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A Simple Model of Dynamic Cleavage Producing Constant Speed Crack Propagation in a Sample of Finite Width
Author(s) -
C. Atkinson
Publication year - 2016
Publication title -
siam journal on applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.954
H-Index - 99
eISSN - 1095-712X
pISSN - 0036-1399
DOI - 10.1137/15m104298x
Subject(s) - cleavage (geology) , constant (computer programming) , fracture mechanics , shear (geology) , mechanics , materials science , deformation (meteorology) , stress intensity factor , fracture (geology) , composite material , physics , computer science , programming language
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

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