A simple model of dynamic cleavage producing constant speed crack propagation in a sample of finite width
File(s)cleave.pdf (306.73 KB)
Published version
Author(s)
Atkinson, C
Type
Journal Article
Abstract
A simple model of dynamic cleavage under longitudinal shear deformation is analyzed as an attempt to understand how ancient lapidaries might have produced smooth cleaved surfaces. Attention is concentrated on the time signature of the load applied to the specimen in order to maintain a constant stress intensity factor (or energy release rate) at the crack tip as it propagates away from the location of the applied load at a constant speed. The analysis is also applicable to situations in which fracture requires a time dependent energy release rate. An example of the cleavage of diamond is considered.
Date Issued
2016-07-21
Date Acceptance
2016-05-03
Citation
SIAM Journal on Applied Mathematics, 2016, 76 (4), pp.1344-1354
ISSN
0036-1399
Publisher
Society for Industrial and Applied Mathematics
Start Page
1344
End Page
1354
Journal / Book Title
SIAM Journal on Applied Mathematics
Volume
76
Issue
4
Copyright Statement
© 2016, Society for Industrial and Applied Mathematics
Subjects
Applied Mathematics
0102 Applied Mathematics
Publication Status
Published