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Article Dans Une Revue Philosophical Magazine Année : 2009

Computational homogenization of material layers with micromorphic mesostructure

Résumé

In this paper, a multiscale approach to capture the behaviour of material layers that possess a micromorphic mesostructure is presented. To this end, we seek to obtain a macroscopic traction-separation law based on the underlying meso- and micro-structure. At the macro level, a cohesive interface description is used, whereas the underlying mesostructure is resolved by a micromorphic representative volume element. This generalised continuum theory is particularly well-suited to account for higher-order and size-dependent effects in the material layer. On considering the height of the material layer, quantities at different scales are related by averaging theorems and the Hill condition. An admissible scale-transition is guaranteed via the adoption of customised boundary conditions, which account for the deformation modes in the interface. On the basis of this theoretical framework, computational homogenisation is embedded within a finite element approach, and the capabilities of the model are demonstrated through benchmark numerical examples.

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Dates et versions

hal-00513981 , version 1 (01-09-2010)

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Claudia Britta Hirschberger, Natarajan Sukumar, Paul Steinmann. Computational homogenization of material layers with micromorphic mesostructure. Philosophical Magazine, 2009, 88 (30-32), pp.3603-3631. ⟨10.1080/14786430802502567⟩. ⟨hal-00513981⟩

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