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Archive of Applied Mechanics
Erschienen in: Archive of Applied Mechanics 5/2020

02.01.2020 | Original

Plane strain gradient elastic rectangle in bending

verfasst von: Antonios Charalambopoulos, Stephanos V. Tsinopoulos, Demosthenes Polyzos

Erschienen in: Archive of Applied Mechanics | Ausgabe 5/2020

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Abstract

The present paper can be considered as an extension of the work (Charalambopoulos and Polyzos in Arch Appl Mech 85:1421–1438, 2015). The simplest possible elastostatic version of Mindlin’s strain gradient elastic (SGE) theory is employed for the solution of a SGE rectangle in bending under plane strain conditions. The equilibrium equations as well as expressions for all types of stresses and boundary conditions appearing in the considered rectangle are explicitly provided. An improved version of Mindlin’s solution procedure via potentials is proposed. Besides, an elegant solution representation that contains the solution of the corresponding classical elastic problem is demonstrated. Results of six plane strain bending problems, which reveal a significant diversification from the classical elasticity theory and specific features of the underlying microstructure, are addressed and discussed.
Vorheriger Artikel Observance of Stoneley waves at the Lamb wave dispersion in stratified media
Nächster Artikel Uniform fields inside an anisotropic elastic open inhomogeneity

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Metadaten
Titel
Plane strain gradient elastic rectangle in bending
verfasst von
Antonios Charalambopoulos
Stephanos V. Tsinopoulos
Demosthenes Polyzos
Publikationsdatum
02.01.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Archive of Applied Mechanics / Ausgabe 5/2020
Print ISSN: 0939-1533
Elektronische ISSN: 1432-0681
DOI
https://doi.org/10.1007/s00419-019-01649-3

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