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

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

Gajek, S., Schneider, M., Böhlke, T.:
An FE-DMN method for the multiscale analysis of short fiber reinforced plastic components.
Computer Methods in Applied Mechanics, accepted for publication (2021)

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)

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.:
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.:
Anderson-accelerated polarization schemes for FFT-based computational homogenization.
International Journal for Numerical Methods in Engineering (2020)
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 (2020)
DOI: 10.1002/nme.6579

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

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