@article{broberg2006,
	Abstract = {Although mode I and mode II crack propagation show many
similarities, in particular
when analysed by linear elastic fracture mechanics, they differ
significantly in the
micro-structural behaviour. These differences, which are clearly
noticeable in the fracture surface
morphology, lead to fundamental differences in the macroscopic
behaviour. Thus, mode II crack
expansion under remote loading, appears to obey micro-structural scaling
laws, implying that the
dimensions of the process region stay essentially constant during crack
expansion, rather than
increasing with crack length. Therefore, expanding mode II cracks can
almost reach the Rayleigh
velocity, and actually also intersonic velocities. An expanding mode I
crack, on the other hand,
seems to obey continuum scaling laws, implying that the dimensions of
the process region increase in
proportion to crack length, leading to self-similar crack expansion at a
velocity significantly
below the Rayleigh speed and dependent on the remote load.},
	Author = {Broberg, K. B.},
	Date-Modified = {2010-07-14 12:37:05 -0700},
	Issue = {9},
	Journal = {Pure Appl. Geophys.},
	Month = {Sep},
	Pages = {1867--1879},
	Title = {Differences between mode I and mode II crack propagation},
	Volume = {163},
	Year = {2006},
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{"_id":"R4Je6GAM64kxqsdqG","bibbaseid":"broberg-differencesbetweenmodeiandmodeiicrackpropagation-2006","downloads":0,"creationDate":"2017-07-12T15:38:36.292Z","title":"Differences between mode I and mode II crack propagation","author_short":["Broberg, K. B."],"year":2006,"bibtype":"article","biburl":"https://dl.dropboxusercontent.com/u/564501919/CollectedPapers/MasterBibliography.bib","bibdata":{"bibtype":"article","type":"article","abstract":"Although mode I and mode II crack propagation show many similarities, in particular when analysed by linear elastic fracture mechanics, they differ significantly in the micro-structural behaviour. These differences, which are clearly noticeable in the fracture surface morphology, lead to fundamental differences in the macroscopic behaviour. Thus, mode II crack expansion under remote loading, appears to obey micro-structural scaling laws, implying that the dimensions of the process region stay essentially constant during crack expansion, rather than increasing with crack length. Therefore, expanding mode II cracks can almost reach the Rayleigh velocity, and actually also intersonic velocities. An expanding mode I crack, on the other hand, seems to obey continuum scaling laws, implying that the dimensions of the process region increase in proportion to crack length, leading to self-similar crack expansion at a velocity significantly below the Rayleigh speed and dependent on the remote load.","author":[{"propositions":[],"lastnames":["Broberg"],"firstnames":["K.","B."],"suffixes":[]}],"date-modified":"2010-07-14 12:37:05 -0700","issue":"9","journal":"Pure Appl. Geophys.","month":"Sep","pages":"1867--1879","title":"Differences between mode I and mode II crack propagation","volume":"163","year":"2006","bdsk-file-1":"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","bibtex":"@article{broberg2006,\n\tAbstract = {Although mode I and mode II crack propagation show many\nsimilarities, in particular\nwhen analysed by linear elastic fracture mechanics, they differ\nsignificantly in the\nmicro-structural behaviour. These differences, which are clearly\nnoticeable in the fracture surface\nmorphology, lead to fundamental differences in the macroscopic\nbehaviour. Thus, mode II crack\nexpansion under remote loading, appears to obey micro-structural scaling\nlaws, implying that the\ndimensions of the process region stay essentially constant during crack\nexpansion, rather than\nincreasing with crack length. Therefore, expanding mode II cracks can\nalmost reach the Rayleigh\nvelocity, and actually also intersonic velocities. An expanding mode I\ncrack, on the other hand,\nseems to obey continuum scaling laws, implying that the dimensions of\nthe process region increase in\nproportion to crack length, leading to self-similar crack expansion at a\nvelocity significantly\nbelow the Rayleigh speed and dependent on the remote load.},\n\tAuthor = {Broberg, K. B.},\n\tDate-Modified = {2010-07-14 12:37:05 -0700},\n\tIssue = {9},\n\tJournal = {Pure Appl. Geophys.},\n\tMonth = {Sep},\n\tPages = {1867--1879},\n\tTitle = {Differences between mode I and mode II crack propagation},\n\tVolume = {163},\n\tYear = {2006},\n\tBdsk-File-1 = {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}}\n\n","author_short":["Broberg, K. 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