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Assumed strain methods in micromechanics, laminate composite voxels and level sets.
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- International Journal for Numerical Methods in Engineering, 2024, v. 125, n. 11, p. 1, doi. 10.1002/nme.7459
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On the effectiveness of deep material networks for the multi-scale virtual characterization of short fiber-reinforced thermoplastics under highly nonlinear load cases.
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- Archive of Applied Mechanics, 2024, v. 94, n. 5, p. 1177, doi. 10.1007/s00419-024-02558-w
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Imposing different boundary conditions for thermal computational homogenization problems with FFT‐ and tensor‐train‐based Green's operator methods.
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- International Journal for Numerical Methods in Engineering, 2024, v. 125, n. 7, p. 1, doi. 10.1002/nme.7423
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Adaptive material evaluation by stabilized octree and sandwich coarsening in FFT‐based computational micromechanics.
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- International Journal for Numerical Methods in Engineering, 2024, v. 125, n. 5, p. 1, doi. 10.1002/nme.7399
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- Article
Accounting for weak interfaces in computing the effective crack energy of heterogeneous materials using the composite voxel technique.
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- Archive of Applied Mechanics, 2023, v. 93, n. 10, p. 3983, doi. 10.1007/s00419-023-02472-7
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On the effectiveness of the Moulinec–Suquet discretization for composite materials.
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- International Journal for Numerical Methods in Engineering, 2023, v. 124, n. 14, p. 3191, doi. 10.1002/nme.7244
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Accounting for viscoelastic effects in a multiscale fatigue model for the degradation of the dynamic stiffness of short-fiber reinforced thermoplastics.
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- Computational Mechanics, 2023, v. 71, n. 3, p. 493, doi. 10.1007/s00466-022-02246-y
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Material‐informed training of viscoelastic deep material networks.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2023, v. 22, n. 1, p. 1, doi. 10.1002/pamm.202200143
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Factors influencing the dynamic stiffness in short‐fiber reinforced polymers.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2023, v. 22, n. 1, p. 1, doi. 10.1002/pamm.202200071
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Solving phase‐field fracture problems in the tensor train format.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2023, v. 22, n. 1, p. 1, doi. 10.1002/pamm.202200098
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Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials.
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- International Journal for Numerical Methods in Engineering, 2023, v. 124, n. 4, p. 959, doi. 10.1002/nme.7149
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Investigations on the influence of the boundary conditions when computing the effective crack energy of random heterogeneous materials using fast marching methods.
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- Computational Mechanics, 2023, v. 71, n. 2, p. 277, doi. 10.1007/s00466-022-02241-3
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- Article
Characterizing digital microstructures by the Minkowski‐based quadratic normal tensor.
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- Mathematical Methods in the Applied Sciences, 2023, v. 46, n. 1, p. 961, doi. 10.1002/mma.8560
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An algorithm for generating microstructures of fiber‐reinforced composites with long fibers.
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- International Journal for Numerical Methods in Engineering, 2022, v. 123, n. 24, p. 6197, doi. 10.1002/nme.7110
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Voxel‐based finite elements with hourglass control in fast Fourier transform‐based computational homogenization.
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- International Journal for Numerical Methods in Engineering, 2022, v. 123, n. 24, p. 6286, doi. 10.1002/nme.7114
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A sequential addition and migration method for generating microstructures of short fibers with prescribed length distribution.
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- Computational Mechanics, 2022, v. 70, n. 4, p. 829, doi. 10.1007/s00466-022-02201-x
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Training deep material networks to reproduce creep loading of short fiber-reinforced thermoplastics with an inelastically-informed strategy.
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- Archive of Applied Mechanics, 2022, v. 92, n. 9, p. 2733, doi. 10.1007/s00419-022-02213-2
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Generating polycrystalline microstructures with prescribed tensorial texture coefficients.
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- Computational Mechanics, 2022, v. 70, n. 3, p. 639, doi. 10.1007/s00466-022-02186-7
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An FE-DMN method for the multiscale analysis of thermomechanical composites.
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- Computational Mechanics, 2022, v. 69, n. 5, p. 1087, doi. 10.1007/s00466-021-02131-0
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Computing the effective crack energy of heterogeneous and anisotropic microstructures via anisotropic minimal surfaces.
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- Computational Mechanics, 2022, v. 69, n. 1, p. 45, doi. 10.1007/s00466-021-02082-6
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Computing the effective crack energy of microstructures via quadratic cone solvers.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2021, v. 21, n. 1, p. 1, doi. 10.1002/pamm.202100100
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Efficient two‐scale simulations of microstructured materials using deep material networks.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2021, v. 21, n. 1, p. 1, doi. 10.1002/pamm.202100069
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A fast Fourier transform based method for computing the effective crack energy of a heterogeneous material on a combinatorially consistent grid.
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- International Journal for Numerical Methods in Engineering, 2021, v. 122, n. 21, p. 6283, doi. 10.1002/nme.6792
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A review of nonlinear FFT-based computational homogenization methods.
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- Acta Mechanica, 2021, v. 232, n. 6, p. 2051, doi. 10.1007/s00707-021-02962-1
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Anderson‐accelerated polarization schemes for fast Fourier transform‐based computational homogenization.
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- International Journal for Numerical Methods in Engineering, 2021, v. 122, n. 9, p. 2287, doi. 10.1002/nme.6622
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Computing the effective response of heterogeneous materials with thermomechanically coupled constituents by an implicit fast Fourier transform‐based approach.
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- International Journal for Numerical Methods in Engineering, 2021, v. 122, n. 5, p. 1307, doi. 10.1002/nme.6579
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A multi‐scale fatigue‐damage model for fiber‐reinforced polymers.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2021, v. 20, n. 1, p. 1, doi. 10.1002/pamm.202000091
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Lippmann‐Schwinger solvers for the computational homogenization of materials with pores.
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- International Journal for Numerical Methods in Engineering, 2020, v. 121, n. 22, p. 5017, doi. 10.1002/nme.6508
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A dynamical view of nonlinear conjugate gradient methods with applications to FFT-based computational micromechanics.
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- Computational Mechanics, 2020, v. 66, n. 1, p. 239, doi. 10.1007/s00466-020-01849-7
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On Quasi‐Newton methods in fast Fourier transform‐based micromechanics.
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- International Journal for Numerical Methods in Engineering, 2020, v. 121, n. 8, p. 1665, doi. 10.1002/nme.6283
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An FFT‐based method for computing weighted minimal surfaces in microstructures with applications to the computational homogenization of brittle fracture.
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- International Journal for Numerical Methods in Engineering, 2020, v. 121, n. 7, p. 1367, doi. 10.1002/nme.6270
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The explicit jump discretization with Lippmann‐Schwinger solvers for thermal computational homogenization problems.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2019, v. 19, n. 1, p. N.PAG, doi. 10.1002/pamm.201900172
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An FFT‐based solver for brittle fracture on heterogeneous microstructures.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2019, v. 19, n. 1, p. N.PAG, doi. 10.1002/pamm.201900151
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On polarization-based schemes for the FFT-based computational homogenization of inelastic materials.
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- Computational Mechanics, 2019, v. 64, n. 4, p. 1073, doi. 10.1007/s00466-019-01694-3
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Lippmann‐Schwinger solvers for the explicit jump discretization for thermal computational homogenization problems.
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- International Journal for Numerical Methods in Engineering, 2019, v. 118, n. 11, p. 631, doi. 10.1002/nme.6030
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On the Barzilai‐Borwein basic scheme in FFT‐based computational homogenization.
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- International Journal for Numerical Methods in Engineering, 2019, v. 118, n. 8, p. 482, doi. 10.1002/nme.6023
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- Article
Fiber orientation interpolation for the multiscale analysis of short fiber reinforced composite parts.
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- Computational Mechanics, 2018, v. 61, n. 6, p. 729, doi. 10.1007/s00466-017-1478-0
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A fiber orientation-adapted integration scheme for computing the hyperelastic Tucker average for short fiber reinforced composites.
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- Computational Mechanics, 2017, v. 60, n. 4, p. 595, doi. 10.1007/s00466-017-1425-0
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Beyond polyconvexity: an existence result for a class of quasiconvex hyperelastic materials.
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- Mathematical Methods in the Applied Sciences, 2017, v. 40, n. 6, p. 2084, doi. 10.1002/mma.4123
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FFT-based homogenization for microstructures discretized by linear hexahedral elements.
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- International Journal for Numerical Methods in Engineering, 2017, v. 109, n. 10, p. 1461, doi. 10.1002/nme.5336
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The sequential addition and migration method to generate representative volume elements for the homogenization of short fiber reinforced plastics.
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- Computational Mechanics, 2017, v. 59, n. 2, p. 247, doi. 10.1007/s00466-016-1350-7
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On the effective viscosity of a periodic suspension - analysis of primal and dual formulations for Newtonian and non-Newtonian solvents.
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- Mathematical Methods in the Applied Sciences, 2016, v. 39, n. 12, p. 3309, doi. 10.1002/mma.3775
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Computational homogenization of elasticity on a staggered grid.
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- International Journal for Numerical Methods in Engineering, 2016, v. 105, n. 9, p. 693, doi. 10.1002/nme.5008
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Mixed boundary conditions for FFT-based homogenization at finite strains.
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- Computational Mechanics, 2016, v. 57, n. 2, p. 193, doi. 10.1007/s00466-015-1227-1
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Convergence of FFT-based homogenization for strongly heterogeneous media.
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- Mathematical Methods in the Applied Sciences, 2015, v. 38, n. 13, p. 2761, doi. 10.1002/mma.3259
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Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations.
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- Computational Mechanics, 2014, v. 54, n. 6, p. 1497, doi. 10.1007/s00466-014-1071-8
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Voxel-based fast solution of the Lippmann-Schwinger equation with smooth material interfaces.
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- PAMM: Proceedings in Applied Mathematics & Mechanics, 2014, v. 14, n. 1, p. 579, doi. 10.1002/pamm.201410277
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The topological gradient in anisotropic elasticity with an eye towards lightweight design.
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- Mathematical Methods in the Applied Sciences, 2014, v. 37, n. 11, p. 1624, doi. 10.1002/mma.2918
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