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Mesoscopic and multiscale modelling in materials
The concept of multiscale modelling has emerged over the last few decades to describe
procedures that seek to simulate continuum-scale behaviour using information gleaned from …
procedures that seek to simulate continuum-scale behaviour using information gleaned from …
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 …
Polyconvex anisotropic hyperelasticity with neural networks
In the present work, two machine learning based constitutive models for finite deformations
are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic …
are proposed. Using input convex neural networks, the models are hyperelastic, anisotropic …
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 …
De novo composite design based on machine learning algorithm
Composites are widely used to create tunable materials to achieve superior mechanical
properties. Brittle materials fail catastrophically in the presence of cracks. Incorporating …
properties. Brittle materials fail catastrophically in the presence of cracks. Incorporating …
A deep energy method for finite deformation hyperelasticity
We present a deep energy method for finite deformation hyperelasticitiy using deep neural
networks (DNNs). The method avoids entirely a discretization such as FEM. Instead, the …
networks (DNNs). The method avoids entirely a discretization such as FEM. Instead, the …
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 …
A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning
Many geological materials, such as shale, mudstone, carbonate rock, limestone and rock
salt are multi-porosity porous media in which pores of different scales may co-exist in the …
salt are multi-porosity porous media in which pores of different scales may co-exist in the …
Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials
The discovery of efficient and accurate descriptions for the macroscopic behavior of
materials with complex microstructure is an outstanding challenge in mechanics of …
materials with complex microstructure is an outstanding challenge in mechanics of …
A deep material network for multiscale topology learning and accelerated nonlinear modeling of heterogeneous materials
In this paper, a new data-driven multiscale material modeling method, which we refer to as
deep material network, is developed based on mechanistic homogenization theory of …
deep material network, is developed based on mechanistic homogenization theory of …