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English: This diagram depicts the concept behind a family of models known as cohesive zone fracture models. represents the cohesive traction (sometimes denoted ), , the crack length, , the crack separation displacement, , the remote applied stress, and the length of the plastic zone. The tractions in this diagram are more similar to the atomistically derived tractions from Barenblatt models using an exponential relationship between crack separation displacement and cohesive traction. The Dugdale model on the other hand assumes cohesive traction is a constant and can be considered a special case of the cohesive zone model.[1] This work is an adaptation of the Dugdale fracture model diagram by Suresh[2] (adapted with permission), but also incorporates concepts from Sun et al. [3], and Shi[4]. The original models were created by Dugdale [5]and Barenblatt[6]
Date
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Author Bob Clemintime and S. Suresh

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  1. Sun, C. T., & Jin, Z.-H. (2012). Chapter 9—Cohesive Zone Model. In C. T. Sun & Z.-H. Jin (Eds.), Fracture Mechanics (pp. 227–246). Academic Press. https://doi.org/10.1016/B978-0-12-385001-0.00009-2
  2. Suresh, S. (1998). Fracture mechanics and its implications for fatigue. In Fatigue of Materials (pp. 283-330). Cambridge: Cambridge University Press. doi:10.1017/CBO9780511806575.011
  3. Sun, C. T., & Jin, Z.-H. (2012). Chapter 9—Cohesive Zone Model. In C. T. Sun & Z.-H. Jin (Eds.), Fracture Mechanics (pp. 227–246). Academic Press. https://doi.org/10.1016/B978-0-12-385001-0.00009-2
  4. Shi, Z. (2009). Chapter 2—Linear Elastic and Nonlinear Fracture Mechanics. In Z. Shi (Ed.), Crack Analysis in Structural Concrete (pp. 23–64). Butterworth-Heinemann. https://doi.org/10.1016/B978-0-7506-8446-0.00002-4
  5. Donald S. Dugdale (1960). "Yielding of steel sheets containing slits". Journal of the Mechanics and Physics of Solids. 8 (2): 100–104. Bibcode:1960JMPSo...8..100D. doi:10.1016/0022-5096(60)90013-2.
  6. G.I. Barenblatt (1962). The mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics. 7. pp. 55–129. doi:10.1016/S0065-2156(08)70121-2. ISBN 9780120020072.

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Cohesive zone fracture model with tractions at crack tips

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29 September 2020

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bf74eb3d045bab221813a58af59e73009499c30e

82,518 byte

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1,052 pixel

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current23:05, 29 September 2020Thumbnail for version as of 23:05, 29 September 20201,052 × 808 (81 KB)Bob ClemintimeUploaded own work with UploadWizard

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