Machine‐learning‐based asymptotic homogenisation and localisation considering boundary layer effects

DOI10.1002/nme.7367OpenAlexW4387429716MaRDI QIDQ6148507

Zhengcheng Zhou, Chuang Ma, Shaoshuai Li, Yichao Zhu, Unnamed Author

Publication date: 7 February 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.7367

zbMATH Keywords

surface energymulti-scale modellingtrained neural networkboundary layer celllocalisation scheme

Mathematics Subject Classification ID

Artificial neural networks and deep learning (68T07) Learning and adaptive systems in artificial intelligence (68T05) Homogenization in equilibrium problems of solid mechanics (74Q05) Numerical and other methods in solid mechanics (74S99)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multiple scale eigendeformation-based reduced order homogenization
• Multi-scale computational homogenization: trends and challenges
• Non-homogeneous media and vibration theory
• A continuum theory of elastic material surfaces
• Surface stress in solids
• Implementation of the transformation field analysis for inelastic composite materials
• Computational plasticity for composite structures based on mathematical homogenization: Theory and practice
• Nonuniform transformation field analysis
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• Prediction of the mechanical behavior of nonlinear heterogeneous systems by multi-level finite element modeling
• Compliance minimisation of smoothly varying multiscale structures using asymptotic analysis and machine learning
• An assessment of multiscale asymptotic expansion method for linear static problems of periodic composite structures
• Computational analysis of nonlinear composite structures using the nonuniform transformation field analysis
• A novel asymptotic-analysis-based homogenisation approach towards fast design of infill graded microstructures
• Optimisation of spatially varying orthotropic porous structures based on conformal mapping
• FE modelling of a boundary layer corrector for composites using the homogenization theory
• Multi-scale non-linear FE² analysis of composite structures: damage and fiber size effects
• Homogenization and damage for composite structures
• Transformation field analysis of inelastic composite materials
• Computational damage mechanics for composite materials based on mathematical homogenization
• A class of general algorithms for multi-scale analyses of heterogeneous media

This page was built for publication: Machine‐learning‐based asymptotic homogenisation and localisation considering boundary layer effects