Systematic study of homogenization and the utility of circular simplified representative volume element
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Publication:5132384
DOI10.1177/1081286518823834OpenAlexW2913376552WikidataQ128472128 ScholiaQ128472128MaRDI QIDQ5132384
S. Saeb, Fodil Meraghni, Paul Steinmann, Soheil Firooz, George Chatzigeorgiou, Ali Javili
Publication date: 12 November 2020
Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/11693/53401
Hashin-Shtrikman boundscompositeshomogenizationcomposite cylinder assemblagecircular representative volume elementhexagonal representative volume element
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Homogenization methods for multi-phase elastic composites with non-elliptical reinforcements: comparisons and benchmarks
- Approximation of random microstructures by periodic statistically similar representative volume elements based on lineal-path functions
- Homogenization of random heterogeneous media with inclusions of arbitrary shape modeled by XFEM
- Construction of two- and three-dimensional statistically similar RVEs for coupled micro-macro simulations
- Computational homogenization based on a weak format of micro-periodicity for RVE-problems
- Multiple scale analysis of heterogeneous elastic structures using homogenization theory and Voronoi cell finite element method
- On micro-to-macro connections in domain decomposition multiscale methods
- Elastic-plastic composites at finite strains
- The effective mechanical properties of nonlinear isotropic composites
- On methods for bounding the overall properties of nonlinear composites
- Multiscale methods for composites: A review
- On the size of RVE in finite elasticity of random composites
- Generalized grain cluster method for multiscale response of multiphase materials
- Rigorous bounds on the effective moduli of composites and inhomogeneous bodies with negative-stiffness phases
- A micro-macro homogenization approach for discrete particle assembly - Cosserat continuum modeling of granular materials
- Multi-scale computational homogenization: trends and challenges
- A numerical method for homogenization in nonlinear elasticity
- A variational approach to the theory of the elastic behaviour of multiphase materials
- Explicit evaluation of Willis' bounds with ellipsoidal inclusions
- On the overall moduli of non-linear elastic composite materials
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- Homogenization of heterogeneous polymers
- Bounds on elastic moduli of composites
- On overall properties of elastic heterogeneous bodies smaller than the representative volume
- Computational micro-to-macro transitions for discretized micro-structures of heterogeneous materials at finite strains based on the minimization of averaged incremental energy.
- A computational approach to handle complex microstructure geometries.
- A multilevel finite element method (FE\(^{2}\)) to describe the response of highly nonlinear structures using generalized continua.
- A framework for micro-macro transitions in periodic particle aggregates of granular materials.
- Simulation of the multi-scale convergence in computational homogenization approaches
- \(FE^2\) multiscale approach for modelling the elastoviscoplastic behaviour of long fibre SiC/Ti composite materials
- On the optimality of the window method in computational homogenization
- Mathematical homogenization of inelastic dissipative materials: a survey and recent progress
- On statistical strain and stress energy bounds from homogenization and virtual testing
- Novel formulations of microscopic boundary-value problems in continuous multiscale finite element methods
- Order relationships for boundary conditions effect in heterogeneous bodies smaller than the representative volume
- A numerical method for computing the overall response of nonlinear composites with complex microstructure
- Computational micro-to-macro transitions of discretized microstructures undergoing small strains
- The representative volume size in static and dynamic micro-macro transitions
- Hierarchical modeling of heterogeneous solids
- Effective properties of composite materials with periodic microstructure: A computational approach
- Scale effects on the elastic behavior of periodic and hierarchical two-dimensional composites
- Unified treatment of microscopic boundary conditions and efficient algorithms for estimating tangent operators of the homogenized behavior in the computational homogenization method
- Reduced basis hybrid computational homogenization based on a mixed incremental formulation
- Nonlinear reduced order homogenization of materials including cohesive interfaces
- On bounds for the overall elastic moduli of inhomogeneous systems. I
- On the overall elastic moduli of composite materials
- Elastic properties of reinforced solids: Some theoretical principles
- Computational homogenization of nonlinear elastic materials using neural networks
- The determination of the elastic field of an ellipsoidal inclusion, and related problems
- Analysis of Composite Materials—A Survey
- Computational homogenization for heat conduction in heterogeneous solids
- Toward realization of computational homogenization in practice
- Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
- Variationally consistent computational homogenization of transient heat flow
- On constitutive macro-variables for heterogeneous solids at finite strain
- An approach to micro-macro modeling of heterogeneous materials
- Scale and boundary conditions effects on elastic properties of random composites
- Effective properties of Cosserat composites with periodic microstructure
- Computational micro-macro material testing
- A class of general algorithms for multi-scale analyses of heterogeneous media
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