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Everywhere discontinuous anisotropy of thin periodic composite plates

Friday 27th March 2015 - 13:30 to 14:30
INI Seminar Room 1
Co-author: Kirill Cherednichenko (University of Bath)

We consider an elastic periodic composite plate in full bending regime, i.e. when the displacement of the plate is of finite order. Both the thickness of the plate $h$ and the period of the composite structure $\varepsilon$ are small parameters. We start from the non-linear elasticity setting. Passing to the limit as $h, \varepsilon \to 0$ we carry out simultaneous dimension reduction and homogenisation to obtain an effective limit elastic functional which describes the asymptotic properties of the composite plate. We show, in particular, that in the regime $h

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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons