Details
| Original language | English |
|---|---|
| Title of host publication | Anal Comput Model Shell Presented Winter Ann Meet ASME |
| Pages | 135-159 |
| Number of pages | 25 |
| Publication status | Published - 1989 |
| Event | Analytical and Computational Models of Shells - Presented at the Winter Annual Meeting of the ASME - San Francisco, CA, USA Duration: 10 Dec 1989 → 15 Dec 1989 |
Publication series
| Name | Anal Comput Model Shell Presented Winter Ann Meet ASME |
|---|
Abstract
A bending theory for thin shells undergoing finite rotations is presented, and its associated finite element model is described. The kinematic assumption is based on a shear elastic Reissner-Mindlin theory. The starting point for the derivation of the strain measures is the three-dimensional principle of virtual work. Here, the polar decomposition of the shell material deformation gradient leads to symmetric strain measures. The associated work-conjugate stress resultants and stress couples are integrals of the Biot stress tensor. This tensor is invariant with respect to rigid body motions and therefore appropriate for the formulation of constitutive equations. The rotations are described through Eulerian angles.
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Anal Comput Model Shell Presented Winter Ann Meet ASME. 1989. p. 135-159 (Anal Comput Model Shell Presented Winter Ann Meet ASME).
Research output: Chapter in book/report/conference proceeding › Conference contribution › Research › peer review
}
TY - GEN
T1 - Thin shells with finite rotations. Theory and finite element formulation
AU - Wriggers, Peter
AU - Gruttmann, F.
PY - 1989
Y1 - 1989
N2 - A bending theory for thin shells undergoing finite rotations is presented, and its associated finite element model is described. The kinematic assumption is based on a shear elastic Reissner-Mindlin theory. The starting point for the derivation of the strain measures is the three-dimensional principle of virtual work. Here, the polar decomposition of the shell material deformation gradient leads to symmetric strain measures. The associated work-conjugate stress resultants and stress couples are integrals of the Biot stress tensor. This tensor is invariant with respect to rigid body motions and therefore appropriate for the formulation of constitutive equations. The rotations are described through Eulerian angles.
AB - A bending theory for thin shells undergoing finite rotations is presented, and its associated finite element model is described. The kinematic assumption is based on a shear elastic Reissner-Mindlin theory. The starting point for the derivation of the strain measures is the three-dimensional principle of virtual work. Here, the polar decomposition of the shell material deformation gradient leads to symmetric strain measures. The associated work-conjugate stress resultants and stress couples are integrals of the Biot stress tensor. This tensor is invariant with respect to rigid body motions and therefore appropriate for the formulation of constitutive equations. The rotations are described through Eulerian angles.
UR - http://www.scopus.com/inward/record.url?scp=0024934389&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0024934389
SN - 0791803732
T3 - Anal Comput Model Shell Presented Winter Ann Meet ASME
SP - 135
EP - 159
BT - Anal Comput Model Shell Presented Winter Ann Meet ASME
T2 - Analytical and Computational Models of Shells - Presented at the Winter Annual Meeting of the ASME
Y2 - 10 December 1989 through 15 December 1989
ER -