Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface

DOI10.1016/j.cma.2023.116480OpenAlexW4387721296MaRDI QIDQ6118535

Xiuchen Gong, Yinghao Nie, Geng-Dong Cheng, Zheng Li

Publication date: 21 March 2024

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2023.116480

zbMATH Keywords

numerical Green's functionself-equilibrium stressnonlinear effective propertiescluster interaction matrixFEM-cluster based analysis (FCA)

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Statistical mechanics, structure of matter (82-XX)

Cites Work

• Unnamed Item
• Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites
• The effective mechanical properties of nonlinear isotropic composites
• Multiscale methods for composites: A review
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Solutions for effective shear properties in three phase sphere and cylinder models
• New variational principles in plasticity and their application to composite materials
• Overall potentials and extremal surfaces of power law or ideally plastic composites
• Continuum micromechanics
• Nonuniform transformation field analysis
• From virtual clustering analysis to self-consistent clustering analysis: a mathematical study
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• Effective properties of composite materials with periodic microstructure: A computational approach
• FEM-cluster based reduction method for efficient numerical prediction of effective properties of heterogeneous material in nonlinear range
• Adaptive selection of reference stiffness in virtual clustering analysis
• A stress-driven computational homogenization method based on complementary potential energy variational principle for elastic composites
• Mathematical foundations of FEM-cluster based reduced order analysis method and a spectral analysis algorithm for improving the accuracy
• Self-consistent clustering analysis for multiscale modeling at finite strains
• Efficient prediction of the effective nonlinear properties of porous material by FEM-cluster based analysis (FCA)
• Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials
• Model order reduction of nonlinear homogenization problems using a Hashin-Shtrikman type finite element method
• Microstructural material database for self-consistent clustering analysis of elastoplastic strain softening materials
• Clustering discretization methods for generation of material performance databases in machine learning and design optimization
• Principle of cluster minimum complementary energy of FEM-cluster-based reduced order method: fast updating the interaction matrix and predicting effective nonlinear properties of heterogeneous material
• Fast calculation of interaction tensors in clustering-based homogenization
• Continuum micro-mechanics of elastoplastic polycrystals
• Computational homogenization of heterogeneous materials with finite elements
• Computational analysis of nonlinear composite structures using the nonuniform transformation field analysis
• A variational approach to the theory of the elastic behaviour of polycrystals
• Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials
• Three-dimensional finite element implementation of the nonuniform transformation field analysis
• The determination of the elastic field of an ellipsoidal inclusion, and related problems
• The elastic field outside an ellipsoidal inclusion
• An accelerated FFT algorithm for thermoelastic and non-linear composites
• Variational Principles for Inhomogeneous Non-linear Media
• New bounds on effective elastic moduli of two-component materials
• On transformation strains and uniform fields in multiphase elastic media
• Transformation field analysis of inelastic composite materials
• Bounds and self-consistent estimates for creep of polycrystalline materials
• Data-Driven Self-consistent Clustering Analysis of Heterogeneous Materials with Crystal Plasticity
• Use of classical variational principles to determine bounds for the effective bulk modulus in heterogeneous media
• Virtual clustering analysis for long fiber reinforced composites

This page was built for publication: Fast construction of cluster interaction matrix for data-driven cluster-based reduced-order model and prediction of elastoplastic stress-strain curves and yield surface