Spacetime Interpretation of Torsion in Prismatic Bodies

Spacetime Interpretation of Torsion in Prismatic Bodies

A non-linear theory for the plastic deformation of prismatic bodies is constructed which interpolates between Prandtl’s linear soap-film approximation and Nádai’s sand-pile model. Geometrically Prandtl’s soap film and Nádai’s wavefront are unified into a single smooth surface of constant mean curvat...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Journal of elasticity 2013, Vol.110 (1), p.111-116
Hauptverfasser: Domokos, G., Gibbons, G. W.
Format: Artikel
Sprache:eng
Schlagworte:
Approximation
Automotive Engineering
Classical Mechanics
Curvature
Mathematical analysis
Physics
Physics and Astronomy
Plastic deformation
Research Note
Soap films
Three dimensional
Torsion
Wave fronts
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:A non-linear theory for the plastic deformation of prismatic bodies is constructed which interpolates between Prandtl’s linear soap-film approximation and Nádai’s sand-pile model. Geometrically Prandtl’s soap film and Nádai’s wavefront are unified into a single smooth surface of constant mean curvature in three-dimensional Minkowski spacetime.
ISSN:0374-3535
1573-2681
DOI:10.1007/s10659-012-9384-3