Acta Mechanica Solida Sinica

, Volume 19, Issue 2, pp 122–127 | Cite as

Semi-elliptic surface crack in an elastic solid with finite size under impact loading

  • Ruiping Guo
  • Guanting Liu
  • Tianyou Fan


In this paper a semi-elliptic surface crack problem in an elastic solid of finite size under impact loading is investigated. An analysis is performed by means of fracture dynamics and the finite element method, and a three-dimensional finite element program is developed to compute the dynamic stress intensity factor. The results reveal that the effects of the solid’s boundary surface, crack surface, material inertia and stress wave interactions play significant roles in dynamic fracture.

Key words

surface crack solid of finite size impact loading dynamic stress intensity factor finite element method 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    Irwin, G.R., The crack extension force for a part-through crack in a plate, J. Appl. Mech., Vol.29, 1962, 651–654.CrossRefGoogle Scholar
  2. [2]
    Green, A.E. and Sneddon, I.N., The distribution of stress in the neighbourhood of a flat elliptical crack in an elastic solid, Proc. the Phil. Soc., Vol.46, 1950, 159–163.MathSciNetCrossRefGoogle Scholar
  3. [3]
    Cruise, T.A., Boundary integral equation method: computational application in applied mechanics, ASME AMD, New York, 1975.Google Scholar
  4. [4]
    Newman, J.C. and Raju, I.S., An empirical stress-intensity factor equation for the surface crack, Eng. Fract. Mech., Vol.15, 1981, 185–192.CrossRefGoogle Scholar
  5. [5]
    Isida, M., Noguchi, H. and Yoshida, T., Tension and bending of finite thickness plates with a semi-elliptical surface crack, Int. J. Fract., Vol.26, 1984, 157–188.CrossRefGoogle Scholar
  6. [6]
    Ruiz, C., Epstein, J., On the variation of the stress intensity factor along the front of a surface flaw, Int. J. Fract., Vol.28, 1985, 231–238.Google Scholar
  7. [7]
    Swedlow, J.L., The Surface Crack: Physical Problems and Computational Solution, The American Society of Mechanical Engineers, New York, 1972.Google Scholar
  8. [8]
    Kanninen, M.F. and Popelar, C.H., Advanced Fracture Mechanics, Oxford Press, New York, 1985.zbMATHGoogle Scholar
  9. [9]
    Parton, V.Z., and Boriskovsky, V.G., Dynamic Fracture Mechanics, Hemisphere, New York, 1990.Google Scholar
  10. [10]
    Freund, L.B., Dynamic Fracture Mechanics, Combrige University Press, New York, 1990.CrossRefGoogle Scholar
  11. [11]
    Aliabadi, M.H., Dynamic Fracture Mechanics, Computational Mechanics Publications, Southampton, 1995.zbMATHGoogle Scholar
  12. [12]
    Sun, Z.F., Wu, X.F. and Fan, T.Y., Three-dimensional elliptic crack under impact loading, Acta Mechanica Solida Sinica, Vol.14, 2001, 312–316.Google Scholar
  13. [13]
    Fan, T.Y., Introduction of Dynamic Fracture Mechanics, Beijing Institute of Technology Press, Beijing, 1990.Google Scholar
  14. [14]
    Wang, X.C. and Shao, M., Foundametal Theory and Numerical Method of Finite Element Method, Tshinghua University Press, Beijing, 1997 (in Chinese).Google Scholar
  15. [15]
    Hughes, T.L.J., The Finite Element Method: Linear Static and Dynamic Finite Element Analysis, Englewood Cliffs, NJ Prentice-Hall, 1987.zbMATHGoogle Scholar
  16. [16]
    Sih, G.C.(ed.), Mechanics of Fracture, Noorhoff International Publishing, Leyden, 1977.zbMATHGoogle Scholar

Copyright information

© The Chinese Society of Theoretical and Applied Mechanics and Technology 2006

Authors and Affiliations

  • Ruiping Guo
    • 1
  • Guanting Liu
    • 2
  • Tianyou Fan
    • 3
  1. 1.Academy of Equipment Command and TechnologyBeijingChina
  2. 2.Department of MathematicsInner Mongolia Normal UniversityHuhhotChina
  3. 3.Department of PhysicsBeijing Institute of TechnologyBeijingChina

Personalised recommendations