Illustrations of Zanaboni’s formulation of Saint-Venant’s principle

descriptionPublicationkeyboard_double_arrow_right Article 20 Sep 2011Publisher:European Mathematical Society - EMS - Publishing House GmbHJournal:Rendiconti Lincei, Matematica e Applicazioni, volume 22, pages 347-364 (issn: 1120-6330, eissn: 1720-0768,

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Authors: Knops, Robin J.; Villaggio, Piero;

doi: 10.4171/rlm/604

Illustrations of Zanaboni’s formulation of Saint-Venant’s principle

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Abstract

Zanaboni in 1937 published three notes in the Rendiconti in which he proposed a modified version and new proof of Saint-Venant’s principle applicable to bodies not necessarily cylindrical in shape. Examples are presented to illustrate that Zanaboni’s version is not universally applicable.

Related Organizations

University of Pisa
Italy
Heriot-Watt University
United Kingdom

Keywords

Saint-Venant's principle, Conformal mappings of special domains, PDEs in connection with mechanics of deformable solids, A priori estimates in context of PDEs

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