"uuid","repository link","title","author","contributor","publication year","abstract","subject topic","language","publication type","publisher","isbn","issn","patent","patent status","bibliographic note","access restriction","embargo date","faculty","department","research group","programme","project","coordinates"
"uuid:38dad7e4-7b1b-48e5-aff4-e43d18230337","http://resolver.tudelft.nl/uuid:38dad7e4-7b1b-48e5-aff4-e43d18230337","Korn Inequalities for a Reinforced Plate","Nazarov, S.A.; Slutskij, A.S.; Sweers, G.H.","","2012","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.","Korn inequality; homogenisation; reinforced plate","en","journal article","Springer-Verlag","","","","","","","","Electrical Engineering, Mathematics and Computer Science","Delft Institute of Applied Mathematics","","","",""
"uuid:ee26a48b-9375-43d2-ac6a-7eab0258d529","http://resolver.tudelft.nl/uuid:ee26a48b-9375-43d2-ac6a-7eab0258d529","Spectra of Two-Dimensional Models for Thin Plates with Sharp Edges","Campbell, A.; Nazarov, S.A.; Sweers, G.H.","","2010","We investigate the spectrum of the two-dimensional model for a thin plate with a sharp edge. The model yields an elliptic $3\times3$ Agmonâ€“Douglisâ€“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 appears a nontrivial essential spectrum. A first result for the degenerating scalar fourth order plate equation is due to Mikhlin. We also study the positive definiteness of the quadratic energy form and the necessity to impose stable boundary conditions. These results differ from the ones that Mikhlin published.","thin plate; sharp edge; varying thickness; essential spectrum; stable boundary conditions","en","journal article","Society for Industrial and Applied Mathematics","","","","","","","","Electrical Engineering, Mathematics and Computer Science","Delft Institute of Applied Mathematics","","","",""
"uuid:2467faae-1a84-40f6-ac78-278941b8e965","http://resolver.tudelft.nl/uuid:2467faae-1a84-40f6-ac78-278941b8e965","Korn inequalities for a reinforced plate","Nazarov, S.A.; Slutskij, A.S.; Sweers, G.H.","","2010","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.","korn inequality; homogenisation; reinforced plate","en","journal article","Springer","","","","","","","","Electrical Engineering, Mathematics and Computer Science","Delft Institute of Applied Mathematics","","","",""