Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1708055 | Applied Mathematics Letters | 2013 | 6 Pages |
Abstract
We consider the quasi-static evolution of a straight crack within the recently developed phase-field approach and the classical sharp crack approach, and we show a strong correlation between the outcomes from the two approaches: the corresponding energies, minimizers, energy release rates and quasi-static evolutions converge as the internal length parameter of the phase-field model tends to zero. A crucial point in the proof is a novel representation of the energy release rate, which allows one to pass to the limit under weak convergence of the strains.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
M. Negri,