Skip to Main content Skip to Navigation
New interface
Journal articles

Stress gradient effects on the nucleation and propagation of cohesive cracks

Abstract : The aim of the present work is to study the nucleation and propagation of cohesive cracks in two-dimensional elastic structures. The crack evolution is governed by Dugdale’s cohesive force model. Specifically, we investigate the stabilizing effect of the stress field non-uniformity by introducing a length l which characterizes the stress gradient in a neighborhood of the point where the crack nucleates. We distinguish two stages in the crack evolution: the first one where the entire crack is submitted to cohesive forces, followed by a second one where a non-cohesive part appears. Assuming that the material characteristic length dc associated with Dugdale’s model is small in comparison with the dimension L of the body, we develop a two-scale approach and, using the methods of complex analysis, obtain the entire crack evolution with the loading in closed form. In particular, we show that the propagation is stable during the first stage, but becomes unstable with a brutal crack length jump as soon as the non-cohesive crack part appears. We also discuss the influence of the problem parameters and study the sensitivity to imperfections.
Complete list of metadata

Cited literature [29 references]  Display  Hide  Download

https://hal-polytechnique.archives-ouvertes.fr/hal-01345476
Contributor : Tuan Hiep Pham Connect in order to contact the contributor
Submitted on : Monday, July 18, 2016 - 3:49:38 PM
Last modification on : Saturday, October 22, 2022 - 4:55:56 AM

File

15-Hiep_JJM.pdf
Files produced by the author(s)

Identifiers

Citation

Tuan Hiep Pham, Jérôme Laverne, Jean-Jacques Marigo. Stress gradient effects on the nucleation and propagation of cohesive cracks. Discrete and Continuous Dynamical Systems - Series S, 2016, 9 (2), pp.557 - 584. ⟨10.3934/dcdss.2016012⟩. ⟨hal-01345476⟩

Share

Metrics

Record views

357

Files downloads

271