Ductile Fracture

  • Dominique François
  • André Pineau
  • André Zaoui
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 191)


Ductile fracture is the result of the nucleation, growth and coalescence of voids. These three stages can be simulated by FEM cell calculations. The nucleation of cavities takes place on second-phase particles. Dislocations interaction or Eshelby model of local stresses in inclusions allow calculation of nucleation conditions. The heterogeneous nature of the distribution of second-phase particles involves establishing nucleation rate functions. Various models (McClintock, Rice and Tracey) give the growth rate of an isolated cavity. Extensions of these models allow taking into account the interaction between cavities and others yield the behaviour of a porous material (Gurson, Rousselier). The coalescence of voids can be predicted thanks to models based on metallurgical observations or on local shear instability (Thomason). The prediction of the fracture strain should consider the heterogeneous distribution of second-phase particles.

The models of cavity nucleation and growth applied in the crack tip region together with analyses of the stress and strain fields allow calculation of the fracture toughness. This leads to simplified models for the prediction of fracture toughness.


Duplex Stainless Steel Stress Triaxiality Void Growth Void Nucleation Cavity Growth 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  • Dominique François
    • 1
  • André Pineau
    • 2
    • 3
  • André Zaoui
    • 3
    • 4
  1. 1.École Centrale de ParisParisFrance
  2. 2.École des Mines de Paris Paris Tech Centre des Matériaux UMR CNRSÉvry CedexFrance
  3. 3.Academy of EngineeringParisFrance
  4. 4.French Académie des SciencesParisFrance

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