Statistical volume element method for predicting microstructure-constitutive property relations

DOI10.1016/j.cma.2008.01.008zbMath1194.74291OpenAlexW2053585687MaRDI QIDQ995311

Wing Kam Liu, Xiaolei Yin, Wei Chen, Cahal McVeigh, Albert C. To

Publication date: 13 September 2010

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.2008.01.008

zbMATH Keywords

uncertainty propagationstatistical model calibrationcause-effect analysismaterial microstructure-constitutive property relationprobabilistic material constitutive modelstatistical sensitivity analysisstatistical volume finite elements

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

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Cites Work

• Unnamed Item
• Unnamed Item
• Multi-scale constitutive model and computational framework for the design of ultra-high strength, high toughness steels
• Predictive multiscale theory for design of heterogeneous materials
• Computer simulation results for the two-point probability function of composite media
• Fracture of random matrix-inclusion composites: Scale effects and statistics
• Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
• Micromechanical finite element calculations of temperature and void configuration effects on void growth and coalescence
• Atomistic simulations on the tensile debonding of an aluminum-silicon interface.
• Multiresolution analysis for material design
• A univariate approximation at most probable point for higher-order reliability analysis
• An efficient algorithm for constructing optimal design of computer experiments
• Elastic properties of reinforced solids: Some theoretical principles
• The effect of particle size, shape, distribution and their evolution on the constitutive response of nonlinearly viscous composites. II. Examples
• Importance Sampling in Monte Carlo Analyses
• Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates

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