International Journal of Fracture

, Volume 128, Issue 1–4, pp 271–276 | Cite as

Fractal models in fracture mechanics

  • Arseny Kashtanov
  • Yuri Petrov


Application of fractal geometry to the problems of fracture mechanics is discussed. Fractal generalization of the energy balance equation to the case of non-square root singularities of the stress field is proposed. Analysis of the fracture at the sharp angular notch in a plate on the basis of the generalized energy balance equation is performed. Good corroboration between the suggested approach and experiments is observed.


Fracture Surface Fractal Dimension Critical Loading Fracture Process Fractal Model 
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Copyright information

© Kluwer Academic Publishers 2004

Authors and Affiliations

  • Arseny Kashtanov
    • 1
  • Yuri Petrov
    • 1
  1. 1.Elasticity DepartmentSt.-Petersburg State University, Mathematics and Mechanics FacultySt.-PetersburgRussia

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