Details
| Original language | English |
|---|---|
| Pages (from-to) | 3433-3454 |
| Number of pages | 22 |
| Journal | International Journal of Solids and Structures |
| Volume | 34 |
| Issue number | 26 |
| Publication status | Published - Sept 1997 |
| Externally published | Yes |
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.
ASJC Scopus subject areas
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- Physics and Astronomy(all)
- Condensed Matter Physics
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Mathematics(all)
- Applied Mathematics
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In: International Journal of Solids and Structures, Vol. 34, No. 26, 09.1997, p. 3433-3454.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Material instabilities of an incompressible elastic cube under triaxial tension
AU - Reese, S.
AU - Wriggers, Peter
PY - 1997/9
Y1 - 1997/9
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0031232949&partnerID=8YFLogxK
U2 - 10.1016/S0020-7683(96)00205-3
DO - 10.1016/S0020-7683(96)00205-3
M3 - Article
AN - SCOPUS:0031232949
VL - 34
SP - 3433
EP - 3454
JO - International Journal of Solids and Structures
JF - International Journal of Solids and Structures
SN - 0020-7683
IS - 26
ER -