Beyond Representative Volume Elements for Random Heterogeneous Materials

Project Information

BeyondRVE

Grant agreement ID: 101040238

DOI

10.3030/101040238

EC signature date 4 February 2022

Start date 1 July 2022

End date 30 June 2027

Funded under

• European Research Council (ERC)

Total cost

€ 1 499 651,00

EU contribution

€ 1 499 651,00

Coordinated by

UNIVERSITAET DUISBURG-ESSEN
Germany

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Peer reviewed articles (28)

A maximum-entropy length-orientation closure for short-fiber reinforced composites

Author(s): Alok Mehta; Matti Schneider
Published in: Computational Mechanics, Issue Online, 2024, ISSN 1432-0924
Publisher: Springer
DOI: 10.1007/s00466-024-02447-7

On the finite Radon transform for the computational homogenization of conductivity

Author(s): Lukas Jabs; Matti Schneider
Published in: PAMM, Issue Volume 24, Issue 4, 2024, ISSN 1617-7061
Publisher: Wiley
DOI: 10.1002/pamm.202400189

Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials

Author(s): Matti Schneider; Daniel Wicht
Published in: International Journal of Numerical Methods in Engineering, Issue Volume 124, Issue 4, 2022, ISSN 0029-5981
Publisher: Wiley
DOI: 10.1002/nme.7149

Robust and Efficient FFT‐Based Solvers for Unit‐Cell Problems With Voids and Pores Under Displacement Boundary Conditions

Author(s): Lennart Risthaus, Matti Schneider
Published in: International Journal for Numerical Methods in Engineering, Issue 126, 2025, ISSN 0029-5981
Publisher: Wiley
DOI: 10.1002/NME.70124

A directional contraction method to model sand-based binder jet 3D printed materials

Author(s): Elodie Donval; Matti Schneider; Hannes Grimm-Strele; Michael Godehardt; Raphael Burger; Philipp Lechner; Daniel Günther; Heiko Andrä
Published in: International Journal of Solids and Structures, Issue 312, 2025, ISSN 1879-2146
Publisher: Elsevier
DOI: 10.1016/J.IJSOLSTR.2025.113260

Dirichlet Boundary Conditions for FFT‐Based Micromechanics of Bicontinuous Stochastic Microstructures

Author(s): Lennart Risthaus; Matti Schneider
Published in: Proceedings in Applied Mathematics and Mechanics, Issue Volume 24, Issue 4, 2024, ISSN 1617-7061
Publisher: Wiley
DOI: 10.1002/pamm.202400182

Convergence of Damped Polarization Schemes for the FFT-Based Computational Homogenization of Inelastic Media With Pores

Author(s): Elodie Donval; Matti Schneider
Published in: International Journal for Numerical Methods in Engineering, Issue Volume 126, Issue 3, 2024, ISSN 0029-5981
Publisher: Wiley
DOI: 10.1002/nme.7632

FFT-based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid

Author(s): Lennart Risthaus; Matti Schneider
Published in: International Journal for Numerical Methods in Engineering, Issue Online, 2024, ISSN 0029-5981
Publisher: Wiley
DOI: 10.1002/nme.7569

On the effectiveness of the Moulinec–Suquet discretization for composite materials

Author(s): Matti Schneider
Published in: International Journal for Numerical Methods in Engineering, Issue Volume 124, Issue 14, 2023, ISSN 0029-5981
Publisher: Wiley
DOI: 10.1002/nme.7244

Numerically robust local continuum damage models with softening response via convex relaxation

Author(s): Celine Lauff, Matti Schneider, Thomas Böhlke
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 452, 2026, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/J.CMA.2026.118759

Generating high-fidelity microstructures of polycrystalline materials with prescribed higher-order texture tensors

Author(s): Maximilian Krause, Thomas Böhlke, Matti Schneider
Published in: Computer Methods in Applied Mechanics and Engineering, Issue 452, 2026, ISSN 0045-7825
Publisher: Elsevier BV
DOI: 10.1016/J.CMA.2025.118690

An X‐FFT Solver for Two‐Dimensional Thermal Homogenization Problems

Author(s): Flavia Gehrig, Matti Schneider
Published in: International Journal for Numerical Methods in Engineering, Issue 126, 2025, ISSN 0029-5981
Publisher: Wiley
DOI: 10.1002/NME.70022

Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics

Author(s): Lennart Risthaus; Matti Schneider
Published in: Computational Mechanics, Issue Online, 2024, ISSN 1432-0924
Publisher: Springer
DOI: 10.1007/s00466-024-02469-1

On the Phase Space of Fourth-Order Fiber-Orientation Tensors

Author(s): Bauer, Julian Karl; Schneider, Matti; Böhlke, Thomas
Published in: Journal of Elasticity, Issue Volume 153, 2023, ISSN 1573-2681
Publisher: Springer
DOI: 10.1007/s10659-022-09977-2

Quantifying the systematic and the random error for linear elastic particle-reinforced composites and reducing the variance by fixing the volume fraction

Author(s): Shreyas Karthik Ravichandran, Binh Huy Nguyen, Matti Schneider
Published in: Computational Mechanics, 2025, ISSN 0178-7675
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S00466-025-02694-2

Symmetries in stochastic homogenization and adjustments for the RVE method

Author(s): Binh Huy Nguyen, Matti Schneider
Published in: International Journal of Solids and Structures, Issue 325, 2025, ISSN 0020-7683
Publisher: Elsevier BV
DOI: 10.1016/J.IJSOLSTR.2025.113728

Assumed strain methods in micromechanics, laminate composite voxels and level sets

Author(s): Jonas Lendvai; Matti Schneider
Published in: International Journal for Numerical Methods in Engineering, Issue Volume 125, Issue 11, 2024, ISSN 0029-5981
Publisher: Wiley
DOI: 10.1002/nme.7459

Generating microstructures of long fiber reinforced composites by the fused sequential addition and migration method

Author(s): Celine Lauff; Matti Schneider; John Montesano; Thomas Böhlke
Published in: International Journal for Numerical Methods in Engineering, Issue Volume 125, Issue 22, 2024, ISSN 0029-5981
Publisher: John Wiley & Sons Inc.
DOI: 10.1002/nme.7573

A consistent discretization via the finite radon transform for FFT-based computational micromechanics

Author(s): Lukas Jabs; Matti Schneider
Published in: Computational Mechanics, 2024, ISSN 1432-0924
Publisher: Springer
DOI: 10.1007/s00466-024-02542-9

On the Influence of the Fiber Curvature on the Stiffness of Long Fiber Reinforced Composites

Author(s): Celine Lauff, Maximilian Krause, Matti Schneider, Thomas Böhlke
Published in: International Journal for Numerical Methods in Engineering, Issue 126, 2025, ISSN 0029-5981
Publisher: Wiley
DOI: 10.1002/NME.70094

On fully symmetric implicit closure approximations for fiber orientation tensors

Author(s): Tobias Karl; Matti Schneider; Thomas Böhlke
Published in: Journal of Non-Newtonian Fluid Mechanics, Issue Volume 318, 2023, ISSN 1873-2631
Publisher: Elsevier
DOI: 10.1016/j.jnnfm.2023.105049

Computing laminate composite voxel properties using Mirtich formulas

Author(s): Jonas Lendvai; Matti Schneider
Published in: Proceedings in Applied Mathematics and Mechanics, Issue Volume 24, Issue 3, 2024, ISSN 1617-7061
Publisher: Wiley
DOI: 10.1002/pamm.202400191

Universal Fourier Neural Operators for periodic homogenization problems in linear elasticity

Author(s): Binh Huy Nguyen, Matti Schneider
Published in: Journal of the Mechanics and Physics of Solids, Issue 206, 2025, ISSN 0022-5096
Publisher: Elsevier BV
DOI: 10.1016/J.JMPS.2025.106418

Limitations and merits of wavelet discretizations in FFT-based computational micromechanics

Author(s): Mohit Dave, Elodie Donval, Matti Schneider
Published in: Computational Mechanics, 2026, ISSN 0178-7675
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S00466-026-02752-3

Accurate and consistent composite voxel methods for digital images in computational micromechanics

Author(s): Jonas Lendvai, Matthias Kabel, Matti Schneider
Published in: Computational Mechanics, 2025, ISSN 0178-7675
Publisher: Springer Science and Business Media LLC
DOI: 10.1007/S00466-025-02716-Z

Microstructure generation of long fiber reinforced hybrid composites using the fused sequential addition and migration method

Author(s): Celine Lauff, Matti Schneider, Thomas Böhlke
Published in: Journal of Thermoplastic Composite Materials, 2025, ISSN 0892-7057
Publisher: SAGE Publications
DOI: 10.1177/08927057251314425

Adaptive material evaluation by stabilized octree and sandwich coarsening in FFT-based computational micromechanics

Author(s): Matthias Kabel; Matti Schneider
Published in: International Journal of Numerical Methods in Engineering, Issue Volume 125, Issue 5, 2023, ISSN 0029-5981
Publisher: Wiley
DOI: 10.1002/nme.7399

A comparison of numerical methods for computing the exact closure for short-fiber composites

Author(s): Alok Mehta; Matti Schneider
Published in: Proceedings in Applied Mathematics and Mechanics, Issue Volume 24, Issue 4, 2024, ISSN 1617-7061
Publisher: Wiley
DOI: 10.1002/pamm.202400202

Conference proceedings (1)

Level-set based composite voxels for FFT-based computational homogenization of thermal conductivity

Author(s): J. Lendvai, M. Schneider
Published in: 16th World Congress on Computational Mechanics and 4th Pan American Congress on Computational Mechanics, 2025
Publisher: CIMNE
DOI: 10.23967/ECCOMAS.2024.118