Home Wybrane publikacje 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 PDF Drukuj Email
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.
 

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