme.6023

Schneider, M., Wicht, D., Böhlke, T.:
On polarization-based schemes for the FFT-based computational homogenization of inelastic materials.
Computational Mechanics 64(4), 1073-1095 (2019)
DOI: 10.1007/s00466-019-01694-3

Schommer, D., Duhovic, M., Romanenko, V., Andrä, H., Steiner, K., Schneider, M., Hausmann, J.-M.: Material Characterization and Compression Molding Simulation of CF-SMC Materials in a Press Rheometry Test.
Key Engineering Materials, Proceedings, 809, 467-472 (2019)


Welschinger, F., Köbler, J., Andrä, H., Müller, R., Schneider, M., Staub, S.:
Efficient Multiscale Methods for Viscoelasticity and Fatigue of Short Fiber-Reinforced Polymers.
Key Engineering Materials, Proceedings, 809, 473-479 (2019)



2018

Köbler, J., Schneider, M., Ospald, F., Andrä, H., Müller, R.:
Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts.
Computational Mechanics, 61, 729-750 (2018)

Lechner, P., Ettemeyer, F., Volk, W., Schneider, M., Hofmann, T., Andrä, H.:
Mikrostrukturbasierte Vorhersage von Materialeigenschaften anorganischer Formstoffe.
Formstoff-Forum (2018)


Schneider, M., Hofmann, T., Andrä, H, Lechner, P., Ettemeyer, F., Volk, W., Steeb, H.:
Modelling the microstructure and computing effective elastic properties of sand core materials.
International Journal of Solids and Structures, 143, 1-17 (2018)

 

2017

Kabel, M.,  Fink, A., Schneider, M.:
The composite voxel technique for inelastic problems.
Computer Methods in Applied Mechanics and Engineering, 322, 396-418 (2017)

Lenske, A., Müller, T., Penter, L., Schneider, M., Hauptmann, M., Majschak, J.-P.:
Evaluating the factors inuencing the friction behavior of paperboard during the deep drawing process.
BioResources 12(4), 8340-8358 (2017)

Ospald, F., Goldberg, N., Schneider, M.:
A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites.
Computational Mechanics, 60(14), 595-611 (2017)

Plinke, B., Andrä, H., Schneider, M.:
MDF mit Faserorientierung - Simulation der Mikrostruktur zeigt Möglichkeiten zur Festigkeitssteigerung. Holztechnologie, 58, 5-11 (2017)

Schneider, M.:
An FFT-based fast gradient method for elastic and inelastic unit cell homogenization problems.
Computer Methods in Applied Mechanics and Engineering, 315, 846-866 (2017)

Schneider, M.:
The sequential addition and migration method to generate representative volume elements for the homogenization of short fiber reinforced plastics.
Computational Mechanics, 59, 247-263 (2017)

Schneider, M.:
Beyond polyconvexity: an existence result for a class of quasiconvex hyperelastic materials.
Mathematical Methods in the Applied Sciences, 40, 2084-2089 (2017)

Schneider, M., Merkert, D., Kabel, M.:
FFT-based homogenization for microstructures discretized by linear hexahedral elements.
International Journal for Numerical Methods in Engineering, 109, 1461-1489 (2017)


2016

Kabel, M., Fliegener, S., Schneider, M.:
Mixed boundary conditions for FFT-based homogenization at finite strains.
Computational Mechanics, 57(2), 193-210 (2016)

Kabel, M., Fink, A., Ospald, F., Schneider, M.:
Nonlinear composite voxels and FFT-based homogenization.
In M. Papadrakakis, V. Papadopoulos, G. Stefanou, and V. Plevris, editors, Conference Proceedings ECCOMAS Congress 2016, 1-11 (2016)

Ospald, F., Schneider, M., Kabel,M.:
A model order reduction method for computational homogenization at finite strains on regular grids using hyperelastic laminates to approximate interfaces.
Computer Methods in Applied Mechanics and Engineering, 309, 476-496 (2016)

Schneider, M., Kabel, M., Andrä, H., Lenske, A., Hauptmann, M.,  Majschak, J.-P. , Penter, L.,
Hardtmann, A., Ihlenfeldt, S., Westerteiger, R., Glatt, E., Wiegmann, A.:
Thermal fiber orientation tensors for digital paper physics.
International Journal of Solids and Structures, 100–101, 234-244 (2016)

Schneider, M.:
On the effective viscosity of a periodic suspension - Analysis of primal and dual formulations for Newtonian and Non-Newtonian solvents.
Mathematical Methods in the Applied Sciences, 39(12), 3309-3327 (2016)

Schneider, M., Kabel, M., Andrä, H.:
Thermal fiber orientation tensors - a novel approach for characterizing the local fiber orientation in paper and paperboard.
In S. Schnabel and H.-J. Schaffrath, editors, Progress in Paper Physics Seminar 2016 - Conference Proceedings, 150-155 (2016)

Schneider, M., Ospald, F., Kabel, M.:
Computational homogenization of elasticity on a staggered grid.
International Journal for Numerical Methods in Engineering, 105(9), 693-720 (2016)


2015

Kabel, M., Merkert, D., Schneider, M.:
Use of composite voxels in FFT-based homogenization.
Computer Methods in Applied Mechanics and Engineering, 294, 168-188 (2015)

Goldberg, N., Ihlemann, J., Kroll, L., Schramm, N., Schneider, M.:
Fully Anisotropic Material Laws for Fiber-Reinforced Thermoplastics.
In J. Tröltzsch and I. Roth, editors, Conference Proceedings of the 2nd International MERGE Technologies Conference IMTC 2015 Lightweight Structures, 237-244 (2015)

Ospald, F., Schneider, M., Kabel, M.:
Computational homogenization of elasticity at large deformations on a staggered grid.
In S. Elgeti and J.-W. Simon, editors, Conference Proceedings of the YIC GACM 2015,178-181 (2015)

Ospald, F., Schneider, M., Kabel, M.:
Computational homogenization of elasticity at large deformations on a staggered grid.
In S. Elgeti and J.-W. Simon, editors, Conference Proceedings of the YIC GACM 2015, 178-181 (2015)

Merkert, D., Andrä, H., Kabel, M., Schneider, M., Simeon, B.:
An efficient algorithm to include sub-voxel data in FFT-based homogenization for heat conductivity.
In Miriam Mehl, Manfred Bischoff, and Michael Schäfer, editors, Recent Trends in Computational Engineering - CE2014, volume 105 of Lecture Notes in Computational Science and Engineering, Springer International Publishing, 267-279 (2015)

Schneider, M.:
Convergence of FFT-based homogenization for strongly heterogeneous media.
Mathematical Methods in the Applied Sciences, 38(13), 2761-2778 (2015)


2014

Andrä, H., Shklyar, I., Schneider, M., Zangmeister, T.:
Zur Simulation von Klebeverbindungen für Scheibenbauteile mit Level-Set-Funktionen und erweiterter Finite-Elemente-Methode.
In S. Scheerer and M. Curbach, editors, Leicht Bauen mit Beton: Forschung im Schwerpunktprogramm
1542 Förderphase 1, 254-261 (2014)

Kabel, M., Böhlke, T., Schneider, M.:
Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations.
Computational Mechanics, 54(6), 1497-1514 (2014)

Merkert, D., Andrä, H., Kabel, M., Schneider, M., Simeon, B.:
Voxel-based fast solution of the Lippmann-Schwinger equation with smooth material interfaces.
Proceedings in Applied Mathematics and Mechanics, 14(1), 579-580, (2014)

Merkert, D., Andrä, H., Kabel, M., Schneider, M., Simeon, B.:
Voxel-based fast solution of the Lippmann-Schwinger equation with smooth material interfaces.
PAMM, 14(1), 579-580 (2014)


Schneider, M., Andrä, H.:
The topological gradient in anisotropic elasticity with an eye towards lightweight design.
Mathematical Methods in the Applied Sciences, 37(11), 1624-1641 (2014)

Schneider, M., Kabel, M.:
The Lippmann-Schwinger equation in elasticity for porous media.
In J. Schröder, D.C. Lupascu, M.-A. Keip, and D. Brands, editors, Proceedings of the Second Seminar on THE MECHANICS OF MULTIFUNCTIONAL MATERIALS, 79-82 (2014)

Vorträge

2021

Ernesti, F., Schneider, M.:
Computing the effective crack energy of heterogeneous materials by a fast Fourier transform based method on a combinatorially consistent grid,
Chemnitz Finite Element Symposium 2021, 06.-08.09.2021

Görthofer, J., Schneider, M., Hrymak, A., Böhlke, T.:
A modular and convex framework to compute anisotropic damage evolution,
20th GAMM Seminar on Microstructures, Vienna (online), Austria, 28.-29.01.2021

Görthofer, J., Schneider, M., Ospald, F., Hrymak, A., Böhlke, T.:
Homogenization and analysis of SMC composite microstructures based on generated unit cells,
Workshop of International Research Training Groups DFG-GRK 2078 and IRTG-2379, Karlsruhe & Aachen (online), Germany, 20.01.2021

Schneider, M.:
Computational investigations on the stochastic homogenization for particle-filled composites,
Institut für Wissenschaftliches Rechnen, TU Dresden, Forschungsseminar, 01.03.2021

Schneider, M.:
Periodize the law? - A computational study of stochastic homogenization for particle-filled composites
20th GAMM Seminar on Microstructures, 29.01.2021

Schneider, M.:
An FFT-based method for computing the effective crack resistance of heterogeneous media,
14th WCCM & ECCOMAS 2020, 11.01.2021


2020

Böhlke, T., Görthofer, J., Gajek, S., Schneider, M., et al.:
Integrated engineering of continuous-discontinuous long fiber reinforced polymer structures,
AICES EU Regional School 2020, RWTH Aachen, Web-Conference, Germany, 15.07.2020

Görthofer, J., Schneider, M., Ospald, F., Hrymak, A., Böhlke, T.:
Artificially generated sheet molding compound composite unit cells: Motivation, homogenization and comparison,
GAMM-FA Experimental Solid Mechanics: 4th Workshop, Stuttgart, Germany, 18.02.2020

Schneider, M.:
FFT-based computational homogenization methods
MIMENIMA Seminar (U Bremen), 23.11.2020, Bremen, Germany

Schneider, M.:
FFT-based computational micromechanics and homogenizing fiber-reinforced composites,
MPI MiS Seminar, 13.07.2020

Schneider, M.:
Computing the effective crack resistance of heterogeneous media by a fast Fourier transform based method,
7th GAMM Workshop on Phase-Field-Modeling, Kaiserslautern, 10.02.2020


2019

Dorn, C., Schneider, M.:
The explicit jump discretization with Lippmann-Schwinger solvers for thermal computational homogenization problems,
90th GAMM Annual Meeting, Vienna, Austria, 18.-22.02.2019

Schneider, M.:
The micromechanics of deep material networks,
Fraunhofer ITWM, Kaiserslautern, Germany, 15.11.2019

Schneider, M.:
Modern non-linear solution techniques in FFT-based computational micromechanics,
90th GAMM Annual Meeting, Vienna, Austria, 18.-22.02.2019

Wicht, D., Schneider, M., Böhlke, T.:
Investigation of NiAl-9Mo fiber structures using FFT-based homogenization in a dual setting,
ICMM6, Lund, Sweden, 26.-28.06.2019


2017


Schneider, M.:
An FFT-based fast gradient method for elastic and inelastic unit cell homogenization problems,

GAMM AG Data Workshop 2017: Challenges and Perspectives in Data-driven
Modeling 2017, KIT, 18.-19. Mai 2017

Schneider, M.:
An FFT-based fast gradient method for elastic and inelastic unit cell homogenization problems,

16th GAMM-Seminar on Microstructures, TU Dortmund, 20.-21. Januar 2017


2016


Schneider, M.:
Generating fiber-filled volume elements with high fiber volume fraction and prescribed fourth
order fiber orientation tensor,

29th International Workshop Research in Mechanics of Composites, Bad Herrenalb, 6.-8. Dezember 2016

Schneider, M., Merkert, D., Kabel, M.:
FFT-based homogenization for microstructures discretized by linear hexahedral elements,
2016 EMI International Conference, Metz (Frankreich), 25.-27. Oktober 2016

Schneider, M.:
Generating fiber-filled volume elements with high fiber volume fraction and prescribed fourth
order fiber orientation tensor,

GAMM AG DATA Kick-Off Workshop, Stuttgart, 26.-27. September 2016

Schneider, M., Kabel, M., Andrä, H.:
Thermal fiber orientation tensors - a novel approach for characterizing the local fiber orientation
in paper and paperboard,

Progress in Paper Physics Seminar 2016, Darmstadt, 22.-26. August 2016

Schneider, M., Ospald, F.:
Numerical homogenization of the viscosity of a fiber suspension,

Seminar-Serie des GRK 2078 CoDiCoFRP (T. Böhlke), KIT, 26. Januar 2016


2015


Schneider, M., Merkert, D., Kabel, M.:
FFT-based finite element solvers for micromechanics,

28th Workshop Composite Forschung in der Mechanik, Paderborn, 9.-10. Dezember 2015

Schneider, M., Kabel, M., Böhlke, T.:
FFT-based homogenization of elasticity at large deformations,

14th GAMM Seminar on Microstructures, Regensburg, 16.-17. Januar 2015

 

2014

Schneider, M., Ospald, F., Kabel, M.:
Computational homogenization on a staggered grid,

27th International Workshop Research in Mechanics of Composites, Bad Herrenalb, 11.-12. Dezember 2014

Schneider, M., Kabel, M.:
The Lippmann-Schwinger equation in elasticity for porous media,

2nd Seminar on the Mechanics of Multifunctional Materials, Bad Honnef, 5.-9. Mai 2014

Schneider, M., Andrä, H.:
The topological gradient in anisotropic elasticity,

Seminar Nichtlineare Optimierung (F. Tröltzsch), TU Berlin, 10. Februar 2014