Impact of Fracture in Geometrical, Material, and Load Rate Characteristics on J-Integral

Year : 2026 | Volume : 04 | Issue : 01 | Page : 38 45
    By

    Piyush Goyal,

  • Hridyanshu,

  1. Research Scholar, Department of Mechanical Engineering, Echelon Institute of Technology, Faridabad, Haryana, India
  2. Research Scholar, Department of Mechanical Engineering, Echelon Institute of Technology, Faridabad, Haryana, India

Abstract

The present study investigates the influence of load rate, geometrical parameters, and material properties on the J-integral behavior of AA2050-T84 aluminum-lithium alloy using three-dimensional elastic–plastic fracture mechanics (EPFM) analysis. Finite element simulations were carried out using the ABAQUS software to evaluate crack driving forces in compact tension (C(T)) specimens under various mechanical and thermal conditions. The study focuses on the combined effects of strain rate, temperature-dependent strain hardening, specimen thickness (B/W ratio), and material anisotropy on J-integral variation along the crack front. A multilinear kinematic hardening material model derived from true stress–strain data was employed to accurately represent plastic deformation behavior. The numerical results were validated through comparison with experimental load versus crack mouth opening displacement (CMOD) curves, confirming the reliability of the developed model. The analysis revealed that the J-integral reaches its maximum value at the crack front center due to crack tunneling effects. Although strain rate showed a positive dependency on J-integral, its influence remained minimal within quasi-static ranges. The results also indicated that J-integral increases with increasing strain hardening ratio and decreases with increasing specimen thickness due to higher constraint effects. Furthermore, anisotropy significantly affected fracture behavior depending on plate orientation and location. These findings provide valuable insights into fracture characterization and structural reliability of Al-Li alloy components used in aerospace structures.

Keywords: J-integral, elastic–plastic fracture mechanics (EPFM), AA2050-T84 alloy, finite element analysis, ABAQUS simulation

[This article belongs to International Journal of Fracture Mechanics and Damage Science ]

How to cite this article:
Piyush Goyal, Hridyanshu. Impact of Fracture in Geometrical, Material, and Load Rate Characteristics on J-Integral. International Journal of Fracture Mechanics and Damage Science. 2026; 04(01):38-45.
How to cite this URL:
Piyush Goyal, Hridyanshu. Impact of Fracture in Geometrical, Material, and Load Rate Characteristics on J-Integral. International Journal of Fracture Mechanics and Damage Science. 2026; 04(01):38-45. Available from: https://journals.stmjournals.com/ijfmds/article=2026/view=244675


References

  1. R. Rice, “A path independent integral and the approximate analysis of strain concentration by notches and cracks,” Journal of Applied Mechanics, vol. 35, no. 2, pp. 379–386, 1968.
  2. R. Rice and G. F. Rosengren, “Plane strain deformation near a crack tip in a power-law hardening material,” Journal of the Mechanics and Physics of Solids, vol. 16, no. 1, pp. 1–12, 1968.
  3. F. Shih, “Relationships between the J-integral and the crack opening displacement for stationary and extending cracks,” Journal of the Mechanics and Physics of Solids, vol. 29, no. 4, pp. 305–326, 1981.
  4. ISO 12135, Metallic Materials — Unified Method of Test for the Determination of Quasi-Static Fracture Toughness, International Organization for Standardization, Geneva, Switzerland, 2016.
  5. ASTM E1820-20a, Standard Test Method for Measurement of Fracture Toughness, ASTM International, West Conshohocken, PA, USA, 2020.
  6. C. Zienkiewicz and R. L. Taylor, The Finite Element Method: Its Basis and Fundamentals, 7th ed. Oxford, U.K.: Butterworth-Heinemann, 2013.
  7. ABAQUS Documentation, ABAQUS Analysis User’s Manual, Version 6.14, Dassault Systèmes Simulia Corp., Providence, RI, USA, 2014.
  8. W. Hutchinson, “Singular behaviour at the end of a tensile crack in a hardening material,” Journal of the Mechanics and Physics of Solids, vol. 16, no. 1, pp. 13–31, 1968.
  9. F. Kanninen and C. H. Popelar, Advanced Fracture Mechanics. New York, NY, USA: Oxford University Press, 1985.
  10. D. Landes and J. A. Begley, “A fracture mechanics approach to creep crack growth,” Mechanics of Crack Growth, ASTM STP 590, pp. 128–148, 1976.
  11. Saxena, Nonlinear Fracture Mechanics for Engineers. Boca Raton, FL, USA: CRC Press, 1998.
  12. L. Anderson, Fracture Mechanics: Fundamentals and Applications, 4th ed. Boca Raton, FL, USA: CRC Press, 2017.
  13. C. Newman and I. S. Raju, “Stress-intensity factor equations for cracks in three-dimensional finite bodies,” Engineering Fracture Mechanics, vol. 15, no. 1–2, pp. 185–192, 1981.
  14. L. Williams, “On the stress distribution at the base of a stationary crack,” Journal of Applied Mechanics, vol. 24, no. 1, pp. 109–114, 1957.

Regular Issue Subscription Review Article
Volume 04
Issue 01
Received 25/03/2026
Accepted 26/03/2026
Published 07/04/2026
Publication Time 13 Days


Login


My IP

PlumX Metrics