On Cherkaev–Lurie–Milton theorem in the plane problems of linear elasticity

• Autorzy: Lewiński T.

Identyfikatory

DOI

10.24423/aom.4083

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Cherkaev–Lurie–Milton theorem; CLM theorem; effective stiffnesses of thin plates; theory of composites

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Archives of Mechanics
• Rocznik: 2022
• Tom: Vol. 74, nr 4
• Strony: 319--339
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Lewiński T.

• Warsaw University of Technology, Faculty of Civil Engineering, Armii Ludowej 16, 00-637 Warsaw, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).