We propose a method of construction of non homogeneous solutions to the problem of traction ofa bar made of an elastic-damaging material whose softening behavior is regularized by a gradient damage model.We show that, for sufficiently long bars, localization arises on sets whose length is proportional to the materialinternal length and with a profile which is also characteristic of the material. The rupture of the bar occurs at thecenter of the localization zone when the damage reaches there the critical value corresponding to the loss ofrigidity of the material. The dissipated energy during all the damage process up to rupture is a quantity c G whichcan be expressed in terms of the material parameters. Accordingly, c G can be considered as the usual surfaceenergy density appearing in the Griffith theory of brittle fracture. All these theoretical considerations areillustrated by numerical examples.
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How to cite
APA
Pham, K., & Marigo, J.-J. (2011). Damage localization and rupture with gradient damage models. Fracture and Structural Integrity, 6(19). https://doi.org/10.3221/IGF-ESIS.19.01
IEEE
K. Pham and J.-J. Marigo, “Damage localization and rupture with gradient damage models,” Fracture and Structural Integrity, vol. 6, no. 19, 2011, doi: 10.3221/IGF-ESIS.19.01.
MLA
Pham, K., and J.-J. Marigo. “Damage localization and rupture with gradient damage models.” Fracture and Structural Integrity, vol. 6, no. 19, 2011. https://doi.org/10.3221/IGF-ESIS.19.01.
Chicago
Pham, K., and J.-J. Marigo. 2011. “Damage localization and rupture with gradient damage models.” Fracture and Structural Integrity 6 (19). https://doi.org/10.3221/IGF-ESIS.19.01.
Harvard
Pham, K. and Marigo, J.J. (2011) ‘Damage localization and rupture with gradient damage models’, Fracture and Structural Integrity, 6(19). doi: 10.3221/IGF-ESIS.19.01.
Vancouver
Pham K, Marigo JJ. Damage localization and rupture with gradient damage models. Fracture and Structural Integrity. 2011;6(19). doi:10.3221/IGF-ESIS.19.01
BibTeX
@article{pham2011,
author = {Pham, K. and Marigo, J.-J.},
title = {Damage localization and rupture with gradient damage models},
journal = {Fracture and Structural Integrity},
year = {2011},
volume = {6},
number = {19},
doi = {10.3221/IGF-ESIS.19.01},
url = {https://doi.org/10.3221/IGF-ESIS.19.01},
issn = {1971-8993}
}
RIS
TY - JOUR
AU - Pham, K.
AU - Marigo, J.-J.
TI - Damage localization and rupture with gradient damage models
JO - Fracture and Structural Integrity
T2 - Fracture and Structural Integrity
PY - 2011
DA - 2011/12/20
VL - 6
IS - 19
DO - 10.3221/IGF-ESIS.19.01
UR - https://doi.org/10.3221/IGF-ESIS.19.01
SN - 1971-8993
ER -
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