Effective length scale parameters of the fiber-reinforced composites

DOI10.1134/S1995080222100365zbMath1502.74088OpenAlexW4312932410MaRDI QIDQ2095895

Yu. O. Solyaev

Publication date: 15 November 2022

Published in: Lobachevskii Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1995080222100365

zbMATH Keywords

homogenizationcylindrical inclusionstrain gradient elasticityeffective gradient modulusweakly anisotropic equivalent second-gradient medium

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Elastic materials (74B99)

Cites Work

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• On Eshelby's tensor in transversely isotropic materials
• Micro-structure in linear elasticity
• Generalized continua and non-homogeneous boundary conditions in homogenisation methods
• Generalized Hooke's law for isotropic second gradient materials
• On variational principles in coupled strain-gradient elasticity
• Mathematical modeling of the elastic properties of cubic crystals at small scales based on the toupin-Mindlin anisotropic first strain gradient elasticity

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