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, General Materials Science, 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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