Micro-macro homogenization of gradient-enhanced Cosserat media
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Publication:388270
DOI10.1016/j.euromechsol.2010.10.008zbMath1278.74141OpenAlexW2166204438MaRDI QIDQ388270
Xue Zhang, Junbo Zhang, Xi-Kui Li
Publication date: 19 December 2013
Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.euromechsol.2010.10.008
average-field theoryHill-Mandel conditionHill's lemmaRVE boundary conditionsgradient-enhanced Cosserat continuum
Polar materials (74A35) Micromechanical theories (74A60) Homogenization in equilibrium problems of solid mechanics (74Q05)
Related Items (14)
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Cites Work
- Unnamed Item
- A version of Hill's lemma for Cosserat continuum
- Homogenization of heterogeneous polymers
- Strain gradients and continuum modeling of size effect in metal matrix composites
- Simulation of the multi-scale convergence in computational homogenization approaches
- Effective properties of composite materials with periodic microstructure: A computational approach
- Cosserat overall modeling of heterogeneous materials
- On virtual work and stress in granular media
- Multi-scale second-order computational homogenization of multi-phase materials: a nested finite element solution strategy
- Elastic properties of reinforced solids: Some theoretical principles
- Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
- A micromechanically based couple-stress model of an elastic two-phase composite
- An approach to micro-macro modeling of heterogeneous materials
- Asymptotic analysis of heterogeneous Cosserat media
- Effective properties of Cosserat composites with periodic microstructure
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