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document
Nazarov, S.A. (author), Slutskij, A.S. (author), Sweers, G.H. (author)
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...
journal article 2012
document
Campbell, A. (author), Nazarov, S.A. (author), Sweers, G.H. (author)
We investigate the spectrum of the two-dimensional model for a thin plate with a sharp edge. The model yields an elliptic $3\times3$ Agmon–Douglis–Nirenberg system on a planar domain with coefficients degenerating at the boundary. We prove that in the case of a degeneration rate $\alpha<2$, the spectrum is discrete, but, for $\alpha\geq2$, there...
journal article 2010
document
Nazarov, S.A. (author), Slutskij, A.S. (author), Sweers, G.H. (author)
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...
journal article 2010