Details
| Original language | English |
|---|---|
| Pages (from-to) | 474-486 |
| Number of pages | 13 |
| Journal | Archive of applied mechanics |
| Volume | 62 |
| Issue number | 7 |
| Publication status | Published - Jul 1992 |
| Externally published | Yes |
Abstract
A bending theory for thin shells undergoing finite deformations is presented, and its associated finite element model is described. The kinematic assumptions are of Reissner-Mindlin type. The formulation is based on the introduction of a mixed functional with independent in-plane rotation field and skew-symmetric part of membrane forces. The resulting Euler-Lagrangian equations yield the equilibrium of stress resultants and the couple resultant with respect to the surface normal. Furthermore, the equality of the independent rotation field with the displacement dependent rotation field is enforced. Hence, the symmetry of the stress resultants is fulfilled in a weak sence. Naturally, the development of a quadrilateral finite element includes drilling degrees of freedom. The displacement field is approximated using an Allman-type interpolation.
ASJC Scopus subject areas
- Engineering(all)
- Mechanical Engineering
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In: Archive of applied mechanics, Vol. 62, No. 7, 07.1992, p. 474-486.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A nonlinear quadrilateral shell element with drilling degrees of freedom
AU - Gruttmann, F.
AU - Wagner, W.
AU - Wriggers, Peter
PY - 1992/7
Y1 - 1992/7
N2 - A bending theory for thin shells undergoing finite deformations is presented, and its associated finite element model is described. The kinematic assumptions are of Reissner-Mindlin type. The formulation is based on the introduction of a mixed functional with independent in-plane rotation field and skew-symmetric part of membrane forces. The resulting Euler-Lagrangian equations yield the equilibrium of stress resultants and the couple resultant with respect to the surface normal. Furthermore, the equality of the independent rotation field with the displacement dependent rotation field is enforced. Hence, the symmetry of the stress resultants is fulfilled in a weak sence. Naturally, the development of a quadrilateral finite element includes drilling degrees of freedom. The displacement field is approximated using an Allman-type interpolation.
AB - A bending theory for thin shells undergoing finite deformations is presented, and its associated finite element model is described. The kinematic assumptions are of Reissner-Mindlin type. The formulation is based on the introduction of a mixed functional with independent in-plane rotation field and skew-symmetric part of membrane forces. The resulting Euler-Lagrangian equations yield the equilibrium of stress resultants and the couple resultant with respect to the surface normal. Furthermore, the equality of the independent rotation field with the displacement dependent rotation field is enforced. Hence, the symmetry of the stress resultants is fulfilled in a weak sence. Naturally, the development of a quadrilateral finite element includes drilling degrees of freedom. The displacement field is approximated using an Allman-type interpolation.
UR - http://www.scopus.com/inward/record.url?scp=34249832819&partnerID=8YFLogxK
U2 - 10.1007/BF00810238
DO - 10.1007/BF00810238
M3 - Article
AN - SCOPUS:34249832819
VL - 62
SP - 474
EP - 486
JO - Archive of applied mechanics
JF - Archive of applied mechanics
SN - 0939-1533
IS - 7
ER -