A deep learning driven pseudospectral PCE based FFT homogenization algorithm for complex microstructures

Operator learning for predicting multiscale bubble growth dynamics

(2021) Chensen Lin et al.   JOURNAL OF CHEMICAL PHYSICS

A variational fast Fourier transform method for phase-transforming materials

(2021) Aitor Cruzado et al.   MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING

FFT-based homogenisation accelerated by low-rank tensor approximations

(2020) Jaroslav Vondřejc et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Mean-field and full-field homogenization with polymorphic uncertain geometry and material parameters

(2020) Ismail Caylak et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

A Review of the Application of Machine Learning and Data Mining Approaches in Continuum Materials Mechanics

(2019) Frederic E. Bock et al.   Frontiers in Materials

Deep neural network method for predicting the mechanical properties of composites

(2019) Sang Ye et al.   APPLIED PHYSICS LETTERS

Predicting the mechanical response of oligocrystals with deep learning

(2019) A.L. Frankel et al.   COMPUTATIONAL MATERIALS SCIENCE

Energy-based comparison between the Fourier-Galerkin method and the finite element method

(2019) Jaroslav Vondřejc et al.   JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

Deep learning approaches for mining structure-property linkages in high contrast composites from simulation datasets

(2018) Zijiang Yang et al.   COMPUTATIONAL MATERIALS SCIENCE

Generation of 3D representative volume elements for heterogeneous materials: A review

(2018) Swantje Bargmann et al.   PROGRESS IN MATERIALS SCIENCE

Deep UQ: Learning deep neural network surrogate models for high dimensional uncertainty quantification

(2018) Rohit K. Tripathy et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Physics-informed neural networks: A deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations

(2018) M. Raissi et al.   JOURNAL OF COMPUTATIONAL PHYSICS

A finite element perspective on nonlinear FFT-based micromechanical simulations

(2017) J. Zeman et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Homogenization of linear elastic properties of short-fiber reinforced composites – A comparison of mean field and voxel-based methods

(2015) Viktor Müller et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Chaospy: An open source tool for designing methods of uncertainty quantification

(2015) Jonathan Feinberg et al.   Journal of Computational Science

An FFT-based Galerkin method for homogenization of periodic media

(2014) Jaroslav Vondřejc et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Stochastic Model and Generator for Random Fields with Symmetry Properties: Application to the Mesoscopic Modeling of Elastic Random Media

(2013) J. Guilleminot et al.   MULTISCALE MODELING & SIMULATION

Uncertainty quantification in computational stochastic multiscale analysis of nonlinear elastic materials

(2012) A. Clément et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

VALIDATION OF A PROBABILISTIC MODEL FOR MESOSCALE ELASTICITY TENSOR OF RANDOM POLYCRYSTALS

(2012) Arash Noshadravan et al.   International Journal for Uncertainty Quantification

Uncertainty quantification in homogenization of heterogeneous microstructures modeled by XFEM

(2011) Badri Hiriyur et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A multi-scale spectral stochastic method for homogenization of multi-phase periodic composites with random material properties

(2010) M. Tootkaboni et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Aleatory or epistemic? Does it matter?

(2008) Armen Der Kiureghian et al.   STRUCTURAL SAFETY

Tensor-valued random fields for meso-scale stochastic model of anisotropic elastic microstructure and probabilistic analysis of representative volume element size

(2007) C. Soize   PROBABILISTIC ENGINEERING MECHANICS