Details
| Original language | English |
|---|---|
| Pages (from-to) | 415-416 |
| Number of pages | 2 |
| Journal | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
| Volume | 76 |
| Issue number | SUPPL. 5 |
| Publication status | Published - 1996 |
| Externally published | Yes |
Abstract
The stability behaviour of hyperelastic solids is characterized by two different kinds of instabilities. First, there are structural instabilities which occur under compressive stresses for moderate strains but large displacements. Structural instabilities depend only quantitatively on the chosen material law. In contrast to this, material instabilities can be observed only for certain constitutive relations (qualitative dependence). They occur under tensile stresses for large strains. To investigate the stability behaviour of hyperelastic solids, it is necessary to take into account geometncal as well as material non-linearities. This can be done by a numerical method. Here, the finite element method is used. Rubber represents a nearly incompressible material. Additionally, bending dominated secondary deformation states occur. In these situations standard displacement element formulations show extreme locking behaviour, i.e., the calculated displacements are much too small. To overcome this problem, the enhanced strain method is used, with which locking-free elements can be obtained.
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Mathematics(all)
- Applied Mathematics
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In: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Vol. 76, No. SUPPL. 5, 1996, p. 415-416.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Finite element calculation of the stability behaviour of hyperelastic solids with the enhanced strain method
AU - Reese, S.
AU - Wriggers, Peter
PY - 1996
Y1 - 1996
N2 - The stability behaviour of hyperelastic solids is characterized by two different kinds of instabilities. First, there are structural instabilities which occur under compressive stresses for moderate strains but large displacements. Structural instabilities depend only quantitatively on the chosen material law. In contrast to this, material instabilities can be observed only for certain constitutive relations (qualitative dependence). They occur under tensile stresses for large strains. To investigate the stability behaviour of hyperelastic solids, it is necessary to take into account geometncal as well as material non-linearities. This can be done by a numerical method. Here, the finite element method is used. Rubber represents a nearly incompressible material. Additionally, bending dominated secondary deformation states occur. In these situations standard displacement element formulations show extreme locking behaviour, i.e., the calculated displacements are much too small. To overcome this problem, the enhanced strain method is used, with which locking-free elements can be obtained.
AB - The stability behaviour of hyperelastic solids is characterized by two different kinds of instabilities. First, there are structural instabilities which occur under compressive stresses for moderate strains but large displacements. Structural instabilities depend only quantitatively on the chosen material law. In contrast to this, material instabilities can be observed only for certain constitutive relations (qualitative dependence). They occur under tensile stresses for large strains. To investigate the stability behaviour of hyperelastic solids, it is necessary to take into account geometncal as well as material non-linearities. This can be done by a numerical method. Here, the finite element method is used. Rubber represents a nearly incompressible material. Additionally, bending dominated secondary deformation states occur. In these situations standard displacement element formulations show extreme locking behaviour, i.e., the calculated displacements are much too small. To overcome this problem, the enhanced strain method is used, with which locking-free elements can be obtained.
UR - http://www.scopus.com/inward/record.url?scp=21444445473&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:21444445473
VL - 76
SP - 415
EP - 416
JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
SN - 0044-2267
IS - SUPPL. 5
ER -