Open Access
Issue
MATEC Web Conf.
Volume 414, 2025
9th Scientific and Technical Days in Mechanics and Materials: Innovative Materials and Processes for Industrial and Biomedical Applications (JSTMM 2024)
Article Number 04004
Number of page(s) 8
Section Mechanical Design, Modeling & Manufacturing Processes
DOI https://doi.org/10.1051/matecconf/202541404004
Published online 02 October 2025
  1. R. I. Stephens, A. Fatemi, R. R. Stephens, and H. O. Fuchs, Metal fatigue in engineering. John Wiley & Sons, 2000. [Google Scholar]
  2. A. A. Griffith, “Vi. the phenomena of rupture and flow in solids,” Philosophical transactions of the royal society of london. Series A, containing papers of a mathematical or physical character, vol. 221, no. 582–593, pp. 163–198, 1921. [Google Scholar]
  3. G. A. Francfort and J.-J. Marigo, “Revisiting brittle fracture as an energy minimization problem,” Journal of the Mechanics and Physics of Solids, vol. 46, no. 8, pp. 1319–1342, 1998. [NASA ADS] [CrossRef] [Google Scholar]
  4. B. Bourdin, G. A. Francfort, and J.-J. Marigo, “Numerical experiments in revisited brittle fracture,” Journal of the Mechanics and Physics of Solids, vol. 48, no. 4, pp. 797–826, 2000. [CrossRef] [Google Scholar]
  5. M. J. Borden, “Isogeometric analysis of phase-field models for dynamic brittle and ductile fracture,” 2012. [Google Scholar]
  6. T. T. Nguyen, J. Yvonnet, Q.-Z. Zhu, M. Bornert, and C. Chateau, “A phase field method to simulate crack nucleation and propagation in strongly heterogeneous materials from direct imaging of their microstructure,” Engineering Fracture Mechanics, vol. 139, pp. 18–39, 2015. [Google Scholar]
  7. J. Vignollet, S. May, R. De Borst, and C. V. Verhoosel, “Phase-field models for brittle and cohesive fracture,” Meccanica, vol. 49, pp. 2587–2601, 2014. [Google Scholar]
  8. J. Reinoso, M. Paggi, and C. Linder, “Phase field modeling of brittle fracture for enhanced assumed strain shells at large deformations: formulation and finite element implementation,” Computational Mechanics, vol. 59, pp. 981–1001, 2017. [Google Scholar]
  9. J.-Y. Wu and Y. Huang, “Comprehensive implementations of phase-field damage models in abaqus,” Theoretical and Applied Fracture Mechanics, vol. 106, p. 102440, 2020. [Google Scholar]
  10. M. Ambati, T. Gerasimov, and L. De Lorenzis, “Phase-field modeling of ductile fracture,” Computational Mechanics, vol. 55, pp. 1017–1040, 2015. [Google Scholar]
  11. M. J. Borden, T. J. Hughes, C. M. Landis, A. Anvari, and I. J. Lee, “Phase-field formulation for ductile fracture,” Advances in computational plasticity: A book in honour of D. Roger J. Owen, pp. 45–70, 2018. [Google Scholar]
  12. S. Zhang, K. Zhang, K. Li, and H. Ye, “Prediction of ductile fracture on 6016-t4 aluminum alloy sheet metal forming considering anisotropic plasticity,” Journal of the Brazilian Society of Mechanical Sciences and Engineering, vol. 42, pp. 1–22, 2020. [CrossRef] [Google Scholar]
  13. R. Alessi, S. Vidoli, and L. De Lorenzis, “A phenomenological approach to fatigue with a variational phase-field model: The one-dimensional case,” Engineering fracture mechanics, vol. 190, pp. 53–73, 2018. [Google Scholar]
  14. P. Carrara, M. Ambati, R. Alessi, and L. De Lorenzis, “A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach,” Computer Methods in Applied Mechanics and Engineering, vol. 361, p. 112731, 2020. [Google Scholar]
  15. P. K. Kristensen and E. Mart´ınez-Pan˜eda, “Phase field fracture modelling using quasi-newton methods and a new adaptive step scheme,” Theoretical and Applied Fracture Mechanics, vol. 107, p. 102446, 2020. [Google Scholar]
  16. Z. Khalil, A. Y. Elghazouli, and E. Martinez-Paneda, “A generalised phase field model for fatigue crack growth in elastic–plastic solids with an efficient monolithic solver,” Computer Methods in Applied Mechanics and Engineering, vol. 388, p. 114286, 2022. [Google Scholar]
  17. M. Simoes and E. Martinez-Paneda, “Phase field modelling of fracture and fatigue in shape memory alloys,” Computer Methods in Applied Mechanics and Engineering, vol. 373, p. 113504, 2021. [Google Scholar]
  18. A. Golahmar, C. F. Niordson, and E. Mart´ınez-Pan˜eda, “A phase field model for high-cycle fatigue: Totallife analysis,” International Journal of Fatigue, vol. 170, p. 107558, 2023. [Google Scholar]
  19. P. Krolo, D. Grandi´c, and Zˇ. Smolˇci´c, “Experimental and numerical study of mild steel behaviour under cyclic loading with variable strain ranges,” Advances in materials science and engineering, vol. 2016, pp. 1–13, 2016. [Google Scholar]
  20. S. J. Venture et al., “Protocol for fabrication, inspection, testing, and documentation of beam-column connection tests and other experimental specimens,” Rep. No. SAC/BD-97, vol. 2, 1997. [Google Scholar]
  21. L. Ambrosio and V. M. Tortorelli, “Approximation of functional depending on jumps by elliptic functional via t-convergence,” Communications on Pure and Applied Mathematics, vol. 43, no. 8, pp. 999–1036, 1990. [Google Scholar]
  22. J. Chaboche, “Modeling of ratchetting: evaluation of various approaches,” European journal of mechanics. A. Solids, vol. 13, no. 4, pp. 501–518, 1994. [Google Scholar]
  23. P. J. Armstrong, C. O. Frederick, et al., A mathematical representation of the multiaxial Bauschinger effect, vol. 731. Berkeley Nuclear Laboratories Berkeley, CA, 1966. [Google Scholar]
  24. J. Chaboche, “On some modifications of kinematic hardening to improve the description of ratchetting effects,” International journal of plasticity, vol. 7, no. 7, pp. 661–678, 1991. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.