A micromechanical approach for the micropolarmodeling of heterogeneous periodic media
Journal Title: Frattura ed Integrità Strutturale - Year 2014, Vol 8, Issue 29
Abstract
Computational homogenization is adopted to assess the homogenized two-dimensional response ofperiodic composite materials where the typical microstructural dimension is not negligible with respect to thestructural sizes. A micropolar homogenization is, therefore, considered coupling a Cosserat medium at themacro-level with a Cauchy medium at the micro-level, where a repetitive Unit Cell (UC) is selected.A third order polynomial map is used to apply deformation modes on the repetitive UC consistent with themacro-level strain components. Hence, the perturbation displacement field arising in the heterogeneousmedium is characterized. Thus, a newly defined micromechanical approach, based on the decomposition of theperturbation fields in terms of functions which depend on the macroscopic strain components, is adopted.Then, to estimate the effective micropolar constitutive response, the well known identification procedure basedon the Hill-Mandel macro-homogeneity condition is exploited.Numerical examples for a specific composite with cubic symmetry are shown. The influence of the selection ofthe UC is analyzed and some critical issues are outlined.
Authors and Affiliations
M. L. De Bellis, D. Addessi
Keywords
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- EP ID EP126619
- DOI 10.3221/IGF-ESIS.29.05
- Views 42
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