A version of Hill's lemma for Cosserat continuum

DOI10.1007/s10409-009-0231-0zbMath1178.74135OpenAlexW2010762212WikidataQ124877539 ScholiaQ124877539MaRDI QIDQ1049638

Qipeng Liu, Xi-Kui Li

Publication date: 13 January 2010

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

Full work available at URL: https://doi.org/10.1007/s10409-009-0231-0

zbMATH Keywords

Cosserat continuumaverage-field theoryHill-Mandel conditionHill's lemmaRVE boundary conditions

Mathematics Subject Classification ID

Polar materials (74A35) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (9)

A new version of Hill's lemma for Cosserat continuum ⋮ Hill's lemma for the average-field theory of Cosserat continuum ⋮ On Hill's lemma in continuum mechanics ⋮ Macrohomogeneity condition in dynamics of micropolar media ⋮ Extended Hill's lemma for non-Cauchy continua based on a modified couple stress theory ⋮ Micro-macro homogenization of gradient-enhanced Cosserat media ⋮ Derivation of microstructured continua from lattice systems via principle of virtual works: the case of masonry-like materials as micropolar, second gradient and classical continua ⋮ A generalized Hill's lemma and micromechanically based macroscopic constitutive model for heterogeneous granular materials ⋮ Two versions of the extended Hill’s lemma for non-Cauchy continua based on the couple stress theory

Cites Work

• Quadrilateral isoparametric finite elements for plane elastic Cosserat bodies
• Renewal of basic laws and principles for polar continuum theories (XI)-consistency problems
• Cosserat modeling of cellular solids
• 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
• Elastic properties of reinforced solids: Some theoretical principles
• Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
• An approach to micro-macro modeling of heterogeneous materials
• Effective properties of Cosserat composites with periodic microstructure

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