Numerical homogenization for composite materials analysis. Comparison with other micro mechanical formulations

References

Page 1

	Year	Citations
Asymptotic Analysis of Periodic Structures Alain Bensoussan, J. L. Lions, George Papanicolaou, Journal of Applied Mechanics Asymptotic FormulaOscillation TheoryPeriodic Travelling Wave	1979	1.7K
A numerical method for computing the overall response of nonlinear composites with complex microstructure Computer Methods in Applied Mechanics and Engineering Materials ScienceEngineeringMicromechanicsMechanical EngineeringOverall Response	1998	1.3K
Effective properties of composite materials with periodic microstructure: a computational approach Jean‐Claude Michel, Hervé Moulinec, Pierre Suquet Computer Methods in Applied Mechanics and Engineering Materials SciencePeriodic MicrostructureCompositesEngineeringMicromechanics	1999	1K
Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme V.G. Kouznetsova, M.G.D. Geers, W.A.M. Brekelmans International Journal for Numerical Methods in Engineering EngineeringMultiscale MechanicsMechanical EngineeringMaterial SimulationHeterogeneous Materials	2002	790
Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy V.G. Kouznetsova, M.G.D. Geers, W.A.M. Brekelmans Computer Methods in Applied Mechanics and Engineering Numerical AnalysisFinite Element MethodMaterials ScienceMaterials EngineeringEngineering	2004	652
Simulation of the multi-scale convergence in computational homogenization approaches Kenjiro Terada, Muneo Hori, Takashi KYOYA, International Journal of Solids and Structures Numerical AnalysisMulti-scale ConvergenceEngineeringMultiscale AnalysisNumerical Simulation	2000	560
Computational micro-to-macro transitions of discretized microstructures undergoing small strains Christian Miehé, Andreas Koch Archive of Applied Mechanics Materials ScienceEngineeringMechanical EngineeringNumerical SimulationMultiscale Material	2002	522
A class of general algorithms for multi-scale analyses of heterogeneous media Kenjiro Terada, Noboru Kikuchi Computer Methods in Applied Mechanics and Engineering Numerical AnalysisImage AnalysisGeneral AlgorithmsData ScienceEngineering	2001	466
Two scale analysis of heterogeneous elastic-plastic materials with asymptotic homogenization and Voronoi cell finite element model Somnath Ghosh, Kyunghoon Lee, Suresh Moorthy Computer Methods in Applied Mechanics and Engineering Materials ScienceEngineeringMicromechanicsElasticity (Physics)Mechanical Engineering	1996	292
Homogenization of inelastic solid materials at finite strains based on incremental minimization principles. Application to the texture analysis of polycrystals Christian Miehé, J. Schotte, Matthias Lambrecht Journal of the Mechanics and Physics of Solids Materials ScienceEngineeringElasticity (Physics)Mechanical EngineeringIncremental Minimization Principles	2002	258

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