Torsion Effects in Elastic Composites with High Contrast

DOI10.1137/07069362XzbMath1207.35041OpenAlexW2030369423MaRDI QIDQ3066252

Michel Bellieud

Publication date: 10 January 2011

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/07069362x

zbMATH Keywords

linear elasticityvibrationhomogeneous Dirichlet boundary conditionsnonlocal effectstwo-scale convergence

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Vibrations in dynamical problems in solid mechanics (74H45) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10) Initial-boundary value problems for second-order hyperbolic systems (35L53)

Related Items (13)

Homogenization of Stratified Elastic Composites with High Contrast ⋮ Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy ⋮ Capacitary problems in viscoplasticity with torsion effects. ⋮ Bandgaps in two-dimensional high-contrast periodic elastic beam lattice materials ⋮ Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation ⋮ Homogenization of an anisotropic elastic material reinforced by a small volume fraction of very stiff anisotropic fibers. Non local effects. Bending effects. Torsional effects ⋮ Heat conduction in composite media involving imperfect contact and perfectly conductive inclusions ⋮ Asymptotic analysis of a linear isotropic elastic composite reinforced by a thin layer of periodically distributed isotropic parallel stiff fibres ⋮ Periodic homogenization for inner boundary conditions with equi-valued surfaces: the unfolding approach ⋮ Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients ⋮ Homogenization of a thermo-chemo-viscoelastic Kelvin-Voigt model ⋮ A notion of capacity related to elasticity: applications to homogenization ⋮ Homogenization results for a class of parabolic equations with a non-local interface condition via time-periodic unfolding

This page was built for publication: Torsion Effects in Elastic Composites with High Contrast