Some computational aspects of iterated structures

Estimating the Vigdergauz constants for regular hexagonal honeycombs

“…For details concerning general methods for computing effective elastic moduli based on the homogenization method, see e.g. [1], [2], [3], [4], [10] and [11]. We also want to refer to [9] concerning simplification in cases of structural symmetries.…”

On the conjugate of periodic piecewise harmonic functions

“…For details concerning the method of computing effective moduli in general, including more information on numerical and engineering aspects, see e.g. [4], [8], [9], [17] and [10].…”

Bounds and Numerical Results for Homogenized Degenerated p-Poisson Equations

“…In this section we present upper and lower bounds on the homogenized energy density functional λ hom defined in (3). The bounds are given in the following two theorems: Theorem 1.…”

“…By using numerical methods it is possible to compute λ hom by formula (2), see e.g. [3]. Another approach is to find bounds on λ hom .…”