Opendata, web and dolomites


New ideas for the Variational Approach to Brittle and Cohesive Fracture

Total Cost €


EC-Contrib. €






 BriCoFra project word cloud

Explore the words cloud of the BriCoFra project. It provides you a very rough idea of what is the project "BriCoFra" about.

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Project "BriCoFra" data sheet

The following table provides information about the project.


Organization address
postcode: 91128

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country France [FR]
 Total cost 173˙076 €
 EC max contribution 173˙076 € (100%)
 Programme 1. H2020-EU.1.3.2. (Nurturing excellence by means of cross-border and cross-sector mobility)
 Code Call H2020-MSCA-IF-2017
 Funding Scheme MSCA-IF-EF-ST
 Starting year 2018
 Duration (year-month-day) from 2018-10-01   to  2020-09-30


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 
1    ECOLE POLYTECHNIQUE FR (PALAISEAU CEDEX) coordinator 173˙076.00


 Project objective

During World War I the English aeronautical engineer A.A. Griffith formulated a theory to explain failure of materials, based on the idea that crack growth is the result of the competition between the surface energy spent to produce the fracture and the energy stored in the uncracked region.

Griffith's viewpoint, that by its own nature is variational, found a rigorous mathematical setting in the variational formulation for quasistatic evolutions by Francfort and Marigo, in 1998. Remarkably, this work provides a general framework for several problems in Fracture Mechanics, including post-Griffith theories, in particular the one due to Barenblatt. Griffith and Barenblatt theories differ in the surface energy dissipated in the fracture process: the first is proportional to the measure of fracture set (surface in 3d, length in 2d), the latter depends also on the amplitude of the opening between the two sides of the crack. Microscopically, in the first case (brittle fracture) any material point is either broken or sound, in the latter (cohesive fracture) restorative forces, depending on the opening, are present between the lips of the crack set. Particular choices of cohesive dissipation in the evolution may describe fracture by fatigue.

Fatigue occurs when a material degrades by repeated loading and unloading. Fracture by fatigue is extremely dangerous and difficult to predict, since it happens in normal operating conditions without evident warnings. Moreover, it is responsible of about the 90% of failure occurrences. Despite its importance, both the mathematical and the mechanical treatment of fatigue by fracture are much less general than those for brittle fracture.

Nevertheless, even the existence of quasistatic evolutions for 3d brittle fracture is still an open problem. This action aims both to prove such existence result with an innovative combination of two apparently alternative approaches, and to explore the rich field of fracture by fatigue.


year authors and title journal last update
List of publications.
2019 Antonin Chambolle, Vito Crismale
A Density Result in GSBDp with Applications to the Approximation of Brittle Fracture Energies
published pages: 1329-1378, ISSN: 0003-9527, DOI: 10.1007/s00205-018-01344-7
Archive for Rational Mechanics and Analysis 232/3 2019-05-08

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