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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 …
Physics‐constrained symbolic model discovery for polyconvex incompressible hyperelastic materials
We present a machine learning framework capable of consistently inferring mathematical
expressions of hyperelastic energy functionals for incompressible materials from sparse …
expressions of hyperelastic energy functionals for incompressible materials from sparse …
A publicly available PyTorch-ABAQUS UMAT deep-learning framework for level-set plasticity
This paper introduces a publicly available PyTorch-ABAQUS deep-learning framework of a
family of plasticity models where the yield surface is implicitly represented by a scalar …
family of plasticity models where the yield surface is implicitly represented by a scalar …
Data-driven methods for computational mechanics: A fair comparison between neural networks based and model-free approaches
We present a comparison between two approaches to modelling hyperelastic material
behaviour using data. The first approach is a novel approach based on Data-driven …
behaviour using data. The first approach is a novel approach based on Data-driven …
[HTML][HTML] N-adaptive ritz method: A neural network enriched partition of unity for boundary value problems
Conventional finite element methods are known to be tedious in adaptive refinements due to
their conformal regularity requirements. Further, the enrichment functions for adaptive …
their conformal regularity requirements. Further, the enrichment functions for adaptive …
Neural Chaos: A Spectral Stochastic Neural Operator
Building surrogate models with uncertainty quantification capabilities is essential for many
engineering applications where randomness, such as variability in material properties, is …
engineering applications where randomness, such as variability in material properties, is …
[HTML][HTML] Data-driven modeling of an unsaturated bentonite buffer model test under high temperatures using an enhanced axisymmetric reproducing kernel particle …
In deep geological repositories for high level nuclear waste with close canister spacings,
bentonite buffers can experience temperatures higher than 100° C. In this range of extreme …
bentonite buffers can experience temperatures higher than 100° C. In this range of extreme …
A graph-based model-free data-driven computing approach for inelasticity: Application to elastoplasticity
H Dandin - 2024 - theses.hal.science
In structural analysis, the mechanical response of a material is usually approximated with a
constitutive model, ie a mathematical relation between strains and stresses. This …
constitutive model, ie a mathematical relation between strains and stresses. This …