A model with two micro-scales for the effects of geometrical distribution of material inhomogeneity

DOI10.1007/BF01170304zbMath0970.74016OpenAlexW2084548085MaRDI QIDQ1300706

Mayeul Arminjon, Benaceur Guessab

Publication date: 10 May 2000

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01170304

zbMATH Keywords

material inhomogeneityperiodic homogenizationgeometrical distributionoptimal reinforcementfibre-reinforced mortaridentical cellsrandomly inhomogeneous materialtwo-step micro-macro transition

Mathematics Subject Classification ID

Inhomogeneity in solid mechanics (74E05) Composite and mixture properties (74E30) Random materials and composite materials (74A40) Homogenization in equilibrium problems of solid mechanics (74Q05)

Cites Work

• Elastoplasticity of micro-inhomogeneous metals at large strains
• Extremal paths of plastic work and deformation
• Solutions for effective shear properties in three phase sphere and cylinder models
• Non-homogeneous media and vibration theory
• Limit distributions of the states and homogenization in random media
• Variational micro-macro transition, with application to reinforced mortars
• On macroscopic effects of heterogeneity in elastoplastic media at finite strain
• Information Theory and Statistical Mechanics
• Finite elastic-plastic deformation of polycrystalline metals
• Maximum entropy principle and texture formation
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