Cracking Cohesive Law Thermodynamically Equivalent to a Non-Local Damage Model

Fabien Cazes; Anita Simatos; Michel Coret; Alain Combescure; Anthony Gravouil

doi:10.4028/www.scientific.net/KEM.385-387.81

Paper Titles

Computational Program for Non-Equilibrium Grain Boundary Segregation Kinetics
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Crack Development in Concrete, Part 2: Modelling of Fracture Process
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The Rationale of Adhesive Postinstalled Method to Estimate the Concrete Strength
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Cracking Cohesive Law Thermodynamically Equivalent to a Non-Local Damage Model
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Crushing Behaviour of CFRP Composite Structure
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Crack Spacing and the Flow Stress in NiTi Thin Films Deposited on Cu Substrate
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Crack Width of SRC Members Based on Fracture Mechanics
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Damage Analysis of the SRHSHPC Frame Columns under Low Cyclic Reversed Horizontal Loading
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HomeKey Engineering MaterialsKey Engineering Materials Vols. 385-387Cracking Cohesive Law Thermodynamically Equivalent...

Cracking Cohesive Law Thermodynamically Equivalent to a Non-Local Damage Model

Abstract:

This paper deals with the transition from a localized damage state to crack formation. Several attempts have already been made in this field. Our approach is in the continuity of studies where thermodynamic considerations lead to the definition of an equivalent crack concept. The main idea consists in replacing a damaged localized zone by a crack in order to recover the same amount of dissipated energy. On the one hand, a nonlocal model is used to modelize accurately localized damage. On the other hand, an elastic model which authorizes the formation of a crack described by a cohesive zone model is used. This cohesive zone model is defined thermodynamically in order to be in concordance with the damage model. The method allows obtaining the cohesive zone model traction curve from the knowledge of the nonlocal damage model solution. The numerical implementation is done using a Lagrangian multiplier that ensures the energetic equivalence between both models.

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Periodical:

Key Engineering Materials (Volumes 385-387)

Pages:

81-84

DOI:

https://doi.org/10.4028/www.scientific.net/KEM.385-387.81

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Online since:

July 2008

Authors:

Fabien Cazes, Anita Simatos, Michel Coret, Alain Combescure, Anthony Gravouil

Keywords:

Cohesive Crack, Damage, Energetic Balance, Non-Local Model

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References

[1] J. Mazars: Application de la mécanique de l'endommagement au comportement non-linéaire et à la rupture du béton de structure, PhD thesis, ENSET (1984).

DOI: 10.1051/978-2-7598-0239-5-012

Google Scholar

[2] J. Mazars and G. Pijaudier-Cabot: International Journal of Solids and Structures, Vol. 33, Num. 20-22 (1996), pp.3327-3342.

DOI: 10.1016/0020-7683(96)00015-7

Google Scholar

[3] Gurtin, M.: Zeitschrift für Angewandte Mathematik und Physik (ZAMP), Vol. 30, Num. 6 (1979), pp.991-1003.

DOI: 10.1007/bf01590496

Google Scholar

[4] Planas, J., Elices, M., Guinea, G.: International Journal of Fracture, Vol. 63, Num. 2 (1993), pp.173-187.

Google Scholar

[5] A. Hillerborg, M. Modéer and PE. Petersson: Cement and Concrete Research, Vol. 6 (1976), pp.773-782.

Google Scholar