Numerical strategy for unbiased homogenization of random materials

No abstract is available for this paper.

• Publication year

  2013

• Venue

  International Journal for Numerical Methods in Engineering

• Publication date

  2013-07-06

• Fields of study

  Mathematics, Materials Science, Physics, Engineering

• Identifiers
  DOI 10.1002/nme.4502
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

• Localized modeling of uncertainty in the Arlequin framework

  2011cited by this paper
• A stochastic-deterministic coupling method for continuum mechanics

  2011cited by this paper
• Modeling of random anisotropic elastic media and impact on wave propagation

  2010cited by this paper
• Some Numerical Approaches for Weakly Random Homogenization

  2010cited by this paper
• Variance reduction in stochastic homogenization: proof of concept, using antithetic variables

  2010cited by this paper
• An adaptive strategy for the control of modeling error in two-dimensional atomic-to-continuum coupling simulations

  2009cited by this paper
• The General Theory of Homogenization: A Personalized Introduction

  2009cited by this paper
• Further Insights by Theoretical Investigations of the Multiscale Arlequin Method

  2008cited by this paper
• Stochastic homogenization and random lattices

  2007cited by this paper
• Periodization of random media and representative volume element size for linear composites

  2005cited by this paper
• The Arlequin method as a flexible engineering design tool

  2005cited by this paper
• Homogenization of fully nonlinear, uniformly elliptic and parabolic partial differential equations in stationary ergodic media

  2005cited by this paper
• A “Numerical Mesoscope” for the Investigation of Local Fields in Rate-Dependent Elastoplastic Materials at Finite Strain

  2003cited by this paper
• Determination of the size of the representative volume element for random composites: statistical and numerical approach

  2003cited by this paper
• The Theory of Composites

  2002cited by this paper
• Approximations of effective coefficients in stochastic homogenization

  2002cited by this paper
• Linear elastic properties of 2D and 3D models of porous materials made from elongated objects

  2001cited by this paper
• Numerical evaluation of effective elastic properties of graphite fiber tow impregnated by polymer matrix

  2001cited by this paper
• Analyse mathématique de la méthode Arlequin mixte

  2001cited by this paper
• Homogenization of divergence-form operators with lower-order terms in random media

  2001cited by this paper
• Elastic Properties of Model Porous Ceramics

  2000cited by this paper
• Multiscale mechanical problems: the Arlequin method

  1998cited by this paper
• Convergence Properties of the Nelder-Mead Simplex Method in Low Dimensions

  1998cited by this paper
• Electrical and thermal transport properties of YBaCuO/Ag random composites

  1998cited by this paper
• Du polycristal au multicristal : vers un mésoscope numérique

  1998cited by this paper
• Representative volume element size for elastic composites: A numerical study

  1997cited by this paper
• Transport equations for elastic and other waves in random media

  1996cited by this paper
• Effective equations of two-phase flow in random media

  1995cited by this paper
• Incorporation of microstructural information into models of two-phase materials

  1995cited by this paper
• Stochastic two-scale convergence in the mean and applications.

  1994cited by this paper
• On the homogenization and the simulation of random materials

  1992cited by this paper
• Simulation of Stochastic Processes by Spectral Representation

  1991cited by this paper
• Application of variational concepts to size effects in elastic heterogeneous bodies

  1990cited by this paper
• Nonlinear Stochastic Homogenization

  1986cited by this paper
• Averaging an elliptic boundary-value problem with random coefficients

  1980cited by this paper
• AVERAGING OF RANDOM OPERATORS

  1980cited by this paper
• AVERAGING AND G-CONVERGENCE OF DIFFERENTIAL OPERATORS

  1979cited by this paper
• Averaging elliptic equations with random coefficients

  1979cited by this paper

• A scalable implementation of a volume coupling scheme for the modeling of polycrystalline materials

  2023cites this paper
• Machine learning for accelerating macroscopic parameters prediction for poroelasticity problem in stochastic media

  2021cites this paper
• Mathematical analysis of a coupling method for the practical computation of homogenized coefficients

  2021influential citation
• Some Remarks on a Coupling Method for the Practical Computation of Homogenized Coefficients

  2020influential citation
• Scalable parallel scheme for sampling of Gaussian random fields over very large domains

  2018cites this paper
• Machine learning for accelerating effective property prediction for poroelasticity problem in stochastic media

  2018cites this paper
• An Embedded Corrector Problem for Homogenization. Part I: Theory

  2018cites this paper
• Numerical homogenization for wave propagation in fractured media

  2018cites this paper
• Multiscale finite element analysis of uncertain-but-bounded heterogeneous materials at finite deformation

  2018cites this paper
• Méthode de raffinement local adaptatif multi-niveaux pour la fissuration des matériaux hétérogènes

  2017cites this paper
• A scalable implementation of a volume coupling scheme for the modeling of polycrystalline materials

  2017cites this paper
• Fully scalable implementation of a volume coupling scheme for the modeling of multiscale materials

  2017cites this paper
• Scale coupling and upscaling techniques in elastostatics and elastodynamics in random media. (Couplages et transitions entre échelles en élastostatique et élastodynamique en milieu aléatoire)

  2016influential citation
• A Stochastic Multi-scale Approach for Numerical Modeling of Complex Materials—Application to Uniaxial Cyclic Response of Concrete

  2016cites this paper
• Stochastic multiscale homogenization analysis of heterogeneous materials under finite deformations with full uncertainty in the microstructure

  2015cites this paper
• Fast r-adaptivity for multiple queries of heterogeneous stochastic material fields

  2015cites this paper
• Stochastic multiscale homogenization analysis of heterogeneous materials under finite deformations with full uncertainty in the microstructure

  2015cites this paper
• Review of the synergies between computational modeling and experimental characterization of materials across length scales

  2015cites this paper
• The mechanical and magnetic behaviour of sintered fibre networks and their suitability for a therapeutic, biomedical application

  2015cites this paper
• Traction boundary conditions for molecular static simulations

  2015cites this paper
• An embedded corrector problem to approximate the homogenized coefficients of an elliptic equation

  2014cites this paper
• Limit state of structures made of heterogeneous materials

  2014cites this paper
• A Coupling Method for the Homogenization of Stochastic Structural Models

  2014cites this paper
• NUMERICAL HOMOGENIZATION OF RANDOM MICROSTRUCTURES FOR STRUCTURAL MECHANICS

  2013cites this paper
• Error estimation and model adaptation for a stochastic‐deterministic coupling method based on the Arlequin framework

  2013cites this paper
• A coupling method for stochastic continuum models at different scales

  2013cites this paper