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A review of nonlinear FFT-based computational homogenization methods
Since their inception, computational homogenization methods based on the fast Fourier
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …
A review of predictive nonlinear theories for multiscale modeling of heterogeneous materials
Since the beginning of the industrial age, material performance and design have been in the
midst of innovation of many disruptive technologies. Today's electronics, space, medical …
midst of innovation of many disruptive technologies. Today's electronics, space, medical …
A framework for data-driven analysis of materials under uncertainty: Countering the curse of dimensionality
A new data-driven computational framework is developed to assist in the design and
modeling of new material systems and structures. The proposed framework integrates three …
modeling of new material systems and structures. The proposed framework integrates three …
A recurrent neural network-accelerated multi-scale model for elasto-plastic heterogeneous materials subjected to random cyclic and non-proportional loading paths
Abstract An artificial Neural Network (NNW) is designed to serve as a surrogate model of
micro-scale simulations in the context of multi-scale analyses in solid mechanics. The …
micro-scale simulations in the context of multi-scale analyses in solid mechanics. The …
[HTML][HTML] Multi-scale computational homogenization: Trends and challenges
In the past decades, considerable progress had been made in bridging the mechanics of
materials to other disciplines, eg downscaling to the field of materials science or upscaling to …
materials to other disciplines, eg downscaling to the field of materials science or upscaling to …
Physics-informed Neural Networks (PINN) for computational solid mechanics: Numerical frameworks and applications
For solving the computational solid mechanics problems, despite significant advances have
been achieved through the numerical discretization of partial differential equations (PDEs) …
been achieved through the numerical discretization of partial differential equations (PDEs) …
An approach to micro-macro modeling of heterogeneous materials
A micro-macro strategy suitable for modeling the mechanical response of heterogeneous
materials at large deformations and non-linear history dependent material behaviour is …
materials at large deformations and non-linear history dependent material behaviour is …
Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
A gradient‐enhanced computational homogenization procedure, that allows for the
modelling of microstructural size effects, is proposed within a general non‐linear framework …
modelling of microstructural size effects, is proposed within a general non‐linear framework …
Aspects of computational homogenization at finite deformations: a unifying review from Reuss' to Voigt's bound
The objective of this contribution is to present a unifying review on strain-driven
computational homogenization at finite strains, thereby elaborating on computational …
computational homogenization at finite strains, thereby elaborating on computational …
Homogenization methods and multiscale modeling: nonlinear problems
This article focuses on computational multiscale methods for the mechanical response of
nonlinear heterogeneous materials. After a short historical note, a brief overview is given of …
nonlinear heterogeneous materials. After a short historical note, a brief overview is given of …