Qualitatively new models of microinhomogeneous media obtained by homogenization

DOI10.1016/j.ijengsci.2014.05.005zbMath1423.74080OpenAlexW1969845274MaRDI QIDQ1627100

M. E. Eglit

Publication date: 22 November 2018

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ijengsci.2014.05.005

zbMATH Keywords

homogenizationmicroinhomogeneous mediaqualitatively new models

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Micromechanics of solids (74M25) Composite and mixture properties (74E30) Micromechanical theories (74A60) Homogenization in equilibrium problems of solid mechanics (74Q05)

Cites Work

• Variational principles of continuum mechanics. I: Fundamentals
• Non-homogeneous media and vibration theory
• Variational properties of averaged equations for periodic media
• Large amplitude variations for the density of a viscous compressible fluid.
• Averaging of the equations of the dynamics of composites of slightly compressible elastic components
• Quasi-averaging of the system of equations of one-dimensional motion of a viscous heat-conducting gas with rapidly oscillating data
• An estimate of the error of averaging the dynamics of small perturbations of very inhomogeneous mixtures
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