@article{kame2003a,
	Abstract = {We simulate spontaneous mode II crack propagation for
which the path is dynamically
self-chosen. Our main interests are in the formation of the branching
path under the influence of
self-radiating wave stresses, and in the resultant seismic wave
radiation. For these purposes, we
adopt the elastodynamic boundary integral equation method (BIEM), which
does not impose any
constraints on the crack path. We consider a crack subjected to biaxial
compression, on which
Coulomb friction acts and we determine the extension and the direction
of crack growth from a
critical shear stress criterion. Our analysis shows that the crack tip
bifurcates into two branches
at the high-speed propagation stage due to the stress wave localization
near the crack tip. Each of
the two branches is generated in compressive and tensile stress regions
around the propagating tip.
Under the same friction coefficient different normal stresses cause
different friction levels on
them and that results in increasing their bending angles asymmetrically.
If the angle of bending
exceeds a threshold under biaxial compression, the stress to be released
on the curved crack branch
becomes negative. Therefore, the growth of such branch is arrested after
increasing the bending
angle. We then synthesize its waveforms to find phases associated with
the dynamic branching. We
compare them with those emitted by two planar crack models for which the
growths are arrested by
inhomogeneities in the fracture strength or the prestress state: little
effect appeared from the
branching characteristics in the waveforms. This is because the curved
branches themselves make
little contribution to the wave radiation due to the negligible slip
velocity.},
	Author = {Kame, N. and Yamashita, T.},
	Issue = {3},
	Journal = {Geophys. J. Int.},
	Month = {Dec},
	Pages = {1042--1050},
	Title = {Dynamic branching, arresting of rupture and the seismic wave radiation in self-chosen crack path modelling},
	Volume = {155},
	Year = {2003},
	Bdsk-File-1 = {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}}

{"_id":"eJaqd8XRAJgzsX22x","bibbaseid":"kame-yamashita-dynamicbranchingarrestingofruptureandtheseismicwaveradiationinselfchosencrackpathmodelling-2003","downloads":0,"creationDate":"2017-07-12T15:38:36.425Z","title":"Dynamic branching, arresting of rupture and the seismic wave radiation in self-chosen crack path modelling","author_short":["Kame, N.","Yamashita, T."],"year":2003,"bibtype":"article","biburl":"https://dl.dropboxusercontent.com/u/564501919/CollectedPapers/MasterBibliography.bib","bibdata":{"bibtype":"article","type":"article","abstract":"We simulate spontaneous mode II crack propagation for which the path is dynamically self-chosen. Our main interests are in the formation of the branching path under the influence of self-radiating wave stresses, and in the resultant seismic wave radiation. For these purposes, we adopt the elastodynamic boundary integral equation method (BIEM), which does not impose any constraints on the crack path. We consider a crack subjected to biaxial compression, on which Coulomb friction acts and we determine the extension and the direction of crack growth from a critical shear stress criterion. Our analysis shows that the crack tip bifurcates into two branches at the high-speed propagation stage due to the stress wave localization near the crack tip. Each of the two branches is generated in compressive and tensile stress regions around the propagating tip. Under the same friction coefficient different normal stresses cause different friction levels on them and that results in increasing their bending angles asymmetrically. If the angle of bending exceeds a threshold under biaxial compression, the stress to be released on the curved crack branch becomes negative. Therefore, the growth of such branch is arrested after increasing the bending angle. We then synthesize its waveforms to find phases associated with the dynamic branching. We compare them with those emitted by two planar crack models for which the growths are arrested by inhomogeneities in the fracture strength or the prestress state: little effect appeared from the branching characteristics in the waveforms. This is because the curved branches themselves make little contribution to the wave radiation due to the negligible slip velocity.","author":[{"propositions":[],"lastnames":["Kame"],"firstnames":["N."],"suffixes":[]},{"propositions":[],"lastnames":["Yamashita"],"firstnames":["T."],"suffixes":[]}],"issue":"3","journal":"Geophys. J. Int.","month":"Dec","pages":"1042--1050","title":"Dynamic branching, arresting of rupture and the seismic wave radiation in self-chosen crack path modelling","volume":"155","year":"2003","bdsk-file-1":"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","bibtex":"@article{kame2003a,\n\tAbstract = {We simulate spontaneous mode II crack propagation for\nwhich the path is dynamically\nself-chosen. Our main interests are in the formation of the branching\npath under the influence of\nself-radiating wave stresses, and in the resultant seismic wave\nradiation. For these purposes, we\nadopt the elastodynamic boundary integral equation method (BIEM), which\ndoes not impose any\nconstraints on the crack path. We consider a crack subjected to biaxial\ncompression, on which\nCoulomb friction acts and we determine the extension and the direction\nof crack growth from a\ncritical shear stress criterion. Our analysis shows that the crack tip\nbifurcates into two branches\nat the high-speed propagation stage due to the stress wave localization\nnear the crack tip. Each of\nthe two branches is generated in compressive and tensile stress regions\naround the propagating tip.\nUnder the same friction coefficient different normal stresses cause\ndifferent friction levels on\nthem and that results in increasing their bending angles asymmetrically.\nIf the angle of bending\nexceeds a threshold under biaxial compression, the stress to be released\non the curved crack branch\nbecomes negative. Therefore, the growth of such branch is arrested after\nincreasing the bending\nangle. We then synthesize its waveforms to find phases associated with\nthe dynamic branching. We\ncompare them with those emitted by two planar crack models for which the\ngrowths are arrested by\ninhomogeneities in the fracture strength or the prestress state: little\neffect appeared from the\nbranching characteristics in the waveforms. This is because the curved\nbranches themselves make\nlittle contribution to the wave radiation due to the negligible slip\nvelocity.},\n\tAuthor = {Kame, N. and Yamashita, T.},\n\tIssue = {3},\n\tJournal = {Geophys. J. Int.},\n\tMonth = {Dec},\n\tPages = {1042--1050},\n\tTitle = {Dynamic branching, arresting of rupture and the seismic wave radiation in self-chosen crack path modelling},\n\tVolume = {155},\n\tYear = {2003},\n\tBdsk-File-1 = {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}}\n\n","author_short":["Kame, N.","Yamashita, T."],"key":"kame2003a","id":"kame2003a","bibbaseid":"kame-yamashita-dynamicbranchingarrestingofruptureandtheseismicwaveradiationinselfchosencrackpathmodelling-2003","role":"author","urls":{},"downloads":0,"html":""},"search_terms":["dynamic","branching","arresting","rupture","seismic","wave","radiation","self","chosen","crack","path","modelling","kame","yamashita"],"keywords":[],"authorIDs":[],"dataSources":["PNGDXNYHvWreEEzYY"]}