Thermodynamically consistent machine-learned internal state variable approach for data-driven modeling of path-dependent materials
DOI10.1016/j.cma.2022.115348OpenAlexW4225405004WikidataQ120500222 ScholiaQ120500222MaRDI QIDQ2679297
Publication date: 19 January 2023
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2205.00578
thermodynamicsrecurrent neural networksinternal state variablespath-dependent materialsphysics-informeddata-driven constitutive modeling
Learning and adaptive systems in artificial intelligence (68T05) Theory of constitutive functions in solid mechanics (74A20) Mathematical modeling or simulation for problems pertaining to mechanics of deformable solids (74-10)
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- Discovering governing equations from data by sparse identification of nonlinear dynamical systems
- Artificial neural networks in numerical modelling of composites
- Historical review of internal state variable theory for inelasticity
- A decomposed subspace reduction for fracture mechanics based on the meshfree integrated singular basis function method
- Machine learning strategies for systems with invariance properties
- Finite element analysis of V-ribbed belts using neural network based hyperelastic material model
- Algorithms for static and dynamic multiplicative plasticity that preserve the classical return mapping schemes of the infinitesimal theory
- Associative coupled thermoplasticity at finite strains: Formulation, numerical analysis and implementation
- Artificial neural network as an incremental nonlinear constitutive model for a finite element code.
- Model-free data-driven inelasticity
- Smart constitutive laws: inelastic homogenization through machine learning
- A physics-informed deep learning framework for inversion and surrogate modeling in solid mechanics
- Sobolev training of thermodynamic-informed neural networks for interpretable elasto-plasticity models with level set hardening
- A kernel method for learning constitutive relation in data-driven computational elasticity
- Recurrent neural networks (RNNs) with dimensionality reduction and break down in computational mechanics; application to multi-scale localization step
- Learning constitutive relations using symmetric positive definite neural networks
- A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder
- Accelerating multiscale finite element simulations of history-dependent materials using a recurrent neural network
- A recurrent neural network-accelerated multi-scale model for elasto-plastic heterogeneous materials subjected to random cyclic and non-proportional loading paths
- Deep autoencoders for physics-constrained data-driven nonlinear materials modeling
- Recurrent neural networks (RNNs) learn the constitutive law of viscoelasticity
- A physics-constrained data-driven approach based on locally convex reconstruction for noisy database
- \(\mathrm{SO}(3)\)-invariance of informed-graph-based deep neural network for anisotropic elastoplastic materials
- A framework for data-driven analysis of materials under uncertainty: countering the curse of dimensionality
- Data driven computing with noisy material data sets
- A new reliability-based data-driven approach for noisy experimental data with physical constraints
- A multiscale multi-permeability poroplasticity model linked by recursive homogenizations and deep learning
- Physics-informed neural networks: a deep learning framework for solving forward and inverse problems involving nonlinear partial differential equations
- Numerical implementation of a neural network based material model in finite element analysis
- A Review of Recurrent Neural Networks: LSTM Cells and Network Architectures
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