Material instabilities of an incompressible elastic cube under triaxial tension

verfasst von
S. Reese, Peter Wriggers
Abstract

Besides purely geometrical non-linearity, unstable solutions in finite elasticity may arise due to non-linear material behaviour. In this paper, a stability criterion is developed with which these so-called material instabilities can be distinguished from geometrical or structural instabilities like the buckling of shells and plates. Finally, the value of this criterion is demonstrated analytically by examining the case of a cube under triaxial tension. To obtain realistic results, the stability investigation is based on the material model of Ogden, which is characterized by excellent agreement with experimental results.

Externe Organisation(en)
Technische Universität Darmstadt
Typ
Artikel
Journal
International Journal of Solids and Structures
Band
34
Seiten
3433-3454
Anzahl der Seiten
22
ISSN
0020-7683
Publikationsdatum
09.1997
Publikationsstatus
Veröffentlicht
Peer-reviewed
Ja
ASJC Scopus Sachgebiete
Modellierung und Simulation, Allgemeine Materialwissenschaften, Physik der kondensierten Materie, Werkstoffmechanik, Maschinenbau, Angewandte Mathematik
Elektronische Version(en)
https://doi.org/10.1016/S0020-7683(96)00205-3 (Zugang: Unbekannt)
 

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