The role of numerical integration in numerical homogenization* [PDF]
ESAIM: Proceedings and Surveys, 2015 Finite elements methods (FEMs) with numerical integration play a central role in numerical homogenization methods for partial differential equations with multiple scales, as the effective data in a homogenization problem can only be ...
Abdulle Assyr
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Wavelet-based numerical homogenization
, 1998 A numerical homogenization procedure for elliptic differential equations is presented. It is based on wavelet decompositions of discrete operators in find and coarse scale components followed by the elemination of the fine scale contributions.
Engquist, Björn,, Dorobantu, M
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Homogenization in integral viscoelasticity [PDF]
, 2001 A multi-phase periodic composite subjected to inhomogeneous shrinkage and mechanical loads including prescribed interface jumps of displacements and tractions is considered.
Mikhailov, SE, Orlik, J
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Characterization of Pultruded Glass-Fiber Reinforced Polymers with Two-Step Homogenization
Materials Research, 2022 The aim of this work is to determine effective elastic properties of pultruded Glass Fiber Reinforced Polymer using micro-CT in conjunction with a two-step numerical homogenization technique.
Rafael da S. Vianna +3 more
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Subsampling and homogenization to investigate variability of composite material mechanical properties [PDF]
, 2012 This paper presents an innovative homogenization sampling technique applied to multiscale modelling of composite materials. The goal is to build efficiently statistical variability of mechanical properties at mesoscopic scale from the heterogeneous media
DAU, Frédéric, PINEAU, Pierre
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Metric Based Upscaling for Partial Differential Equations with a Continuum of Scales [PDF]
, 2007 Numerical upscaling of problems with multiple scale structures have attracted increasing attention in recent years. In particular, problems with non-separable scales pose a great challenge to mathematical analysis and simulation.
Zhang, Lei
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Parallel evolutionary optimization in multiscale problems [PDF]
Computer Methods in Materials Science, 2009 The paper is devoted to optimization in multiscale problems. The composite modelled as a macrostructure with a local periodic microstructure is considered. The multiscale analysis is performed with the use of the homogenization method.
Wacław Kuś, Tadeusz Burczyński
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Homogenization in strength and durability analysis of reinforced tooth filling [PDF]
, 2002 An asymptotic homogenization procedure is employed to obtain effective elastic properties of the composite tooth filling, a homogenized macro– stress field and a first approximation to the micro-stress field, from properties of the components and applied
Mikhailov, SE, Orlik, J
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Application of hp-adaptive FEM, local numerical homogenization and discrete element method to modeling of asphalt pavement structures [PDF]
Computer Methods in Materials Science, 2013 This paper presents a novel approach to modeling of asphalt pavement structures. Analysed medium exhibits a complex behaviour due to its specific structure.
Marek Klimczak +2 more
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Homogenization Topology Optimization Method Based on Continuous Field
Advances in Mechanical Engineering, 2010 In order to overcome numerical instabilities such as checkerboards, meshdependence in topology optimization of continuum structures, a new implementation combined with homogenization method without introducing any additional constraint parameter is ...
Hongwei Zhao, Kai Long, Z.-D. Ma
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