Using finite strain 3D-material models in beam and shell elements

In this paper an interface is derived between arbitrary three-dimensional material laws and finite elements which include special stress conditions. The mechanical models of beams and shells are usually based upon zero-stress conditions. This requires a material law respecting the stress condition f...

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Bibliographic Details
Published in:Engineering computations Vol. 19; no. 3; pp. 254 - 271
Main Authors: Klinkel, Sven, Govindjee, Sanjay
Format: Journal Article
Language:English
Published: Bradford MCB UP Ltd 01.01.2002
Emerald Group Publishing Limited
Subjects:
Algorithms
Engineering
Finite element analysis
Kinematics
Mathematical models
Stress analysis
Studies
United States > US
Finite elements
Beams
Plane stress analysis
ISSN:0264-4401, 1758-7077
Online Access:Get full text
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Summary:In this paper an interface is derived between arbitrary three-dimensional material laws and finite elements which include special stress conditions. The mechanical models of beams and shells are usually based upon zero-stress conditions. This requires a material law respecting the stress condition for each finite element formulation. Complicated materials, e.g. finite strain models are often described in the 3D-continuum. Considering the zero-stress condition requires a reformulation of these material laws, which is often complicated. The subject of this paper is to incorporate physically non-linear 3D-material laws in beam and shell elements. To this effect a local algorithm will be developed to condense an arbitrary 3D-material law with respect to the zero-stress condition. The algorithm satisfies the stress condition at each integration point on the element level.
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ISSN:0264-4401
1758-7077
DOI:10.1108/02644400210423918