The statistical second-order two-scale method for mechanical properties of statistically inhomogeneous materials

DOI10.1002/nme.2928zbMath1202.74042OpenAlexW1969844061MaRDI QIDQ3062607

Fei Han, Yan Yu, Jun-Zhi Cui

Publication date: 28 December 2010

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.2928

zbMATH Keywords

homogenizationmechanical propertiesmulti-scalestatistically inhomogeneous materials

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Random structure in solid mechanics (74E35) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (6)

Dynamic thermo-mechanical coupled simulation of statistically inhomogeneous materials by statistical second-order two-scale method ⋮ Stochastic higher-order three-scale strength prediction model for composite structures with micromechanical analysis ⋮ Ensemble wavelet-learning approach for predicting the effective mechanical properties of concrete composite materials ⋮ A Multiscale Algorithm for Heat Conduction-Radiation Problems in Porous Materials with Quasi-Periodic Structures ⋮ Randomly-fluctuating heterogeneous continuum model of a ballasted railway track ⋮ Prediction of mechanical properties in statistically inhomogeneous core-shell materials by second-order two-scale method

Cites Work

• Stochastic simulation of non-Gaussian/non-stationary properties in a functionally graded plate
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• A mathematical homogenization perspective of virial stress
• Mathematical homogenization of nonperiodic heterogeneous media subjected to large deformation transient loading
• A computational approach for multi-scale analysis of heterogeneous elasto-plastic media subjected to short duration loads
• Computational damage mechanics for composite materials based on mathematical homogenization
• Thermo‐mechanical analysis of periodic multiphase materials by a multiscale asymptotic homogenization approach

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