Reduced and all-at-once approaches for model calibration and discovery in computational solid mechanics
In the framework of solid mechanics, the task of deriving material parameters from
experimental data has recently re-emerged with the progress in full-field measurement …
experimental data has recently re-emerged with the progress in full-field measurement …
[HTML][HTML] Thermodynamics of learning physical phenomena
E Cueto, F Chinesta - Archives of Computational Methods in Engineering, 2023 - Springer
Thermodynamics could be seen as an expression of physics at a high epistemic level. As
such, its potential as an inductive bias to help machine learning procedures attain accurate …
such, its potential as an inductive bias to help machine learning procedures attain accurate …
On automated model discovery and a universal material subroutine for hyperelastic materials
Constitutive modeling is the cornerstone of computational and structural mechanics. In a
finite element analysis, the constitutive model is encoded in the material subroutine, a …
finite element analysis, the constitutive model is encoded in the material subroutine, a …
Benchmarking physics-informed frameworks for data-driven hyperelasticity
Data-driven methods have changed the way we understand and model materials. However,
while providing unmatched flexibility, these methods have limitations such as reduced …
while providing unmatched flexibility, these methods have limitations such as reduced …
[HTML][HTML] Automated identification of linear viscoelastic constitutive laws with EUCLID
We extend EUCLID, a computational strategy for automated material model discovery and
identification, to linear viscoelasticity. For this case, we perform a priori model selection by …
identification, to linear viscoelasticity. For this case, we perform a priori model selection by …
[HTML][HTML] Neural network-based multiscale modeling of finite strain magneto-elasticity with relaxed convexity criteria
We present a framework for the multiscale modeling of finite strain magneto-elasticity based
on physics-augmented neural networks (NNs). By using a set of problem specific invariants …
on physics-augmented neural networks (NNs). By using a set of problem specific invariants …
Data-driven anisotropic finite viscoelasticity using neural ordinary differential equations
We develop a fully data-driven model of anisotropic finite viscoelasticity using neural
ordinary differential equations as building blocks. We replace the Helmholtz free energy …
ordinary differential equations as building blocks. We replace the Helmholtz free energy …
Extreme sparsification of physics-augmented neural networks for interpretable model discovery in mechanics
Data-driven constitutive modeling with neural networks has received increased interest in
recent years due to its ability to easily incorporate physical and mechanistic constraints and …
recent years due to its ability to easily incorporate physical and mechanistic constraints and …
[HTML][HTML] Theory and implementation of inelastic constitutive artificial neural networks
The two fundamental concepts of materials theory, pseudo potentials and the assumption of
a multiplicative decomposition, allow a general description of inelastic material behavior …
a multiplicative decomposition, allow a general description of inelastic material behavior …
Spiking recurrent neural networks for neuromorphic computing in nonlinear structural mechanics
SB Tandale, M Stoffel - Computer Methods in Applied Mechanics and …, 2023 - Elsevier
The present study aims to introduce an AI algorithm suitable for neuromorphic computing to
solve Boundary Value Problems in Engineering Mechanics. Following the trend of …
solve Boundary Value Problems in Engineering Mechanics. Following the trend of …