A micromechanical approach for the micropolar modeling of heterogeneous periodic media
Computational homogenization is adopted to assess the homogenized two-dimensional response of periodic composite materials where the typical microstructural dimension is not negligible with respect to the structural sizes. A micropolar homogenization is, therefore, considered coupling a Cosserat m...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Gruppo Italiano Frattura
2014-07-01
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| Series: | Fracture and Structural Integrity |
| Subjects: | |
| Online Access: | http://www.gruppofrattura.it/pdf/rivista/numero29/numero_29_art_5.pdf |
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| Summary: | Computational homogenization is adopted to assess the homogenized two-dimensional response of
periodic composite materials where the typical microstructural dimension is not negligible with respect to the
structural sizes. A micropolar homogenization is, therefore, considered coupling a Cosserat medium at the
macro-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 the
macro-level strain components. Hence, the perturbation displacement field arising in the heterogeneous
medium is characterized. Thus, a newly defined micromechanical approach, based on the decomposition of the
perturbation 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 based
on the Hill-Mandel macro-homogeneity condition is exploited.
Numerical examples for a specific composite with cubic symmetry are shown. The influence of the selection of
the UC is analyzed and some critical issues are outlined. |
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| ISSN: | 1971-8993 1971-8993 |