Influence on singular element size in stress analysis for three dimensional bonded structures
Takahiko Kurahashi1, Yutaro Watanabe2, Toshimi Kondo3, and Hideo Koguchi4
1,4 Nagaoka University of Technology, Nagaoka, Japan 940-2188, [email protected]
2 Advanced Course of Nagaoka National College of Technology, Nagaoka, Japan 940-8532
3 Nagaoka National College of Technology, Nagaoka, Japan 940-8532
In this study, we present influence of three dimensional singular element using order of singularity vertex obtained by finite element eigen analysis is investigated in stress analysis for bonded structures. Mild steel – aluminum and silicon - resin bonded structures are employed as the computational model (See Fig.1). In numerical experiments, the stress analysis was carried out by changing the minimum mesh size near vertex on interface(See Fig.2), and the variation of intensity of stress singularity around singular point was investigated.
Acknowledgement
This work was supported by Grant-in-Aid for Young Scientists (B) (No. 25820015), Grant-in-Aid for Scientific Research (B) (No. 26289003) and “Program for High Reliable Materials Design and Manufacturing in Nagaoka University of Technology”. We wish to thank you staff of research institute for information technology at Kyushu university for use of super computer system, FUJITSU PRIMERGY CX400.
Fig. 1 Target computational model Fig. 2 Singular and conventional elements
interface
Elements around singularity point Interpolation function by Akin singular element
Other elements Conventional interpolation function
4 4 3 3 2 2 1
) 1
,
(xy SNu SNu SNu SNu
u
4 4 3 3 2 2 1
) 1
,
(xy Nu Nu Nu Nu
u
Material-1
Material-2 Singular
point
Singular line