Mixed-mode fatigue crack growth using cohesive zone modeling

Habeun Choi, Kyoungsoo Park, Glaucio H. Paulino

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)


In order to capture nonlinear crack tip behavior and account for mixed-mode fatigue crack growth, a cohesive zone based fatigue crack growth model is proposed in conjunction with the Park-Paulino-Roesler (PPR) traction-separation relationship. The model clearly defines five stages during arbitrary fatigue loading: softening, unloading, reloading, contact, and complete failure. The cohesive traction-separation relationship is based on the PPR fracture potential, while the fatigue damage is accumulated by introducing two conjugate damage measures. One damage measure is associated with the rate of separation, while the other is related to the rate of traction (or local stress). Additionally, two model constants are introduced to control the normal contact condition, which may be associated with physical conditions such as crack closure, crack face roughness, and oxidation of fracture surface. Furthermore, computational simulations of the proposed fatigue crack growth model are performed for a simple mode-I test, double cantilever beam test, modified mixed-mode bending test, and three-point bending test. The observed computational results lead to stable and consistent fatigue crack growth.

Original languageEnglish
Article number107234
JournalEngineering Fracture Mechanics
Publication statusPublished - 2020 Dec

Bibliographical note

Funding Information:
We thank Prof. Robert H. Dodds Jr. for insightful discussions that enriched the intellectual content of this paper. KP and GHP acknowledge the financial support from the US Air Force Research Laboratory Air Vehicles Directorate (FA8650-06–2-3620). Additionally, KP and HC acknowledge supports from Basic Science Research Program through the National Research Foundation of Korea (NRF: 2018R1A2B6007054), and from the Korea Institute of Energy Technology Evaluation and Planning (KETEP: 20171510101910). GHP acknowledges support from the Raymond Allen Jones Chair at the Georgia Institute of Technology. The information presented in this paper represents the sole opinion of the authors, and does not necessarily reflect the views of the sponsoring agency.

Publisher Copyright:
© 2020 The Author(s)

All Science Journal Classification (ASJC) codes

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


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