Details
| Original language | English |
|---|---|
| Pages (from-to) | 104-114 |
| Number of pages | 11 |
| Journal | Computational mechanics |
| Volume | 32 |
| Issue number | 1-2 |
| Publication status | Published - Sept 2003 |
Abstract
In this paper we introduce the finite element version of the so-called post-processed Galerkin method into the field of solid mechanics and apply the new technique to the dynamics of shells. The proposed post-processed method provides low-cost means to lift low-dimensional solutions to high-dimensional solutions. It is the very fact that the kinematical fields are improved to higher orders which makes the method of great interest. Our shell theory is geometrically exact in the sense that all non-linearities are included in the formulation. For time integration an energy/momentum scheme is used to enhance integration stability. Two hierarchical enhanced finite elements are formulated, on the basis of which a specific post-processed method is then developed. With the help of some examples of non-linear shell vibrations, a critical examination and validation of the post-processed method is carried out.
Keywords
- Finite elements, Hierarchical, Non-linear dynamics, Post-processed Galerkin, Redūktion methods
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 32, No. 1-2, 09.2003, p. 104-114.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - A finite element post-processed Galerkin method for dimensional reduction in the non-linear dynamics of solids. Applications to shells
AU - Sansour, C.
AU - Wriggers, Peter
AU - Sansour, J.
PY - 2003/9
Y1 - 2003/9
N2 - In this paper we introduce the finite element version of the so-called post-processed Galerkin method into the field of solid mechanics and apply the new technique to the dynamics of shells. The proposed post-processed method provides low-cost means to lift low-dimensional solutions to high-dimensional solutions. It is the very fact that the kinematical fields are improved to higher orders which makes the method of great interest. Our shell theory is geometrically exact in the sense that all non-linearities are included in the formulation. For time integration an energy/momentum scheme is used to enhance integration stability. Two hierarchical enhanced finite elements are formulated, on the basis of which a specific post-processed method is then developed. With the help of some examples of non-linear shell vibrations, a critical examination and validation of the post-processed method is carried out.
AB - In this paper we introduce the finite element version of the so-called post-processed Galerkin method into the field of solid mechanics and apply the new technique to the dynamics of shells. The proposed post-processed method provides low-cost means to lift low-dimensional solutions to high-dimensional solutions. It is the very fact that the kinematical fields are improved to higher orders which makes the method of great interest. Our shell theory is geometrically exact in the sense that all non-linearities are included in the formulation. For time integration an energy/momentum scheme is used to enhance integration stability. Two hierarchical enhanced finite elements are formulated, on the basis of which a specific post-processed method is then developed. With the help of some examples of non-linear shell vibrations, a critical examination and validation of the post-processed method is carried out.
KW - Finite elements
KW - Hierarchical
KW - Non-linear dynamics
KW - Post-processed Galerkin
KW - Redūktion methods
UR - http://www.scopus.com/inward/record.url?scp=0242573630&partnerID=8YFLogxK
U2 - 10.1007/s00466-003-0465-9
DO - 10.1007/s00466-003-0465-9
M3 - Article
AN - SCOPUS:0242573630
VL - 32
SP - 104
EP - 114
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 1-2
ER -