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Acta Mechanica Sinica

, Volume 6, Issue 4, pp 333–342 | Cite as

Analysis of the large deflection dynamic plastic response of simply-supported circular plates by the “membrane factor method

  • Yu Tongxi
  • Chen Faliang
Article

Abstract

Based on energy equilibrium, a new procedure called the Membrane Factor Method is developed to analyze the dynamic plastic response of plates with deflections in the range where both bending moments and membrane forces are important. The final deflection of a simply-supported circular rigid-plastic plate loaded by a uniformly distributed impulse is obtained. In comparison with other approximate solutions, the present results are found to be simpler and in better agreement with the corresponding experimental values reoorded by Florence.

Key Words

dynamic plastic response of plates large deflection Membrane Factor Method 

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References

  1. [1]
    Hopkins, H.G. and Prager, W.,J. Mech. Phys. Solids,2(1953), 1–13.MathSciNetCrossRefGoogle Scholar
  2. [2]
    Onat, E.T. and Haythornthwaite, R.M.,J. Appl. Mech.,23(1956), 49–55.zbMATHGoogle Scholar
  3. [3]
    Calladine, C.R., in Engineering Plasticity, edited by Heyman, J. and Leckie, F. A. Cambridge Univ. Press (1968), 93–127.Google Scholar
  4. [4]
    Kondo, K. and Pian, T.H.H.,Int. J. Solids Structures,17(1981), 1043–1055.zbMATHCrossRefGoogle Scholar
  5. [5]
    Hopkins, H.G. and Prager, W.,ZAMP (J. Appl. Math. Phys.),5, 4(1954), 317–330.zbMATHMathSciNetCrossRefGoogle Scholar
  6. [6]
    Wang, A.J. and Hopkins, H. G.,J. Mech. Phys. Solids,3, 1(1954), 22–37.MathSciNetCrossRefGoogle Scholar
  7. [7]
    Wang, A.J.,J. Appl. Mech.,22(1955), 375–376zbMATHGoogle Scholar
  8. [8]
    Florence, A.L.,Int.. Solids Structures,2(1966), 37–47.CrossRefGoogle Scholar
  9. [9]
    Jones, N.,J. Appl. Mech.,35(1968), 59–65.Google Scholar
  10. [10]
    Reissner, E., Proceedings Symposium of Applied Mathematics,1, American Mathematical Society, N. Y. (1949). 213–219.Google Scholar
  11. [11]
    Yu, T. X. and Stronge, W. J.,Int. J. Impact Engng., 9(1990), 115–126.CrossRefGoogle Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1990

Authors and Affiliations

  • Yu Tongxi
    • 1
  • Chen Faliang
    • 1
  1. 1.Dept. of MechanicsPeking UniversityBeijingChina

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