Title	A variational phase-field approach to fatigue in brittle materials
Creator	Carrara, Pietro
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-03-04T15:14
Description	A novel variational framework to model the fatigue behavior of brittle materials based on a phase-field approach to fracture is presented. The standard regularized free energy functional is modified introducing a fatigue degradation function that effectively reduces the fracture toughness as a proper history variable accumulates. This macroscopic approach allows to reproduce the main known features of fatigue crack growth in brittle materials. Numerical experiments show that the WÃ¶hler curve, the crack growth rate curve and the Paris law are naturally recovered, while the approximate Palmgren-Miner criterion and the monotonic loading condition are obtained as special cases.
Extent	26.0 minutes
Subject	Mathematics; Mechanics of deformable solids; Calculus of variations and optimal control; optimization; Applied mathematics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: TU Braunschweig
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-09-01
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0380758
URI	http://hdl.handle.net/2429/71573
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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A variational phase-field approach to fatigue in brittle materials Carrara, Pietro

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