Stretching of a plane with a lattice of cuts

Abstract

An exact analytical solution of the problem in elasticity theory about stretching of a plane with an infinite lattice of rectilinear cuts has been obtained. The analysis is based on G.V. Kolosov’s formulas associating the stress components with two regular functions of a complex variable. The obtained solution revealed the original effects of stretching stress screening and localization of compressive stresses between cuts.