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We show how to calculate semi-analytically the dense vortex state in strongtype-II superconducting nanostructures. For the specific case of a strip, wefind vortex lattice solutions which also incorporate surface superconductivity.We calculate the energy cost to displace individual vortex rows parallel to thesurfaces and find that this energy oscillates with the magnetic field.Remarkably, we also find that, at a critical field $H^*$ below $H_{c2}$, this''shear'' energy becomes strictly zero for the surface rows due to anunexpected mismatch with the bulk lattice.Comment: Title, abstract, and some text paragraphs have been rewritte

Vortex lattices in strong type-II superconducting two-dimensional strips