Finite element calculation of the stability behaviour of hyperelastic solids with the enhanced strain method
- verfasst von
- S. Reese, Peter Wriggers
- 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.
- Externe Organisation(en)
-
Technische Universität Darmstadt
- Typ
- Artikel
- Journal
- ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
- Band
- 76
- Seiten
- 415-416
- Anzahl der Seiten
- 2
- ISSN
- 0044-2267
- Publikationsdatum
- 1996
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Numerische Mechanik, Angewandte Mathematik
