Loss of ellipticity through homogenization in linear elasticity
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Publication:5247099
DOI10.1142/S0218202515500220zbMath1316.35016MaRDI QIDQ5247099
Gilles A. Francfort, Marc Briane
Publication date: 22 April 2015
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Classical linear elasticity (74B05) Effective constitutive equations in solid mechanics (74Q15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) PDEs in connection with mechanics of deformable solids (35Q74)
Related Items (11)
\(\Gamma\)-convergence of quadratic functionals with non uniformly elliptic conductivity matrices ⋮ Isotropy prohibits the loss of strong ellipticity through homogenization in linear elasticity ⋮ Quantitative nonlinear homogenization: control of oscillations ⋮ Loss of strong ellipticity through homogenization in 2D linear elasticity: a phase diagram ⋮ Two-scale homogenization for a general class of high contrast PDE systems with periodic coefficients ⋮ Variational methods for the modelling of inelastic solids. Abstracts from the workshop held February 4--10, 2018 ⋮ Homogenization for locally periodic elliptic operators ⋮ A two-dimensional labile aether through homogenization ⋮ Homogenization of weakly coercive integral functionals in three-dimensional linear elasticity ⋮ Quantitative homogenization in nonlinear elasticity for small loads ⋮ Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems
Cites Work
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- Il teorema del massimo modulo per l'equazione dell'elastostatica tridimensionale
- Non-homogeneous media and vibration theory
- A recurring theorem about pairs of quadratic forms and extensions: A survey
- Laminations in linearized elasticity: The isotropic non-very strongly elliptic case
- Homogenisation of a class of fourth order equations with application to incompressible elasticity
- Laminations in planar anisotropic linear elasticity
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