T. LEWIŃSKI, On Cherkaev–Lurie–Milton theorem in the plane problems of linear elasticity

T. Lewiński, On Cherkaev–Lurie–Milton theorem in the plane problems of linear elasticity, Arch. Mech. 74 (4), 319–339, 2022, DOI: 10.24423/aom.4083 Abstract The paper delivers a full justification of the Cherkaev–Lurie–Milton theorem in application to the elasticity problem of in-plane loaded plates, 2D periodic elastic composites, elasticity of thin plates subjected to transverse loads as well as in-plane periodic thin plates in bending. The theorem is treated as natural extension of Michell’s result on 2D elasticity and the Gauss–Bonnet formula applied to the deflection surface of a thin plate subject to bending.