A strong contrast homogenization formulation for multi-phase anisotropic materials

DOI10.1016/j.jmps.2008.01.003zbMath1171.74405OpenAlexW2071237451WikidataQ105183715 ScholiaQ105183715MaRDI QIDQ731064

Brent L. Adams, David T. Fullwood, Surya R. Kalidindi

Publication date: 1 October 2009

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2008.01.003

zbMATH Keywords

microstructurespolycrystalline materialanisotropic materialnumerical algorithmselastic material

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Crystalline structure (74E15) Effective constitutive equations in solid mechanics (74Q15) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (5)

Effective conductivity in isotropic heterogeneous media using a strong-contrast statistical continuum theory ⋮ Computing overall elastic constants of polydisperse particulate composites from microtomographic data ⋮ Sensitivities of effective properties computed using micromechanics differential schemes and high-order Taylor series: application to piezo-polymer composites ⋮ New approximate solution for \(N\)-point correlation functions for heterogeneous materials ⋮ A new approximation for the three-point probability function

Cites Work

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• Effective stiffness tensor of composite media. I: Exact series expansions
• Microstructure sensitive design of an orthotropic plate subjected to tensile load
• Microstructures by design: linear problems in elastic-plastic design
• Procedures for construction of anisotropic elastic-plastic property closures for face-centered cubic polycrystals using first-order bounding relations
• Elastic moduli of perfectly disordered composite materials
• Variational and Related Methods for the Overall Properties of Composites
• New bounds on the effective thermal conductivity of N -phase materials
• Microstructure-sensitive design of a compliant beam
• Random heterogeneous materials. Microstructure and macroscopic properties

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