Micro-macro homogenization of gradient-enhanced Cosserat media

Based on the Hill’s lemma for classical Cauchy continuum, a generalized Hill’s lemma for micro-macro homogenization modeling of heterogeneous gradient-enhanced Cosserat continuum is presented in the frame of the average-field theory. In this context not only the strain and stress tensors defined in...

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Bibliographic Details
Published in:	European journal of mechanics, A, Solids Vol. 30; no. 3; pp. 362 - 372
Main Authors:	Li, Xikui, Zhang, Junbo, Zhang, Xue
Format:	Journal Article
Language:	English
Published:	Amsterdam Elsevier Masson SAS 01-05-2011 Elsevier
Subjects:	Average-field theory Boundary conditions Continuums Exact sciences and technology Frames Fundamental areas of phenomenology (including applications) Gradient-enhanced Cosserat continuum Hill–Mandel condition Hill’s lemma Homogenization Homogenizing Microstructure Physics RVE boundary conditions Sampling Solid mechanics Static elasticity (thermoelasticity...) Strain Stress tensors Structural and continuum mechanics Hill’s lemma Hill–Mandel condition Average-field theory Gradient-enhanced Cosserat continuum RVE boundary conditions Hill's lemma Representative volume element Homogenization Stress tensor Modeling Hill-Mandel condition Global local method Continuum Microstructure Cosserat material
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