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 
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Copyright information

© Hust Press 1983

Authors and Affiliations

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

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