Homogenization of dynamic laminates

DOI10.1016/J.JMAA.2008.12.058zbMath1173.35017OpenAlexW1986545527MaRDI QIDQ1018310

Hansun T. To

Publication date: 19 May 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.12.058

zbMATH Keywords

periodic coefficientsMaxwell's systemdiv-curl lemmacell problemlaminate formulaeMilton's formula

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Composite media; random media in optics and electromagnetic theory (78A48) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Related Items (6)

Space-time arithmetic quasi-periodic homogenization for damped wave equations ⋮ Field patterns without blow up ⋮ Field patterns: a new mathematical object ⋮ Homogenization and corrector for the wave equation with discontinuous coefficients in time ⋮ On homogenization of activated laminates in 1D-space and time ⋮ Mathematical analysis of the waves propagation through a rectangular material structure in space-time

Cites Work

• Effective properties of smart elastic laminates and the screening phenomenon
• Low frequency longitudinal vibrations of an elastic bar made of a dynamic material and excited at one end
• Wave propagation and energy exchange in a spatio-temporal material composite with rectangular microstructure
• Bounds for the electromagnetic material properties of a spatio-temporal dielectric polycrystal with respect to one–dimensional wave propagation
• The problem of effective parameters of a mixture of two isotropic dielectrics distributed in space-time and the conservation law for wave impedance in one-dimensional wave propagation
• On characterizing the set of possible effective tensors of composites: The variational method and the translation method
• Long-wave elastic anisotropy produced by horizontal layering
• An introduction to the mathematical theory of dynamic materials
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