Green's operator for a periodic medium with traction-free boundary conditions and computation of the effective properties of thin plates
type: Item
instance of: scholarly article
title: Green's operator for a periodic medium with traction-free boundary conditions and computation of the effective properties of thin plates
zbMATH Open document ID: 1168.74424
author: K. Sab
author: G. Bonnet
author: Trung-Kien Nguyen
published in: International Journal of Solids and Structures
publication date: 2009-08-26T00:00:00Z
Mathematics Subject Classification ID: 74Q15
Mathematics Subject Classification ID: 74Q05
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 5598465
zbMATH Keywords: \(\Gamma \)-operator
zbMATH Keywords: Green's function
zbMATH Keywords: periodic thin plate homogenization
zbMATH Keywords: fast Fourier transform
MaRDI profile type: Publication
full work available at URL: j.ijsolstr.2008.08.015
OpenAlex ID: W2046171065
cites work: Q3719913
cites work: Q4692971
cites work: Q4189539
cites work: Effective properties of elastic periodic composite media with fibers
cites work: Homogenization in material mechanics. I: Random elastic materials and periodic environments
cites work: Homogénéisation et plasticité de plaques minces
cites work: Thin elastic and periodic plates
cites work: A multi-parameter homogenization study for modeling elastic masonry
cites work: Out of plane model for heterogeneous periodic materials: the case of masonry.
cites work: A comparison between a 3D discrete model and two homogenised plate models for periodic elastic brickwork
cites work: Effective elastic properties of periodic composite medium.
cites work: Limit analysis of multi-layered plates. II: Shear effects
cites work: Limit analysis of multi-layered plates. I: The homogenized Love-Kirchhoff model
cites work: Q4144911
cites work: Q4377709
cites work: Representative volume element size for elastic composites: A numerical study
cites work: Composites with periodic microstructure
cites work: A new model for thin plates with rapidly varying thickness
cites work: Q4507538
cites work: Formulas for the stiffness of composites with periodic microstructure
cites work: Effective properties of composite materials with periodic microstructure: A computational approach
cites work: The Theory of Composites
cites work: Q4297445
cites work: A numerical method for computing the overall response of nonlinear composites with complex microstructure
cites work: Fourier transforms -- an alternative to finite elements for elastic-plastic stress-strain analyses of heterogeneous materials
cites work: Periodization of random media and representative volume element size for linear composites
cites work: Yield design of thin periodic plates by a homogenization technique and an application to masonry walls
cites work: Comportements local et macroscopique d'un type de milieux physiques heterogenes
cites work: Q3489561
cites work: Bounds and self-consistent estimates for the overall properties of anisotropic composites
cites work: A polarization approach to the scattering of elastic waves. I. Scattering by a single inclusion
cites work: Variational and Related Methods for the Overall Properties of Composites
DOI: 10.1016/J.IJSOLSTR.2008.08.015
description: scientific article; zbMATH DE number 5598465