Homogenization of stratified elastic media with high contrast

2015/10/08 by Bellieud, Michel
#35B27 #35B40 #35R60 #74B05 #74Q10 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1510.02243

Abstract

We determine the asymptotic behavior of the solutions to the linear elastodynamic equations in a stratified medium comprising an alternation of possibly very stiff layers with much softer ones, when the thickness of the layers tends to zero. The limit equations may depend on higher order terms, characterizing bending effects. A part of this work is set in the context of non-periodic homogenization and an extension to stochastic homogenization is presented.

Related

• Stochastic homogenization of the bending plate model
• Asymptotic Rigidity of Layered Structures and Its Application in Homogenization Theory
• Homogenization of bending theory for plates; the case of elastic laminates
• Threshold phenomenon for homogenized fronts in random elastic media
• Asymptotic analysis of stratified elastic media in the space of\n functions with bounded deformation