Small-amplitude homogenization of elastic plate equation
Applicable Analysis: An International Journal
, Volume 100 (5): 12 – Apr 4, 2021
Abstract
In this paper we explicitly calculate the first correction in the small-amplitude homogenization limit of a sequence of periodic tensors describing material properties in the Kirchhoff model for pure bending of a thin solid symmetric plate under a transverse load. We also discuss smooth dependence of H-limit on a parameter and calculate H-limit of a periodic sequence of tensors.
