Numerical strategy for unbiased homogenization of random materials

DOI10.1002/nme.4502zbMath1352.74260OpenAlexW1537785329MaRDI QIDQ2952302

Régis Cottereau

Publication date: 30 December 2016

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

Full work available at URL: https://hal-ecp.archives-ouvertes.fr/hal-00837633/file/Cottereau2012.pdf

zbMATH Keywords

homogenizationrepresentative volume elementrandom materialself-consistent modelArlequin methodnumerical mesoscope

Mathematics Subject Classification ID

Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Finite volume methods applied to problems in solid mechanics (74S10) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)

Related Items (11)

Mathematical analysis of a coupling method for the practical computation of homogenized coefficients ⋮ Fast \(r\)-adaptivity for multiple queries of heterogeneous stochastic material fields ⋮ Error estimation and model adaptation for a stochastic-deterministic coupling method based on the Arlequin framework ⋮ Mathematical Approaches for Contemporary Materials Science: Addressing Defects in the Microstructure ⋮ An Embedded Corrector Problem for Homogenization. Part I: Theory ⋮ Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media ⋮ An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation ⋮ Fully scalable implementation of a volume coupling scheme for the modeling of multiscale materials ⋮ Traction boundary conditions for molecular static simulations ⋮ Some Remarks on a Coupling Method for the Practical Computation of Homogenized Coefficients ⋮ Stochastic multiscale homogenization analysis of heterogeneous materials under finite deformations with full uncertainty in the microstructure

Uses Software

• fminsearch

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