Nonlinear homogenization of heterogeneous periodic plates of Reissner-Mindlin type

• Autorzy: Pruchnicki Erick

Identyfikatory

DOI

10.15632/jtam-pl/115370

• Języki publikacji: EN

Abstrakty

EN

In this paper, we propose a multiscale finite-strain plate theory for a composite nonlinear plate described by a repetitive periodic heterogeneity. We consider two scales, the macroscopic scale is linked to the entire plate and the microscopic scale is linked to the size of the heterogeneity. At the macroscopic scale, we approximate the displacement field by the Reissner-Mindlin model. By considering the equivalence between variations of the macroscopic elastic energy at each point of the mid surface and the microscopic one, we deduce that the macroscopic stress resultants can be expressed in terms of the microscopic stress.

Słowa kluczowe

EN

homogenization; plate; nonlinear hypothesis

• Wydawca: Polskie Towarzystwo Mechaniki Teoretycznej i Stosowanej
• Czasopismo: Journal of Theoretical and Applied Mechanics
• Rocznik: 2020
• Tom: Vol. 58 nr 2
• Strony: 317--323
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Pruchnicki Erick

• University of Lille, Department of Mathematic, Lille, French

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).