Numerical Analyses of Dynamic Contact Buckling Problems Using the Penalty Finite Element Method

Kanto, Y.; Yagawa, G.

doi:10.1007/978-4-431-68042-0_84

Y. Kanto³ &
G. Yagawa⁴

24 Accesses

Summary

The present paper deals with the application of the penalty finite element method to the dynamic contact problems. The try-and-error method is employed to obtain the converged contact state. To show the effectiveness and the validity of the method, the dynamic buckling of an arch of sine-curve shape is analyzed for three kinds of loadings including the contact phenomena.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution

Chapter: USD 29.95; Price excludes VAT (USA)

eBook: USD 74.99; Price excludes VAT (USA)

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

References

Tsuta, T.; Yamaji, S.: Finite Element Analysis of Contact Problems, in Theory and Practice in Finite Element Structural Analysis, University of Tokyo Press, 1973.
Google Scholar
Okamoto, N.: Nakazawa, M.: Finite Element Incremental Contact Analysis with Various Frictional Conditions, Int. J. num. Meth. Engng., Vol.14, pp.337–357, 1979.
Article MATH Google Scholar
Yagawa, G.; Hirayama: A Finite Element Method for Contact Problems Related to Fracture Mechanics, Int. J. num. Meth. Engng., Vol.20, pp.2175–2195, 1984.
Article MATH Google Scholar
Oden, J.T.; Kikuchi, N.: Finite Element Methods for Constrained Problems in Elasticity, Int. J. num. Meth. Engng., Vol.18, pp.701–725, 1982.
Article MathSciNet MATH Google Scholar
Johnson, G.R.; Colby, D.D.; Vavrick, D.J.: Three-Dimensional Computer Code for Dynamic Response of Solids to Intense Impulsive Loads, Int. J. num. Meth. Engng., Vol.14, pp. 1865–1871, 1979.
Article MATH Google Scholar
Talaslidis, D.; Panagiotopoulos, P.D.: A Linear Finite Element Approach to the Solution of the Variational Inequalities Arising in Contact Problems of Structural Dynamics, Int. J. num. Meth. Engng., Vol.18, pp.1505–1520, 1982.
Article MATH Google Scholar
Pian, T.H.H.; Bucciarelli, Jr., L.L.: Buckling of Radially Constrained Circular Ring under Distributed Loading, Int. J. Solids Struct., Vol.3, pp.715–730, 1967.
Article Google Scholar
Updike, D.P.; Kalnins, A.: Axisymmetric Behavior of an Elastic Spherical Shell Compressed between Rigid Plates, Trans. ASME, Ser. E, Vol.37, pp.635–640, 1970.
Article Google Scholar

Download references

Author information

Authors and Affiliations

Technology Development Center, Toyohashi University of Technology, Toyohashi, 440, Japan
Y. Kanto
Department of Nuclear Engineering, University of Tokyo, Hongo, Bunkyo-ku, Tokyo, 113, Japan
G. Yagawa

Authors

Y. Kanto
View author publications
You can also search for this author in PubMed Google Scholar
G. Yagawa
View author publications
You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

Department of Nuclear Engineering, The University of Tokyo, 3-1, Hongo 7-chome, Bunkyo-ku, Tokyo 113, Japan
Genki Yagawa
Center for the Advancement of Computational Mechanics, School of Civil Engineering, Georgia Institute of Technology, 225, North Avenue, Atlanta, GA, 30332, USA
Satya N. Atluri

Rights and permissions

Reprints and permissions

Copyright information

About this paper

Cite this paper

Kanto, Y., Yagawa, G. (1986). Numerical Analyses of Dynamic Contact Buckling Problems Using the Penalty Finite Element Method. In: Yagawa, G., Atluri, S.N. (eds) Computational Mechanics ’86. Springer, Tokyo. https://doi.org/10.1007/978-4-431-68042-0_84

Download citation

DOI: https://doi.org/10.1007/978-4-431-68042-0_84
Publisher Name: Springer, Tokyo
Print ISBN: 978-4-431-68044-4
Online ISBN: 978-4-431-68042-0
eBook Packages: Springer Book Archive

Publish with us

Policies and ethics