A deep energy method for finite deformation hyperelasticity
From MaRDI portal
Publication:2292258
DOI10.1016/j.euromechsol.2019.103874zbMath1472.74213OpenAlexW2982123645WikidataQ126983614 ScholiaQ126983614MaRDI QIDQ2292258
Xiaoying Zhuang, Vien Minh Nguyen-Thanh, Timon Rabczuk
Publication date: 3 February 2020
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2019.103874
Learning and adaptive systems in artificial intelligence (68T05) Nonlinear elasticity (74B20) Energy minimization in equilibrium problems in solid mechanics (74G65) Numerical and other methods in solid mechanics (74S99)
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Cites Work
- Unnamed Item
- Unnamed Item
- Data-driven non-linear elasticity: constitutive manifold construction and problem discretization
- Automated solution of differential equations by the finite element method. The FEniCS book
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- The reduced model multiscale method (R3M) for the nonlinear homogenization of hyperelastic media at finite strains
- On the limited memory BFGS method for large scale optimization
- Meshless methods: a review and computer implementation aspects
- Hidden physics models: machine learning of nonlinear partial differential equations
- Multilayer feedforward networks are universal approximators
- The Deep Ritz Method: a deep learning-based numerical algorithm for solving variational problems
- Two-stage data-driven homogenization for nonlinear solids using a reduced order model
- Reduced order modeling for nonlinear structural analysis using Gaussian process regression
- DGM: a deep learning algorithm for solving partial differential equations
- Isogeometric analysis: an overview and computer implementation aspects
- Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials
- A framework for data-driven analysis of materials under uncertainty: countering the curse of dimensionality
- Data-driven computational mechanics
- An \textit{hp}-proper orthogonal decomposition-moving least squares approach for molecular dynamics simulation
- Computational homogenization of nonlinear elastic materials using neural networks
- Coarse-graining of multiscale crack propagation
- Multiscale aggregating discontinuities: A method for circumventing loss of material stability
- Element‐free Galerkin methods
- Neural Networks and Deep Learning
- Isogeometric Analysis
- Non-convex Optimization for Machine Learning
- Nonlinear Solid Mechanics for Finite Element Analysis: Statics