Variational Approach to Dynamic Brittle Fracture via Gradient Damage Models

Abstract : In this paper we present a family of gradient-enhanced continuum damage models which can be viewed as a regularization of the variational approach to fracture capable of predicting in a unified framework the onset and space-time dynamic propagation (growth, kinking, branching, arrest) of complex cracks in quasi-brittle materials under severe dynamic loading. The dynamic evolution problem for a general class of such damage models is formulated as a variational inequality involving the action integral of a generalized Lagrangian and its physical interpretation is given. Finite-element based implementation is then detailed and mathematical optimization methods are directly used at the structural scale exploiting fully the variational nature of the formulation. Finally, the link with the classical dynamic Griffith theory and with the original quasi-static model as well as various dynamic fracture phenomena are illustrated by representative numerical examples in quantitative accordance with theoretical or experimental results.
Complete list of metadatas

Cited literature [26 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01225237
Contributor : Tianyi Li <>
Submitted on : Tuesday, December 29, 2015 - 9:39:23 PM
Last modification on : Monday, August 12, 2019 - 1:32:02 PM

File

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

Identifiers

Citation

Tianyi Li, Jean-Jacques Marigo, Daniel Guilbaud, Serguei Potapov. Variational Approach to Dynamic Brittle Fracture via Gradient Damage Models. Applied Mechanics and Materials, Trans Tech Publications, 2015, Damage Mechanics: Theory, Computation and Practice, 784, pp. 334-341. ⟨10.4028/www.scientific.net/AMM.784.334 ⟩. ⟨hal-01225237v2⟩

Share

Metrics

Record views

890

Files downloads

666