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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Vydané v:Engineering computations Ročník 19; číslo 3; s. 254 - 271
Hlavní autori: Klinkel, Sven, Govindjee, Sanjay
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Bradford MCB UP Ltd 01.01.2002
Emerald Group Publishing Limited
Predmet:
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
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Abstract 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.
AbstractList 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.
Author Govindjee, Sanjay
Klinkel, Sven
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  surname: Govindjee
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  organization: Structural Engineering, Mechanics and Materials, Department of Civil and Environmental Engineering, University of California, Berkeley, CA, USA
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SubjectTerms Algorithms
Engineering
Finite element analysis
Kinematics
Mathematical models
Stress analysis
Studies
Title Using finite strain 3D-material models in beam and shell elements
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