Material instabilities of an incompressible elastic cube under triaxial tension

authored by
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.

External Organisation(s)
Technische Universität Darmstadt
Type
Article
Journal
International Journal of Solids and Structures
Volume
34
Pages
3433-3454
No. of pages
22
ISSN
0020-7683
Publication date
09.1997
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Modelling and Simulation, Materials Science(all), Condensed Matter Physics, Mechanics of Materials, Mechanical Engineering, Applied Mathematics
Electronic version(s)
https://doi.org/10.1016/S0020-7683(96)00205-3 (Access: Unknown)
 

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