Applied Mathematics and Mechanics

, Volume 4, Issue 3, pp 377–384 | Cite as

On path-independent integrals in three-dimensional nonlinear fracture dynamics

  • Lu Mei-zi


This paper deals with the path-independent integrals in nonlinear three-dimensional fracture dynamics. Both the nonlinear elastic case and the elastic-plastic case are considered, and some path-independent integrals have been worked out. For explaining the physical meaning of these integrals, a specimen with plane notch is considered, and the relation between the integral and dynamical crack extension force is established. Thus, such integrals may serve as a fracture criterion in nonlinear fracture dynamics.


Mathematical Modeling Industrial Mathematic Physical Meaning Fracture Criterion Crack Extension 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Rice, J.R., J. A. M., Vol. 35, No. 2. (1968).Google Scholar
  2. 2.
    Quyang, C., Int. J. Eng. Sci., Vol. 18, No. 2, (1980).Google Scholar
  3. 3.
    Ouyang, C., TICOM Report, UT Austin, U.S.A. (1981).Google Scholar
  4. 4.
    Ouyang, C., Appl. Math. and Mech., No. 3, (1982).Google Scholar

Copyright information

© Hust Press 1983

Authors and Affiliations

  • Lu Mei-zi
    • 1
  1. 1.Shandong Mining InstituteChina

Personalised recommendations