Edge stress intensity functions along elliptic and part-elliptic 3D cracks

Zohar Yosibash, Yaron Schapira

Research output: Contribution to journalArticlepeer-review


Three-dimensional part-elliptic crack fronts are common in engineering practice. Herein we formulate a computational method, known as the quasidual function method (QDFM) for the functional representation of edge stress intensity functions (ESIFs) along such cracks in 3D domains. It is an efficient post-processing algorithm that may use the finite element solution away from the singular edge. Numerical examples including an internal elliptic crack, a surface half-elliptic crack and a quarter elliptic crack from a hole are provided, demonstrating the efficiency and accuracy of the proposed method.

Original languageEnglish
Article number107477
JournalEngineering Fracture Mechanics
StatePublished - 15 Mar 2021


  • 3-D singularities
  • Elliptic crack
  • Part-elliptic crack
  • Semi-elliptic crack
  • Stress intensity functions

All Science Journal Classification (ASJC) codes

  • Materials Science(all)
  • Mechanics of Materials
  • Mechanical Engineering


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