Details
| Original language | English |
|---|---|
| Pages (from-to) | 4027-4043 |
| Number of pages | 17 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 36 |
| Issue number | 23 |
| Publication status | Published - 15 Dec 1993 |
| Externally published | Yes |
Abstract
An axisymmetrical shell element for large deformations is developed by using Ogden's non‐linear elastic material law. This constitutive equation, however, demands the neglect of transverse shear deformations in order to yield a consistent theory. Therefore, the theory can be applied to thin shells only. Eventually a ‘quasi‐Kirchhoff‐type theory’ emerges. Within this approach the computation of the deformed director vector d is a main assumption which is essential to describe the fully non‐linear bending behaviour. Furthermore, special attention is paid to the linearization procedure in order to obtain quadratic convergence behaviour within Newton's method. Finally, the finite element formulation for a conical two‐node element is given. Several examples show the applicability and performance of the proposed formulation.
ASJC Scopus subject areas
- Mathematics(all)
- Numerical Analysis
- Engineering(all)
- Mathematics(all)
- Applied Mathematics
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In: International Journal for Numerical Methods in Engineering, Vol. 36, No. 23, 15.12.1993, p. 4027-4043.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A fully non‐linear axisymmetrical quasi‐kirchhoff‐type shell element for rubber‐like materials
AU - Eberlein, R.
AU - Wriggers, Peter
AU - Taylor, R. L.
PY - 1993/12/15
Y1 - 1993/12/15
N2 - An axisymmetrical shell element for large deformations is developed by using Ogden's non‐linear elastic material law. This constitutive equation, however, demands the neglect of transverse shear deformations in order to yield a consistent theory. Therefore, the theory can be applied to thin shells only. Eventually a ‘quasi‐Kirchhoff‐type theory’ emerges. Within this approach the computation of the deformed director vector d is a main assumption which is essential to describe the fully non‐linear bending behaviour. Furthermore, special attention is paid to the linearization procedure in order to obtain quadratic convergence behaviour within Newton's method. Finally, the finite element formulation for a conical two‐node element is given. Several examples show the applicability and performance of the proposed formulation.
AB - An axisymmetrical shell element for large deformations is developed by using Ogden's non‐linear elastic material law. This constitutive equation, however, demands the neglect of transverse shear deformations in order to yield a consistent theory. Therefore, the theory can be applied to thin shells only. Eventually a ‘quasi‐Kirchhoff‐type theory’ emerges. Within this approach the computation of the deformed director vector d is a main assumption which is essential to describe the fully non‐linear bending behaviour. Furthermore, special attention is paid to the linearization procedure in order to obtain quadratic convergence behaviour within Newton's method. Finally, the finite element formulation for a conical two‐node element is given. Several examples show the applicability and performance of the proposed formulation.
UR - http://www.scopus.com/inward/record.url?scp=0027839976&partnerID=8YFLogxK
U2 - 10.1002/nme.1620362307
DO - 10.1002/nme.1620362307
M3 - Article
AN - SCOPUS:0027839976
VL - 36
SP - 4027
EP - 4043
JO - International Journal for Numerical Methods in Engineering
JF - International Journal for Numerical Methods in Engineering
SN - 0029-5981
IS - 23
ER -