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

  • Y. Kanto
  • G. Yagawa
Conference paper


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.


Variational Inequality Dynamic Contact Present Paper Deal Contact Phenomenon Point Step 
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  1. 1.
    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
  2. 2.
    Okamoto, N.: Nakazawa, M.: Finite Element Incremental Contact Analysis with Various Frictional Conditions, Int. J. num. Meth. Engng., Vol.14, pp.337–357, 1979.MATHCrossRefGoogle Scholar
  3. 3.
    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.MATHCrossRefGoogle Scholar
  4. 4.
    Oden, J.T.; Kikuchi, N.: Finite Element Methods for Constrained Problems in Elasticity, Int. J. num. Meth. Engng., Vol.18, pp.701–725, 1982.MathSciNetMATHCrossRefGoogle Scholar
  5. 5.
    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.MATHCrossRefGoogle Scholar
  6. 6.
    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.MATHCrossRefGoogle Scholar
  7. 7.
    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.CrossRefGoogle Scholar
  8. 8.
    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.CrossRefGoogle Scholar

Copyright information

© Springer Japan 1986

Authors and Affiliations

  • Y. Kanto
    • 1
  • G. Yagawa
    • 2
  1. 1.Technology Development CenterToyohashi University of TechnologyToyohashi, 440Japan
  2. 2.Department of Nuclear EngineeringUniversity of TokyoHongo, Bunkyo-ku, Tokyo, 113Japan

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