Two-scale \(\Gamma \)-convergence of integral functionals and its application to homogenisation of nonlinear high-contrast periodic composites

DOI10.1007/s00205-011-0481-4zbMath1458.74119OpenAlexW2004449677MaRDI QIDQ2276302

Mikhail Cherdantsev, Kirill D. Cherednichenko

Publication date: 5 November 2012

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: http://orca.cf.ac.uk/33363/1/ARMA_Cherdantsev_Cherednichenko.pdf

Mathematics Subject Classification ID

Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (14)

Homogenization of Stratified Elastic Composites with High Contrast ⋮ Multicontinuum wave propagation in a laminated beam with contrasting stiffness and density of layers ⋮ Homogenization of layered materials with rigid components in single-slip finite crystal plasticity ⋮ Homogenization of Discrete High-Contrast Energies ⋮ Asymptotic Analysis of Stratified Elastic Media in the Space of Functions with Bounded Deformation ⋮ Homogenization and phase separation with space dependent wells: the subcritical case ⋮ Homogenization of high-contrast composites under differential constraints ⋮ Hypertemperature effects in heterogeneous media and thermal flux at small-length scales ⋮ Asymptotic analysis of a linear isotropic elastic composite reinforced by a thin layer of periodically distributed isotropic parallel stiff fibres ⋮ Homogenization of High-contrast Mumford--Shah Energies ⋮ Bending of thin periodic plates ⋮ Asymptotic rigidity of layered structures and its application in homogenization theory ⋮ Diffusion through a composite medium with a semi-periodic structure and high contrasting diffusivity ⋮ Homogenization of Highly Oscillating Boundaries with Strongly Contrasting Diffusivity

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