Title	A maximal dissipation condition for dynamic fracture: an existence result in a constrained case.
Creator	Dal Maso, Gianni
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-05-09T14:02
Description	The study of dynamic fracture is based on the dynamic energy-dissipation balance. It is easy to see that this condition is always satisfied by a stationary crack together with a displacement satisfying the system of elastodynamics. Therefore to predict crack growth a further principle is needed. In this talk we introduce a maximal dissipation condition that, together with elastodynamics and energy balance, provides a model for dynamic fracture, at least within a certain class of possible crack evolutions. In particular, we prove the existence of dynamic fracture evolutions satisfying this condition, subject to smoothness constraints, and exhibit an example to show that maximal dissipation can indeed rule out stationary cracks.
Extent	60 minutes
Subject	Mathematics; Mechanics of deformable solids; Calculus of variations and optimal control; optimization; Material science
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: SISSA
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2017-02-09
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0320944
URI	http://hdl.handle.net/2429/59668
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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A maximal dissipation condition for dynamic fracture: an existence result in a constrained case. Dal Maso, Gianni

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