A review of nonlinear FFT-based computational homogenization methods

M Schneider - Acta Mechanica, 2021 - Springer
Since their inception, computational homogenization methods based on the fast Fourier
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …

Current challenges and opportunities in microstructure-related properties of advanced high-strength steels

D Raabe, B Sun, A Kwiatkowski Da Silva… - … Materials Transactions A, 2020 - Springer
This is a viewpoint paper on recent progress in the understanding of the microstructure–
property relations of advanced high-strength steels (AHSS). These alloys constitute a class …

[HTML][HTML] DAMASK–The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single …

F Roters, M Diehl, P Shanthraj, P Eisenlohr… - Computational Materials …, 2019 - Elsevier
Crystal Plasticity (CP) modeling is a powerful and well established computational materials
science tool to investigate mechanical structure–property relations in crystalline materials. It …

Three-dimensional convolutional neural network (3D-CNN) for heterogeneous material homogenization

C Rao, Y Liu - Computational Materials Science, 2020 - Elsevier
Homogenization is a technique commonly used in multiscale computational science and
engineering for predicting collective response of heterogeneous materials and extracting …

Teaching solid mechanics to artificial intelligence—a fast solver for heterogeneous materials

JR Mianroodi, N H. Siboni, D Raabe - Npj Computational Materials, 2021 - nature.com
We propose a deep neural network (DNN) as a fast surrogate model for local stress
calculations in inhomogeneous non-linear materials. We show that the DNN predicts the …

Strain localization and damage in dual phase steels investigated by coupled in-situ deformation experiments and crystal plasticity simulations

CC Tasan, JPM Hoefnagels, M Diehl, D Yan… - International Journal of …, 2014 - Elsevier
Ferritic–martensitic dual phase (DP) steels deform spatially in a highly heterogeneous
manner, ie with strong strain and stress partitioning at the micro-scale. Such heterogeneity in …

Modeling structure-property relationships with convolutional neural networks: Yield surface prediction based on microstructure images

JN Heidenreich, MB Gorji, D Mohr - International Journal of Plasticity, 2023 - Elsevier
The use of micromechanics in conjunction with homogenization theory allows for the
prediction of the effective mechanical properties of materials based on microstructural …

Integrated experimental–simulation analysis of stress and strain partitioning in multiphase alloys

CC Tasan, M Diehl, D Yan, C Zambaldi, P Shanthraj… - Acta Materialia, 2014 - Elsevier
The mechanical response of multiphase alloys is governed by the microscopic strain and
stress partitioning behavior among microstructural constituents. However, due to limitations …

FFT based approaches in micromechanics: fundamentals, methods and applications

S Lucarini, MV Upadhyay… - Modelling and Simulation …, 2021 - iopscience.iop.org
FFT methods have become a fundamental tool in computational micromechanics since they
were first proposed in 1994 by Moulinec and Suquet for the homogenization of composites …

[HTML][HTML] Finite strain crystal plasticity-phase field modeling of twin, dislocation, and grain boundary interaction in hexagonal materials

C Liu, F Roters, D Raabe - Acta Materialia, 2023 - Elsevier
Twin, dislocation, and grain boundary interaction in hexagonal materials, such as Mg, Ti,
and Zr, has critical influence on the materials' mechanical properties. The development of a …