Schneider, Matti On the effectiveness of the Moulinec-Suquet discretization for composite materials. (English) Zbl 07770642 Int. J. Numer. Methods Eng. 124, No. 14, 3191-3218 (2023). MSC: 74S25 74Q05 74E30 65N12 PDFBibTeX XMLCite \textit{M. Schneider}, Int. J. Numer. Methods Eng. 124, No. 14, 3191--3218 (2023; Zbl 07770642) Full Text: DOI OA License
Schneider, Matti Voxel-based finite elements with hourglass control in fast Fourier transform-based computational homogenization. (English) Zbl 07769265 Int. J. Numer. Methods Eng. 123, No. 24, 6286-6313 (2022). MSC: 74Sxx 74Qxx 65Nxx PDFBibTeX XMLCite \textit{M. Schneider}, Int. J. Numer. Methods Eng. 123, No. 24, 6286--6313 (2022; Zbl 07769265) Full Text: DOI OA License
Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas An FE-DMN method for the multiscale analysis of thermomechanical composites. (English) Zbl 1491.74094 Comput. Mech. 69, No. 5, 1087-1113 (2022). MSC: 74S05 74S99 74E30 74F05 74Q99 PDFBibTeX XMLCite \textit{S. Gajek} et al., Comput. Mech. 69, No. 5, 1087--1113 (2022; Zbl 1491.74094) Full Text: DOI arXiv
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. (English) Zbl 1507.74037 Comput. Methods Appl. Mech. Eng. 388, Article ID 114198, 33 p. (2022). MSC: 74A45 74C05 PDFBibTeX XMLCite \textit{N. Magino} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114198, 33 p. (2022; Zbl 1507.74037) Full Text: DOI
Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas An FE-DMN method for the multiscale analysis of short fiber reinforced plastic components. (English) Zbl 1506.74089 Comput. Methods Appl. Mech. Eng. 384, Article ID 113952, 30 p. (2021). MSC: 74E30 74S05 65N30 PDFBibTeX XMLCite \textit{S. Gajek} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113952, 30 p. (2021; Zbl 1506.74089) Full Text: DOI arXiv
Schneider, Matti A review of nonlinear FFT-based computational homogenization methods. (English) Zbl 1491.74099 Acta Mech. 232, No. 6, 2051-2100 (2021). MSC: 74S25 74Q05 74Q10 74-02 PDFBibTeX XMLCite \textit{M. Schneider}, Acta Mech. 232, No. 6, 2051--2100 (2021; Zbl 1491.74099) Full Text: 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. (English) Zbl 1506.74063 Comput. Methods Appl. Mech. Eng. 373, Article ID 113522, 36 p. (2021). MSC: 74C05 74F05 PDFBibTeX XMLCite \textit{J. Köbler} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113522, 36 p. (2021; Zbl 1506.74063) Full Text: DOI
Gajek, Sebastian; Schneider, Matti; Böhlke, Thomas On the micromechanics of deep material networks. (English) Zbl 1516.74006 J. Mech. Phys. Solids 142, Article ID 103984, 36 p. (2020). MSC: 74A60 PDFBibTeX XMLCite \textit{S. Gajek} et al., J. Mech. Phys. Solids 142, Article ID 103984, 36 p. (2020; Zbl 1516.74006) Full Text: DOI
Schneider, Matti A dynamical view of nonlinear conjugate gradient methods with applications to FFT-based computational micromechanics. (English) Zbl 1464.74376 Comput. Mech. 66, No. 1, 239-257 (2020). MSC: 74S25 74M25 PDFBibTeX XMLCite \textit{M. Schneider}, Comput. Mech. 66, No. 1, 239--257 (2020; Zbl 1464.74376) Full Text: DOI
Ernesti, Felix; Schneider, Matti; Böhlke, Thomas Fast implicit solvers for phase-field fracture problems on heterogeneous microstructures. (English) Zbl 1436.74062 Comput. Methods Appl. Mech. Eng. 363, Article ID 112793, 33 p. (2020). MSC: 74R10 74M25 74S05 PDFBibTeX XMLCite \textit{F. Ernesti} et al., Comput. Methods Appl. Mech. Eng. 363, Article ID 112793, 33 p. (2020; Zbl 1436.74062) Full Text: DOI
Schneider, Matti On the mathematical foundations of the self-consistent clustering analysis for non-linear materials at small strains. (English) Zbl 1441.74043 Comput. Methods Appl. Mech. Eng. 354, 783-801 (2019). MSC: 74C10 74E30 74M25 PDFBibTeX XMLCite \textit{M. Schneider}, Comput. Methods Appl. Mech. Eng. 354, 783--801 (2019; Zbl 1441.74043) Full Text: DOI
Köbler, Jonathan; Schneider, Matti; Ospald, Felix; Andrä, Heiko; Müller, Ralf Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts. (English) Zbl 1446.74024 Comput. Mech. 61, No. 6, 729-750 (2018). MSC: 74-10 74D10 74A40 74Q05 74S25 PDFBibTeX XMLCite \textit{J. Köbler} et al., Comput. Mech. 61, No. 6, 729--750 (2018; Zbl 1446.74024) Full Text: DOI
Goldberg, Niels; Ospald, Felix; Schneider, Matti A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites. (English) Zbl 1386.74040 Comput. Mech. 60, No. 4, 595-611 (2017). MSC: 74E30 74Q05 74B20 PDFBibTeX XMLCite \textit{N. Goldberg} et al., Comput. Mech. 60, No. 4, 595--611 (2017; Zbl 1386.74040) Full Text: 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. (English) Zbl 1439.74323 Comput. Methods Appl. Mech. Eng. 309, 476-496 (2016). MSC: 74Q05 74S05 65N30 PDFBibTeX XMLCite \textit{M. Kabel} et al., Comput. Methods Appl. Mech. Eng. 309, 476--496 (2016; Zbl 1439.74323) Full Text: DOI
Kabel, Matthias; Fliegener, Sascha; Schneider, Matti Mixed boundary conditions for FFT-based homogenization at finite strains. (English) Zbl 1359.74356 Comput. Mech. 57, No. 2, 193-210 (2016). MSC: 74Q05 35Q74 74E30 45G10 65T50 74B20 PDFBibTeX XMLCite \textit{M. Kabel} et al., Comput. Mech. 57, No. 2, 193--210 (2016; Zbl 1359.74356) Full Text: DOI
Kabel, Matthias; Merkert, Dennis; Schneider, Matti Use of composite voxels in FFT-based homogenization. (English) Zbl 1423.74097 Comput. Methods Appl. Mech. Eng. 294, 168-188 (2015). MSC: 74B05 74E30 74Q15 45A05 65T50 74M25 74S25 PDFBibTeX XMLCite \textit{M. Kabel} et al., Comput. Methods Appl. Mech. Eng. 294, 168--188 (2015; Zbl 1423.74097) Full Text: DOI
Schneider, Matti Convergence of FFT-based homogenization for strongly heterogeneous media. (English) Zbl 1328.65256 Math. Methods Appl. Sci. 38, No. 13, 2761-2778 (2015). MSC: 65N35 65R20 65T40 74B05 PDFBibTeX XMLCite \textit{M. Schneider}, Math. Methods Appl. Sci. 38, No. 13, 2761--2778 (2015; Zbl 1328.65256) Full Text: DOI
Kabel, Matthias; Böhlke, Thomas; Schneider, Matti Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations. (English) Zbl 1309.74013 Comput. Mech. 54, No. 6, 1497-1514 (2014). MSC: 74B20 45G10 65T50 PDFBibTeX XMLCite \textit{M. Kabel} et al., Comput. Mech. 54, No. 6, 1497--1514 (2014; Zbl 1309.74013) Full Text: DOI