Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions

DOI10.1007/s00419-010-0462-3zbMath1271.74056OpenAlexW1987056351MaRDI QIDQ363633

Daniel Balzani, Jörg Schröder, Dominik Brands

Publication date: 3 September 2013

Published in: Archive of Applied Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00419-010-0462-3

zbMATH Keywords

random microstructurenumerical homogenizationfinite plasticitylineal-path functionspectral-densitystatistically similar RVE

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Random structure in solid mechanics (74E35) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (16)

Efficient computational homogenization of simple elastoplastic microstructures using a shear band approach ⋮ Construction of Statistically Similar RVEs ⋮ On statistical strain and stress energy bounds from homogenization and virtual testing ⋮ Statistically compatible hyper-reduction for computational homogenization ⋮ From image data towards microstructure information – Accuracy analysis at the digital core of materials ⋮ Systematic study of homogenization and the utility of circular simplified representative volume element ⋮ Variance reduction for effective energies of random lattices in the Thomas–Fermi–von Weizsäcker model ⋮ Classical and quantum mechanical models of many-particle systems. Abstracts from the workshop held December 3--9, 2017 ⋮ Construction of two- and three-dimensional statistically similar RVEs for coupled micro-macro simulations ⋮ A finite deformation electro-mechanically coupled computational multiscale formulation for electrical conductors ⋮ Efficient two-scale FE-FFT-based mechanical process simulation of elasto-viscoplastic polycrystals at finite strains ⋮ Prediction of effective properties for random heterogeneous materials with extrapolation ⋮ The heterogeneous multiscale finite element method for the homogenization of linear elastic solids and a comparison with the FE\(^2\) method ⋮ Model order reduction of nonlinear homogenization problems using a Hashin-Shtrikman type finite element method ⋮ The choice of representative volumes in the approximation of effective properties of random materials ⋮ Construction of macroscale yield surfaces for ductile composites based on a virtual testing strategy

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