A review on data-driven constitutive laws for solids
This review article highlights state-of-the-art data-driven techniques to discover, encode,
surrogate, or emulate constitutive laws that describe the path-independent and path …
surrogate, or emulate constitutive laws that describe the path-independent and path …
Machine learning applications in sheet metal constitutive Modelling: A review
The numerical simulation of sheet metal forming processes depends on the accuracy of the
constitutive model used to represent the mechanical behaviour of the materials. The …
constitutive model used to represent the mechanical behaviour of the materials. The …
Sobolev training of thermodynamic-informed neural networks for interpretable elasto-plasticity models with level set hardening
We introduce a deep learning framework designed to train smoothed elastoplasticity models
with interpretable components, such as the stored elastic energy function, yield surface, and …
with interpretable components, such as the stored elastic energy function, yield surface, and …
Geometric learning for computational mechanics Part II: Graph embedding for interpretable multiscale plasticity
The history-dependent behaviors of classical plasticity models are often driven by internal
variables evolved according to phenomenological laws. The difficulty to interpret how these …
variables evolved according to phenomenological laws. The difficulty to interpret how these …
Towards data-driven constitutive modelling for granular materials via micromechanics-informed deep learning
The analytical description of path-dependent elastic-plastic responses of a granular system
is highly complicated because of continuously evolving microstructures and strain …
is highly complicated because of continuously evolving microstructures and strain …
Knowledge extraction and transfer in data-driven fracture mechanics
Data-driven approaches promise to usher in a new phase of development in fracture
mechanics, but very little is currently known about how data-driven knowledge extraction …
mechanics, but very little is currently known about how data-driven knowledge extraction …
Physics-informed deep learning for traffic state estimation: A survey and the outlook
For its robust predictive power (compared to pure physics-based models) and sample-
efficient training (compared to pure deep learning models), physics-informed deep learning …
efficient training (compared to pure deep learning models), physics-informed deep learning …
Discovering interpretable elastoplasticity models via the neural polynomial method enabled symbolic regressions
Conventional neural network elastoplasticity models are often perceived as lacking
interpretability. This paper introduces a two-step machine learning approach that returns …
interpretability. This paper introduces a two-step machine learning approach that returns …
A neural kernel method for capturing multiscale high-dimensional micromorphic plasticity of materials with internal structures
This paper introduces a neural kernel method to generate machine learning plasticity
models for micropolar and micromorphic materials that lack material symmetry and have …
models for micropolar and micromorphic materials that lack material symmetry and have …
Neural networks for constitutive modeling: From universal function approximators to advanced models and the integration of physics
Analyzing and modeling the constitutive behavior of materials is a core area in materials
sciences and a prerequisite for conducting numerical simulations in which the material …
sciences and a prerequisite for conducting numerical simulations in which the material …