Abstract
Asymptotically optimal Korn inequalities are derived for a composite material that consists of two families of stiff rods surrounded by a homogeneous soft material. The composite plate is fixed through the protruding stiff rods only. The asymptotic behaviour is shown to be crucially different for families of connected rods and for those where the rods are isolated.
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The authors gratefully acknowledge support by N.W.O., the Netherlands Organisation for Scientific Research.
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Nazarov, S.A., Slutskij, A.S. & Sweers, G.H. Korn Inequalities for a Reinforced Plate. J Elast 106, 43–69 (2012). https://doi.org/10.1007/s10659-010-9289-y
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DOI: https://doi.org/10.1007/s10659-010-9289-y