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Prof. Dr. Matti Schneider

Anschrift
Universitätsstr. 2
45117 Essen
Raum
V15 R04 H23
Telefon
+49 201 183 6501
E-Mail
Matti.Schneider@uni-due.de

Funktionen

  • Gruppe der Professorinnen und Professoren, Abteilungskonferenz

  • Institutsleitung, Institut für Ingenieurmathematik

Die folgenden Publikationen sind in der Online-Universitätsbibliographie der Universität Duisburg-Essen verzeichnet. Weitere Informationen finden Sie gegebenenfalls auch auf den persönlichen Webseiten der Person.

    Artikel in Zeitschriften

  • Bhat Keelanje Srinivas, Pavan; Kabel, Matthias; Schneider, Matti
    Rapid Offline Training for Deep Material Networks via a displacement-based laminate formulation and a novel sampling technique for a compliance-based fatigue model
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 449, 2026, Nr. Part A, 118517
    DOI, Online Volltext (Open Access)
  • Nguyen, Binh Huy; Schneider, Matti
    Symmetries in stochastic homogenization and adjustments for the RVE method
    In: International Journal of Solids and Structures, Jg. 325, 2026, 113728
    DOI, Online Volltext (Open Access)
  • Nguyen, Binh Huy; Schneider, Matti
    Universal Fourier Neural Operators for periodic homogenization problems in linear elasticity
    In: Journal of the Mechanics and Physics of Solids, Jg. 206, 2026, 106418
    DOI, Online Volltext (Open Access)
  • Jabs, Lukas; Schneider, Matti
    A consistent discretization via the finite radon transform for FFT-based computational micromechanics
    In: Computational Mechanics, Jg. 75, 2025, Nr. 5, S. 1451 – 1470
    DOI, Online Volltext (Open Access)
  • Donval, Elodie; Schneider, Matti; Grimm-Strele, Hannes; Godehardt, Michael; Burger, Raphael; Lechner, Philipp; Günther, Daniel; Andrä, Heiko
    A directional contraction method to model sand-based binder jet 3D printed materials
    In: International Journal of Solids and Structures, Jg. 312, 2025, 113260
    DOI, Online Volltext (Open Access)
  • Lendvai, Jonas; Kabel, Matthias; Schneider, Matti
    Accurate and consistent composite voxel methods for digital images in computational micromechanics
    In: Computational Mechanics, 2025, in press
    DOI, Online Volltext (Open Access)
  • Gehrig, Flavia; Schneider, Matti
    An X-FFT Solver for Two-Dimensional Thermal Homogenization Problems
    In: International Journal for Numerical Methods in Engineering, Jg. 126, 2025, Nr. 7, e70022
    DOI, Online Volltext (Open Access)
  • Donval, Elodie; Schneider, Matti
    Convergence of Damped Polarization Schemes for the FFT‐Based Computational Homogenization of Inelastic Media With Pores
    In: International Journal for Numerical Methods in Engineering, Jg. 126, 2025, Nr. 3, e7632
    DOI, Online Volltext (Open Access)
  • Sterr, Benedikt; Gajek, Sebastian; Hrymak, Andrew; Schneider, Matti; Böhlke, Thomas
    Deep Material Networks for Fiber Suspensions With Infinite Material Contrast
    In: International Journal for Numerical Methods in Engineering, Jg. 126, 2025, Nr. 7, e70014
    DOI (Open Access)
  • Gehrig, Flavia; Schneider, Matti
    Element-Based Internal Variable Formulations for Finite Element Discretizations in FFT-Based Homogenization Methods
    In: International Journal for Numerical Methods in Engineering, Jg. 126, 2025, Nr. 21, e70170
    DOI, Online Volltext (Open Access)
  • Sterr, Benedikt; Hrymak, Andrew; Schneider, Matti; Böhlke, Thomas
    Machine learning assisted discovery of effective viscous material laws for shear-thinning fiber suspensions
    In: Computational Mechanics, Jg. 75, 2025, S. 51 – 69
    DOI (Open Access)
  • Lauff, Celine; Schneider, Matti; Böhlke, Thomas
    Microstructure generation of long fiber reinforced hybrid composites using the fused sequential addition and migration method
    In: Journal of Thermoplastic Composite Materials, Jg. 38, 2025, Nr. 8, S. 2855 – 2893
    DOI, Online Volltext (Open Access)
  • Ravichandran, Shreyas Karthik; Nguyen, Binh; Schneider, Matti
    Quantifying the systematic and the random error for linear elastic particle-reinforced composites and reducing the variance by fixing the volume fraction
    In: Computational Mechanics, 2025, in press
    DOI (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Robust and Efficient FFT-Based Solvers for Unit-Cell Problems With Voids and Pores Under Displacement Boundary Conditions
    In: International Journal for Numerical Methods in Engineering, Jg. 126, 2025, Nr. 18, e70124
    DOI, Online Volltext (Open Access)
  • Mehta, Alok; Schneider, Matti
    A comparison of numerical methods for computing the exact closure for short‐fiber composites
    94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18-22.03.2024, Otto von Guericke University Magdeburg,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 24, 2024, Nr. 4, Special Issue: 94th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202400202
    DOI, Online Volltext (Open Access)
  • Mehta, Alok; Schneider, Matti
    A maximum-entropy length-orientation closure for short-fiber reinforced composites
    In: Computational Mechanics, Jg. 74, 2024, S. 615 – 640
    DOI, Online Volltext (Open Access)
  • Kabel, Matthias; Schneider, Matti
    Adaptive material evaluation by stabilized octree and sandwich coarsening in FFT-based computational micromechanics
    In: International Journal for Numerical Methods in Engineering, Jg. 125, 2024, Nr. 5, e7399
    DOI, Online Volltext (Open Access)
  • Lendvai, Jonas; Schneider, Matti
    Assumed strain methods in micromechanics, laminate composite voxels and level sets
    In: International Journal for Numerical Methods in Engineering, Jg. 125, 2024, Nr. 11, e7459
    DOI, Online Volltext (Open Access)
  • Lendvai, Jonas; Schneider, Matti
    Computing laminate composite voxel properties using Mirtich formulas
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 24, 2024, Nr. 3, e202400191
    DOI, Online Volltext (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Dirichlet Boundary Conditions for FFT‐Based Micromechanics of Bicontinuous Stochastic Microstructures
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 24, 2024, Nr. 4, e202400182
    DOI, Online Volltext (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    FFT-based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid
    In: International Journal for Numerical Methods in Engineering, Jg. 125, 2024, Nr. 21, e7569
    DOI, Online Volltext (Open Access)
  • Lauff, Celine; Schneider, Matti; Montesano, John; Böhlke, Thomas
    Generating microstructures of long fiber reinforced composites by the fused sequential addition and migration method
    In: International Journal for Numerical Methods in Engineering, Jg. 125, 2024, Nr. 22, e7573
    DOI, Online Volltext (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics
    In: Computational Mechanics, Jg. 74, 2024, Nr. 5, S. 1089 – 1113
    DOI, Online Volltext (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Imposing different boundary conditions for thermal computational homogenization problems with FFT- and tensor-train-based Green's operator methods
    In: International Journal for Numerical Methods in Engineering, Jg. 125, 2024, Nr. 7, e7423
    DOI (Open Access)
  • Dey, Argha Protim; Welschinger, Fabian; Schneider, Matti; Köbler, Jonathan; Böhlke, Thomas
    On the effectiveness of deep material networks for the multi-scale virtual characterization of short fiber-reinforced thermoplastics under highly nonlinear load cases
    In: Archive of Applied Mechanics, Jg. 94, 2024, Nr. 5, S. 1177 – 1202
    DOI (Open Access)
  • Jabs, Lukas; Schneider, Matti
    On the finite Radon transform for the computational homogenization of conductivity
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 24, 2024, Nr. 4, e202400189
    DOI, Online Volltext (Open Access)
  • Meyer, Nils; Gajek, Sebastian; Görthofer, Johannes; Hrymak, Andrew; Kärger, Luise; Henning, Frank; Schneider, Matti; Böhlke, Thomas
    A probabilistic virtual process chain to quantify process-induced uncertainties in Sheet Molding Compounds
    In: Composites Part B: Engineering, Jg. 249, 2023, 110380
    DOI, Online Volltext (Open Access)
  • Magino, Nicola; Köbler, Jonathan; Andrä, Heiko; Welschinger, Fabian; Müller, Ralf; Schneider, Matti
    Accounting for viscoelastic effects in a multiscale fatigue model for the degradation of the dynamic stiffness of short-fiber reinforced thermoplastics
    In: Computational Mechanics, Jg. 71, 2023, Nr. 3, S. 493 – 515
    DOI (Open Access)
  • Ernesti, Felix; Schneider, Matti
    Accounting for weak interfaces in computing the effective crack energy of heterogeneous materials using the composite voxel technique
    In: Archive of Applied Mechanics, Jg. 93, 2023, Nr. 10, S. 3983 – 4008
    DOI (Open Access)
  • Lauff, Celine; Schneider, Matti; Montesano, John; Böhlke, Thomas
    An orientation corrected shaking method for the microstructure generation of short fiber-reinforced composites with almost planar fiber orientation
    In: Composite Structures, Jg. 322, 2023, 117352
    DOI (Open Access)
  • Ernesti, Felix; Schneider, Matti; Winter, Steffen; Hug, Daniel; Last, Günter; Böhlke, Thomas
    Characterizing digital microstructures by the Minkowski-based quadratic normal tensor
    In: Mathematical Methods in the Applied Sciences, Jg. 46, 2023, Nr. 1, S. 961 – 985
    DOI (Open Access)
  • Magino, Nicola; Köbler, Jonathan; Andrä, Heiko; Welschinger, Fabian; Müller, Ralf; Schneider, Matti
    Factors influencing the dynamic stiffness in short‐fiber reinforced polymers
    GAMM: 92nd Annual Meeting, 15.-19.08.2022, Aachen,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 22, 2023, Nr. 1, Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202200071
    DOI (Open Access)
  • Sterr, Benedikt; Wicht, Daniel; Hrymak, Andrew; Schneider, Matti; Böhlke, Thomas
    Homogenizing the viscosity of shear-thinning fiber suspensions with an FFT-based computational method
    In: Journal of Non-Newtonian Fluid Mechanics, Jg. 321, 2023, 105101
    DOI (Open Access)
  • Ernesti, Felix; Lendvai, Jonas; Schneider, Matti
    Investigations on the influence of the boundary conditions when computing the effective crack energy of random heterogeneous materials using fast marching methods
    In: Computational Mechanics, Jg. 71, 2023, Nr. 2, S. 277 – 293
    DOI (Open Access)
  • Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas
    Material‐informed training of viscoelastic deep material networks
    92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 15.-19.08.2022, Aachen,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 22, 2023, Nr. 1, Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202200143
    DOI (Open Access)
  • Karl, Tobias; Schneider, Matti; Böhlke, Thomas
    On fully symmetric implicit closure approximations for fiber orientation tensors
    In: Journal of Non-Newtonian Fluid Mechanics, 2023, Nr. 318, 105049
    DOI, Online Volltext (Open Access)
  • Bauer, Julian Karl; Schneider, Matti; Böhlke, Thomas
    On the Phase Space of Fourth-Order Fiber-Orientation Tensors
    In: Journal of Elasticity, Jg. 153, 2023, Nr. 2, S. 161 – 184
    DOI, Online Volltext (Open Access)
  • Schneider, Matti
    On the effectiveness of the Moulinec–Suquet discretization for composite materials
    In: International Journal for Numerical Methods in Engineering, Jg. 124, 2023, Nr. 14, S. 3191 – 3218
    DOI, Online Volltext (Open Access)
  • Dey, Argha Protim; Welschinger, Fabian; Schneider, Matti; Gajek, Sebastian; Böhlke, Thomas
    Rapid inverse calibration of a multiscale model for the viscoplastic and creep behavior of short fiber-reinforced thermoplastics based on Deep Material Networks
    In: International Journal of Plasticity, Jg. 160, 2023, 103484
    DOI (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Solving phase‐field fracture problems in the tensor train format
    GAMM: 92nd Annual Meeting, 15.-19.08.2022, Aachen,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 22, 2023, Nr. 1, Heft 1, Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202200098
    DOI (Open Access)
  • Schneider, Matti; Wicht, Daniel
    Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials
    In: International Journal for Numerical Methods in Engineering, Jg. 124, 2023, Nr. 4, S. 959 – 978
    DOI (Open Access)
  • Görthofer, Johannes; Schneider, Matti; Hrymak, Andrew; Böhlke, Thomas
    A computational multiscale model for anisotropic failure of sheet molding compound composites
    In: Composite Structures, Jg. 288, 2022, 115322
    DOI (Open Access)
  • Görthofer, Johannes; Schneider, Matti; Hrymak, Andrew; Böhlke, Thomas
    A convex anisotropic damage model based on the compliance tensor
    In: International Journal of Damage Mechanics, Jg. 31, 2022, Nr. 1, S. 43 – 86
    DOI (Open Access)
  • Magino, Nicola; Köbler, Jonathan; Andrä, Heiko; Welschinger, Fabian; Müller, Ralf; Schneider, Matti
    A multiscale high-cycle fatigue-damage model for the stiffness degradation of fiber-reinforced materials based on a mixed variational framework
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 388, 2022, 114198
    DOI (Open Access)
  • Mehta, Alok; Schneider, Matti
    A sequential addition and migration method for generating microstructures of short fibers with prescribed length distribution
    In: Computational Mechanics, Jg. 70, 2022, Nr. 4, S. 829 – 851
    DOI (Open Access)
  • Magino, Nicola; Köbler, Jonathan; Andrä, Heiko; Welschinger, Fabian; Müller, Ralf; Schneider, Matti
    A space-time upscaling technique for modeling high-cycle fatigue-damage of short-fiber reinforced composites
    In: Composites Science and Technology, Jg. 222, 2022, 109340
    DOI (Open Access)
  • Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas
    An FE-DMN method for the multiscale analysis of thermomechanical composites
    In: Computational Mechanics, Jg. 69, 2022, Nr. 5, S. 1087 – 1113
    DOI (Open Access)
  • Ernesti, Felix; Schneider, Matti
    Computing the effective crack energy of heterogeneous and anisotropic microstructures via anisotropic minimal surfaces
    In: Computational Mechanics, Jg. 69, 2022, Nr. 1, S. 45 – 57
    DOI (Open Access)
  • Kuhn, Jannick; Schneider, Matti; Sonnweber-Ribic, Petra; Böhlke, Thomas
    Generating polycrystalline microstructures with prescribed tensorial texture coefficients
    In: Computational Mechanics, Jg. 70, 2022, Nr. 3, S. 639 – 659
    DOI (Open Access)
  • Kuhn, Jannick; Spitz, Jonathan; Sonnweber-Ribic, Petra; Schneider, Matti; Böhlke, Thomas
    Identifying material parameters in crystal plasticity by Bayesian optimization
    In: Optimization and Engineering, Jg. 23, 2022, Nr. 3, S. 1489 – 1523
    DOI (Open Access)
  • Wicht, Daniel; Kauffmann, Alexander; Schneider, Matti; Heilmaier, Martin; Böhlke, Thomas
    On the impact of the mesostructure on the creep response of cellular NiAl-Mo eutectics
    In: Acta Materialia, Jg. 226, 2022, 117626
    DOI (Open Access)
  • Schneider, Matti; Josien, Marc; Otto, Felix
    Representative volume elements for matrix-inclusion composites : a computational study on the effects of an improper treatment of particles intersecting the boundary and the benefits of periodizing the ensemble
    In: Journal of the Mechanics and Physics of Solids, Jg. 158, 2022, 104652
    DOI (Open Access)
  • Risthaus, Lennart; Schneider, Matti
    Solving phase-field models in the tensor train format to generate microstructures of bicontinuous composites
    In: Applied Numerical Mathematics, Jg. 178, 2022, S. 262 – 279
    DOI
  • Schneider, Matti
    Superaccurate effective elastic moduli via postprocessing in computational homogenization
    In: International Journal for Numerical Methods in Engineering, Jg. 123, 2022, Nr. 17, S. 4119 – 4135
    DOI (Open Access)
  • Shahzamanian, M.M.; Akhtar, S.S.; Arif, A.F.M.; Basirun, W.J.; Al-Athel, K.S.; Schneider, Matti; Shakelly, N.; Hakeem, Abbas Saeed; Abubakar, Abba A.; Wu, P.D.
    Thermo-mechanical properties prediction of Ni-reinforced Al₂O₃ composites using micro-mechanics based representative volume elements
    In: Scientific Reports, Jg. 12, 2022, Nr. 1, 11076
    DOI (Open Access)
  • Dey, Argha Protim; Welschinger, Fabian; Schneider, Matti; Gajek, Sebastian; Böhlke, Thomas
    Training deep material networks to reproduce creep loading of short fiber-reinforced thermoplastics with an inelastically-informed strategy
    In: Archive of Applied Mechanics, Jg. 92, 2022, Nr. 9, S. 2733 – 2755
    DOI (Open Access)
  • Schneider, Matti
    Voxel-based finite elements with hourglass control in fast Fourier transform-based computational homogenization
    In: International Journal for Numerical Methods in Engineering, Jg. 123, 2022, Nr. 24, S. 6286 – 6313
    DOI (Open Access)
  • Bertóti, Róbert; Wicht, Daniel; Hrymak, Andrew; Schneider, Matti; Böhlke, Thomas
    A computational investigation of the effective viscosity of short-fiber reinforced thermoplastics by an FFT-based method
    In: European Journal of Mechanics / B: Fluids, Jg. 90, 2021, S. 99 – 113
    DOI
  • Köbler, Jonathan; Magino, Nicola; Andrä, Heiko; Welschinger, Fabian; Müller, Ralf; Schneider, Matti
    A computational multi-scale model for the stiffness degradation of short-fiber reinforced plastics subjected to fatigue loading
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 373, 2021, 113522
    DOI
  • Ernesti, Felix; Schneider, Matti
    A fast Fourier transform based method for computing the effective crack energy of a heterogeneous material on a combinatorially consistent grid
    In: International Journal for Numerical Methods in Engineering, Jg. 122, 2021, Nr. 21, S. 6283 – 6307
    DOI (Open Access)
  • Magino, Nicola; Köbler, Jonathan; Andrä, Heiko; Schneider, Matti; Welschinger, Fabian
    A multi‐scale fatigue‐damage model for fiber‐reinforced polymers
    GAMM: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics, 15.-19.03.2021, Kassel,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 20, 2021, Nr. 1, Special Issue: 91st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202000091
    DOI (Open Access)
  • Schneider, Matti
    A review of nonlinear FFT-based computational homogenization methods
    In: Acta Mechanica, Jg. 232, 2021, Nr. 6, S. 2051 – 2100
    DOI (Open Access)
  • Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas
    An FE–DMN method for the multiscale analysis of short fiber reinforced plastic components
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 384, 2021, 113952
    DOI (Open Access)
  • Wicht, Daniel; Schneider, Matti; Böhlke, Thomas
    Anderson-accelerated polarization schemes for fast Fourier transform-based computational homogenization
    In: International Journal for Numerical Methods in Engineering, Jg. 122, 2021, Nr. 9, S. 2287 – 2311
    DOI (Open Access)
  • Ernesti, Felix; Schneider, Matti; Böhlke, Thomas
    Computing the effective crack energy of microstructures via quadratic cone solvers
    GAMM: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics, 15.-19.03.2021, Kassel,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 21, 2021, Nr. 1, Special Issue:92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e202100100
    DOI (Open Access)
  • Wicht, Daniel; Schneider, Matti; Böhlke, Thomas
    Computing the effective response of heterogeneous materials with thermomechanically coupled constituents by an implicit fast Fourier transform-based approach
    In: International Journal for Numerical Methods in Engineering, Jg. 122, 2021, Nr. 5, S. 1307 – 1332
    DOI (Open Access)
  • Schneider, Matti
    On non-stationary polarization methods in FFT-based computational micromechanics
    In: International Journal for Numerical Methods in Engineering, Jg. 122, 2021, Nr. 22, S. 6800 – 6821
    DOI (Open Access)
  • Schneider, Matti
    A dynamical view of nonlinear conjugate gradient methods with applications to FFT-based computational micromechanics
    In: Computational Mechanics, Jg. 66, 2020, Nr. 1, S. 239 – 257
    DOI (Open Access)
  • Schneider, Matti
    An FFT-based method for computing weighted minimal surfaces in microstructures with applications to the computational homogenization of brittle fracture
    In: International Journal for Numerical Methods in Engineering, Jg. 121, 2020, Nr. 7, S. 1367 – 1387
    DOI (Open Access)
  • Wicht, Daniel; Schneider, Matti; Böhlke, Thomas
    An efficient solution scheme for small-strain crystal-elasto-viscoplasticity in a dual framework
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 358, 2020, 112611
    DOI
  • Görthofer, Johannes; Schneider, Matti; Ospald, Felix; Hrymak, Andrew; Böhlke, Thomas
    Computational homogenization of sheet molding compound composites based on high fidelity representative volume elements
    In: Computational Materials Science, Jg. 174, 2020, 109456
    DOI
  • Ettemeyer, Florian; Lechner, Philipp; Hofmann, Tobias; Andrä, Heiko; Schneider, Matti; Grund, Dominik; Volk, Wolfram; Günther, Daniel
    Digital sand core physics : Predicting physical properties of sand cores by simulations on digital microstructures
    In: International Journal of Solids and Structures, Jg. 188-189, 2020, S. 155 – 168
    DOI (Open Access)
  • Ernesti, Felix; Schneider, Matti; Böhlke, Thomas
    Fast implicit solvers for phase-field fracture problems on heterogeneous microstructures
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 363, 2020, 112793
    DOI
  • Kuhn, Jannick; Schneider, Matti; Sonnweber-Ribic, Petra; Böhlke, Thomas
    Fast methods for computing centroidal Laguerre tessellations for prescribed volume fractions with applications to microstructure generation of polycrystalline materials
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 369, 2020, 113175
    DOI
  • Schneider, Matti
    Lippmann-Schwinger solvers for the computational homogenization of materials with pores
    In: International Journal for Numerical Methods in Engineering, Jg. 121, 2020, Nr. 22, S. 5017 – 5041
    DOI (Open Access)
  • Wicht, Daniel; Schneider, Matti; Böhlke, Thomas
    On Quasi-Newton methods in fast Fourier transform-based micromechanics
    In: International Journal for Numerical Methods in Engineering, Jg. 121, 2020, Nr. 8, S. 1665 – 1694
    DOI (Open Access)
  • Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas
    On the micromechanics of deep material networks
    In: Journal of the Mechanics and Physics of Solids, Jg. 142, 2020, 103984
    DOI
  • Ernesti, Felix; Schneider, Matti; Böhlke, Thomas
    An FFT‐based solver for brittle fracture on heterogeneous microstructures
    GAMM: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, 18.-22.02.2019, Wien,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 19, 2019, Nr. 1, Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e201900151
    DOI (Open Access)
  • Dorn, Christian; Schneider, Matti
    Lippmann-Schwinger solvers for the explicit jump discretization for thermal computational homogenization problems
    In: International Journal for Numerical Methods in Engineering, Jg. 118, 2019, Nr. 11, S. 631 – 653
    DOI
  • Schneider, Matti; Wicht, Daniel; Böhlke, Thomas
    On polarization-based schemes for the FFT-based computational homogenization of inelastic materials
    In: Computational Mechanics, Jg. 64, 2019, Nr. 4, S. 1073 – 1095
    DOI
  • Schneider, Matti
    On the Barzilai-Borwein basic scheme in FFT-based computational homogenization
    In: International Journal for Numerical Methods in Engineering, Jg. 118, 2019, Nr. 8, S. 482 – 494
    DOI
  • Schneider, Matti
    On the mathematical foundations of the self-consistent clustering analysis for non-linear materials at small strains
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 354, 2019, S. 783 – 801
    DOI
  • Dorn, Christian; Schneider, Matti
    The explicit jump discretization with Lippmann‐Schwinger solvers for thermal computational homogenization problems
    GAMM: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, 18.-22.02.2019, Wien,
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 19, 2019, Nr. 1, Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), e201900172
    DOI (Open Access)
  • Köbler, Jonathan; Schneider, Matti; Ospald, Felix; Andrä, Heiko; Müller, Ralf
    Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts
    In: Computational Mechanics, Jg. 61, 2018, Nr. 6, S. 729 – 750
    DOI (Open Access)
  • Schneider, Matti; Hofmann, Tobias; Andrä, Heiko; Lechner, Philipp; Ettemeyer, Florian; Volk, Wolfram; Steeb, Holger
    Modelling the microstructure and computing effective elastic properties of sand core materials
    In: International Journal of Solids and Structures, Jg. 143, 2018, S. 1 – 17
    DOI (Open Access)
  • Goldberg, Niels; Ospald, Felix; Schneider, Matti
    A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites
    In: Computational Mechanics, Jg. 60, 2017, Nr. 4, S. 595 – 611
    DOI
  • Schneider, Matti
    An FFT-based fast gradient method for elastic and inelastic unit cell homogenization problems
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 315, 2017, S. 846 – 866
    DOI
  • Schneider, Matti
    Beyond polyconvexity : An existence result for a class of quasiconvex hyperelastic materials
    In: Mathematical Methods in the Applied Sciences, Jg. 40, 2017, Nr. 6, S. 2084 – 2089
    DOI
  • Lenske, Alexander; Müller, Tobias; Penter, Lars; Schneider, Matti; Hauptmann, Marek; Majschak, Jens-Peter
    Evaluating the factors influencing the friction behavior of paperboard during the deep drawing process
    In: BioResources, Jg. 12, 2017, Nr. 4, S. 8340 – 8358
    DOI (Open Access)
  • Schneider, Matti; Merkert, Dennis; Kabel, Matthias
    FFT-based homogenization for microstructures discretized by linear hexahedral elements
    In: International Journal for Numerical Methods in Engineering, Jg. 109, 2017, Nr. 10, S. 1461 – 1489
    DOI
  • Plinke, Burkhard; Andrae, Heiko; Schneider, Matti; Dix, Brigitte
    MDF mit Faserorientierung : Simulation der Mikrostruktur zeigt Möglichkeiten zur Festigkeitssteigerung
    In: Holztechnologie, Jg. 58, 2017, Nr. 2, S. 5 – 11
  • Kabel, Matthias; Fink, Andreas; Schneider, Matti
    The composite voxel technique for inelastic problems
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 322, 2017, S. 396 – 418
    DOI
  • Schneider, Matti
    The sequential addition and migration method to generate representative volume elements for the homogenization of short fiber reinforced plastics
    In: Computational Mechanics, Jg. 59, 2017, Nr. 2, S. 247 – 263
    DOI
  • Kabel, Matthias; Ospald, Felix; Schneider, Matti
    A model order reduction method for computational homogenization at finite strains on regular grids using hyperelastic laminates to approximate interfaces
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 309, 2016, S. 476 – 496
    DOI
  • Schneider, Matti; Ospald, Felix; Kabel, Matthias
    Computational homogenization of elasticity on a staggered grid
    In: International Journal for Numerical Methods in Engineering, Jg. 105, 2016, Nr. 9, S. 693 – 720
    DOI
  • Kabel, Matthias; Fliegener, Sascha; Schneider, Matti
    Mixed boundary conditions for FFT-based homogenization at finite strains
    In: Computational Mechanics, Jg. 57, 2016, Nr. 2, S. 193 – 210
    DOI
  • Schneider, Matti
    On the effective viscosity of a periodic suspension : analysis of primal and dual formulations for Newtonian and non-Newtonian solvents
    In: Mathematical Methods in the Applied Sciences, Jg. 39, 2016, Nr. 12, S. 3309 – 3327
    DOI
  • Schneider, Matti; Kabel, Matthias; Andrä, Heiko; Lenske, Alexander; Hauptmann, Marek; Majschak, Jens-Peter; Penter, Lars; Hardtmann, André; Ihlenfeldt, Steffen; Westerteiger, Rolf; Glatt, Erik; Wiegmann, Andreas
    Thermal fiber orientation tensors for digital paper physics
    In: International Journal of Solids and Structures, Jg. 100-101, 2016, S. 234 – 244
    DOI (Open Access)
  • Schneider, Matti
    Convergence of FFT-based homogenization for strongly heterogeneous media
    In: Mathematical Methods in the Applied Sciences, Jg. 38, 2015, Nr. 13, S. 2761 – 2778
    DOI
  • Kabel, Matthias; Merkert, Dennis; Schneider, Matti
    Use of composite voxels in FFT-based homogenization
    In: Computer Methods in Applied Mechanics and Engineering, Jg. 294, 2015, S. 168 – 188
    DOI
  • Kabel, Matthias; Böhlke, Thomas; Schneider, Matti
    Efficient fixed point and Newton–Krylov solvers for FFT-based homogenization of elasticity at large deformations
    In: Computational Mechanics, Jg. 54, 2014, Nr. 6, S. 1497 – 1514
    DOI
  • Schneider, Matti; Andrä, Heiko
    The topological gradient in anisotropic elasticity with an eye towards lightweight design
    In: Mathematical Methods in the Applied Sciences, Jg. 37, 2014, Nr. 11, S. 1624 – 1641
    DOI
  • Merkert, Dennis; Andrä, Heiko; Kabel, Matthias; Schneider, Matti; Simeon, Bernd
    Voxel‐based fast solution of the Lippmann‐Schwinger equation with smooth material interfaces
    In: Proceedings in Applied Mathematics and Mechanics (PAMM), Jg. 14, 2014, Nr. 1, Special Issue:85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), S. 579 – 580
    DOI

    • Beiträge in Sammelwerken und Tagungsbänden

  • Schneider, Matti
    Fast-Fourier Methods and Homogenization
    In: Comprehensive Mechanics of Materials: Vol. 2: Experimental and Computational Mechanics of Materials. San Diego: Elsevier, 2024, S. 267 – 293
    DOI
  • Lendvai, Jonas; Schneider, Matti
    Level-set based composite voxels for FFT-based computational homogenization of thermal conductivity
    In: 9th European Congress on Computational Methods in Applied Sciences and Engineering / 9th European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS 2024), 3–7 June 2024, Lisboa, Portugal; European Congress on Computational Methods in Applied Sciences and Engineering. Lissabon: CIMNE, 2024
    DOI, Online Volltext (Open Access)
  • Lauff, Celine; Schneider, Matti; Böhlke, Thomas
    Generation and analysis of digital twins for CoDiCoFRP accounting for fiber length and orientation distribution
    In: ICCM23: Proceedings of the 2023 International Conference on Composite Materials / 23rd International Conference on Composite Materials (ICCM 2023), Belfast, Vereinigtes Königreich, 30.07.2023 – 04.08.2023 / Falzon, Brian (Hrsg.). Belfast: Queen's University Belfast, 2023
  • Welschinger, F.; Köbler, J.; Müller, R.; Schneider, Matti; Staub, S.; Andrä, H. (Hrsg.)
    Efficient multiscale methods for viscoelasticity and fatigue of short fiber-reinforced polymers
    In: 22nd Symposium on Composites / 22nd Symposium on Composites, June 26-28, 2019, Kaiserslautern, Germany / Hausmann, Joachim M. (Hrsg.). Zürich: Trans Tech Publications, 2019
  • Schommer, Dominic; Duhovic, Miro; Romanenko, Vitali; Andrae, Heiko; Steiner, Konrad; Schneider, Matti; Hausmann, Joachim M.
    Material characterization and compression molding simulation of CF-SMC materials in a press rheometry test
    In: 22nd Symposium on Composites / 22nd Symposium on Composites, June 26-28, 2019, Kaiserslautern, Germany / Hausmann, Joachim M. (Hrsg.). Zürich: Trans Tech Publications, 2019
  • Lechner, P.; Ettemeyer, F.; Volk, W.; Schneider, Matti; Hofmann, T.; Andrä, H.
    Mikrostrukturbasierte Vorhersage von Materialeigenschaften anorganischer Formstoffe
    In: 2. Formstoff-Forum 2018 / 2. Formstoff-Forum 2018 zusammen mit dem 44. Aachener-Gießerei-Kolloquium, 07.-08.03.2018, Aachen, 2018
  • Merkert, Dennis; Andrä, Heiko; Kabel, Matthias; Schneider, Matti; Simeon, Bernd
    An efficient algorithm to include sub-voxel data in FFT-based homogenization for heat conductivity
    In: Recent Trends in Computational Engineering - CE2014: Optimization, Uncertainty, Parallel Algorithms, Coupled and Complex Problems / International Workshop on Computational Engineering (CE) 2014, 06.-10.10.2014, Stuttgart / Mehl, Miriam; Bischoff, Manfred; Schäfer, Michael (Hrsg.). Cham: Springer, 2015, S. 267 – 279
    DOI
  • Schneider, Matti; Ospald, Felix; Kabel, Matthias
    Computational homogenization of elasticity on a staggered grid
    In: Conference Proceedings of the YIC GACM 2015 / YIC GACM July 20-23, 2015 / Elgeti, Stefanie; Simon, Jaan-Willem (Hrsg.). Aachen: Universitätsbibliothek der RWTH Aachen, 2015
  • Goldberg, N.; Ihlemann, J.; Kroll, L.; Schramm, N.; Schneider, Matti
    Fully Anisotropic Material Laws for Fiber-Reinforced Thermoplastics
    In: Conference proceedings / 2nd International MERGE Technologies Conference / 2nd International MERGE Technologies Conference : IMTC 2015 Lightweight Structures ; October 1st - 2nd 2015, Technische Universität Chemnitz / Kroll, Lothar (Hrsg.). Auerbach/Vogtl.: Verl. Wiss. Scripten, 2015, S. 237 – 244
  • Schneider, Matti; Kabel, Matthias
    The Lippmann-Schwinger equation in elasticity for porous media
    In: Proceedings of the Second Seminar on the Mechanics of Multifunctional Materials / Second Seminar on the Mechanics of Multifunctional Materials : Physikzentrum Bad Honnef, May 5-9, 2014 / Schröder, J; Lupascu, Doru C.; Keip, M.-A.; Brands, Dominik (Hrsg.). Essen: Fakultät für Ingenieurwissenschaften, Abteilung Bauwissenschaften, Institut für Mechanik, 2014, S. 79 – 82
  • Andrä, H.; Shklyar, I.; Schneider, Matti; Zangmeister, T.
    Zur Simulation von Klebeverbindungen für Scheibenbauteile mit Level-Set-Funktionen und erweiterter Finite-Elemente-Methode
    In: Leicht Bauen mit Beton: Forschung im Schwerpunktprogramm 1542, Förderphase 1 / Curbach, M. / Scheerer, Silke (Hrsg.). Dresden: Techn. Univ., Inst. für Massivbau, 2014