The crust shell and the edge beams of third-gradient continua in current and referential description

DOI10.1007/S00707-023-03718-9OpenAlexW4387097319MaRDI QIDQ6143771

Arnold Krawietz

Publication date: 5 January 2024

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-023-03718-9

zbMATH Keywords

Lagrangian descriptionEulerian descriptionfictitious cutforce/moment equilibrium condition

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Shells (74K25) Nonsimple materials (74A30)

Cites Work

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• The complete works of Gabrio Piola: Volume I. Commented English translation of the original Italian works, published between 1825 and 1856
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• Elastic materials with couple-stresses
• A continuum theory of elastic material surfaces
• How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert
• Deformation-induced coupling of the generalized external actions in third-gradient materials
• Analytical continuum mechanics à la Hamilton–Piola least action principle for second gradient continua and capillary fluids
• Higher-gradient continua: The legacy of Piola, Mindlin, Sedov and Toupin and some future research perspectives
• Surface phenomena of gradient materials

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