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BriCoFra SIGNED

New ideas for the Variational Approach to Brittle and Cohesive Fracture

Total Cost €

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EC-Contrib. €

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Partnership

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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.

explore 90 dangerous extremely describe engineer length 2d restorative english evolutions quasistatic mechanics idea existence during stored viewpoint 1998 energy broken aeronautical normal cohesive amplitude first marigo competition prove evident alternative microscopically apparently found griffith theory formulated barenblatt spent degrades loading point rigorous occurrences uncracked fracture opening combination depending action depends remarkably latter formulation sound unloading provides innovative world differ fatigue dissipation mechanical variational crack forces responsible treatment surface framework war despite post dissipated region sides setting brittle nature mathematical 3d difficult happens either material theories warnings evolution occurs repeated materials proportional lips nevertheless predict francfort choices

Project "BriCoFra" data sheet

The following table provides information about the project.

Coordinator	ECOLE POLYTECHNIQUE Organization address address: ROUTE DE SACLAY city: PALAISEAU CEDEX postcode: 91128 website: http://www.polytechnique.fr 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

Partnership

Take a look of project's partnership.

#	participants	country	role	EC contrib. [€]
1	ECOLE POLYTECHNIQUE ECOLE POLYTECHNIQUE Organization address address: ROUTE DE SACLAY city: PALAISEAU CEDEX postcode: 91128 website: http://www.polytechnique.fr contact info title: n.a. name: n.a. surname: n.a. function: n.a. email: n.a. telephone: n.a. fax: n.a.	FR (PALAISEAU CEDEX)	coordinator	173˙076.00

Map

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.

Publications

List of publications.
year	authors and title	journal	last update
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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