Homogenization of the boundary-value problem for the biharmonic equation in a domain containing thin canals of small length

The present paper is devoted to homogenization of the boundary-value problem for the biharmonic equation in a planar domain containing thin canals of width $a_\varepsilon$ and of small length $\varepsilon^q$ $(q>0)$ situated $\varepsilon$-periodically along one of the coordinate axes.