International Journal of Fracture

, Volume 192, Issue 1, pp 47–56 | Cite as

Numerical simulation of mode-III fracture incorporating interfacial mechanics

  • Lauren A. FergusonEmail author
  • Mallikarjunaiah Muddamallappa
  • Jay R. Walton
Original Paper


Continuum surface methods, including the Sendova–Walton theory, offer a novel approach to fracture modeling in which boundary mechanics are used to augment the classical linear elastic fracture mechanics model for improved prediction of material behavior near fracture surfaces. These methods would be extremely useful in design simulations, but would require numerical implementation which to date has not been available. This has not been previously addressed due to the higher-order tangential derivatives appearing in the fracture surface boundary conditions which make standard implementation techniques, such as the finite element method, a challenge to implement. We propose a method for this implementation which involves reformulating the fracture boundary conditions to remove these higher-order derivatives in the case of mode-III fracture. We also present the initial results of our finite element implementation, which verify the improved stress and displacement field predictions near fracture surfaces.


Surface tension Continuum surface methods Sendova–Walton fracture theory  Mode-III fracture 



This work was supported by the Air Force Office of Scientific Research project 12RX13COR.


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Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Lauren A. Ferguson
    • 1
    • 2
    Email author
  • Mallikarjunaiah Muddamallappa
    • 3
  • Jay R. Walton
    • 3
  1. 1.Air Force Research LaboratoryWright-Patterson AFBDaytonUSA
  2. 2.University of Dayton Research InstituteDaytonUSA
  3. 3.Department of MathematicsTexas A&M UniversityCollege StationUSA

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