17 citations · 20 across the 4 of their papers we have counts for
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math.AP2012
A local-effective relation in planar linear elasticity
Dag Lukkassen, Annette Meidell, Klas Pettersson
We give an example of a relation between local and effective properties for elastic structures, up to geometric constants. The model considered is a periodic structure with isotrop…
math.AP2012★ 3 cited
An elementary proof of the Vigdergauz equations for a class of square symmetric structures
Dag Lukkassen, Annette Meidell, Klas Pettersson
For a periodically perforated structure, for which homogenization takes place in the linear theory of elasticity, the components of the effective elasticity tensor depend in genera…
math.AP2002★ 17 cited
On weak convergence of locally periodic functions
Dag Lukkassen, Peter Wall
We prove a generalization of the fact that periodic functions converge weakly to the mean value as the oscillation increases. Some convergence questions connected to locally period…