DOI: 10.1029/jb084ib05p02199. The mechanics of dynamic shear crack propagation

The mechanics of dynamic shear crack propagation

10.1029/jb084ib05p02199

Crossref journal-article

American Geophysical Union (AGU)

Journal of Geophysical Research: Solid Earth (13)

Abstract

A recent trend in seismology has been to model the earthquake source as a dynamically extending shear crack, and several basic concepts which seem to be important in this modeling process are examined. First, the universal spatial dependence of the plane elastodynamic stress and velocity fields near a sharp propagating crack tip is demonstrated for both subsonic and transsonic crack speeds, and the corresponding energy release rates are considered. Next, a class of steady state shear crack propagation problems is analyzed, based on both a direct stress analysis approach and an energy integral approach which obviates the need for a complete stress analysis in some cases. Several distinct stress differences which correspond to some of the common definitions of stress drop are involved in the analysis of these simple problems. Finally, some analytical considerations are presented which are relevant to rupture velocity determination for transient shear crack growth according to various fracture criteria, such as the critical stress intensity factor criterion, the critical energy release rate criterion, and the critical stress level criterion. Possible effects of spatially nonuniform stress drop and frictional resistance on rupture propagation are also discussed.

Bibliography

Freund, L. B. (1979). The mechanics of dynamic shear crack propagation. Journal of Geophysical Research: Solid Earth, 84(B5), 2199â2209. Portico.

Authors 1

L. B. Freund (first)

References 35 Referenced 234

10.1029/JB081i020p03575
10.1029/JB081i032p05679
10.1007/BF00189137
10.1016/0021-8928(62)90076-X
10.1785/BSSA0636-12105 / Bull. Seismol. Soc. Amer. / Earthquake modeling by stick‐slip along pre‐cut surfaces in stressed foam rubber by Brune J. N. (1973)
10.1111/j.1365-246X.1973.tb00608.x
10.1111/j.1365-246X.1971.tb02339.x
10.1080/14786436708222774
10.1111/j.1365-246X.1977.tb01339.x
10.1016/0022-5096(60)90013-2
10.1029/JB080i023p03343
10.1007/BF00045718
{'key': 'e_1_2_1_14_1', 'first-page': '105', 'volume-title': 'The Mechanics of Fracture', 'author': 'Freund L. B.', 'year': '1976'} / The Mechanics of Fracture by Freund L. B. (1976)
10.1007/BF00048612
{'key': 'e_1_2_1_16_1', 'first-page': '1173', 'article-title': 'Rupture velocity and radiation efficiency', 'volume': '66', 'author': 'Husseini M. I.', 'year': '1976', 'journal-title': 'Bull. Seismol. Soc. Amer.'} / Bull. Seismol. Soc. Amer. / Rupture velocity and radiation efficiency by Husseini M. I. (1976)
10.1111/j.1365-246X.1975.tb00640.x
10.1029/JB077i020p03796
10.1029/JB078i017p03418
10.1115/1.4011547
10.1016/0021-8928(66)90087-6
10.1007/BF00034712
{'key': 'e_1_2_1_23_1', 'first-page': '749', 'article-title': 'Some general problems of mechanics of brittle fracture', 'volume': '22', 'author': 'Kostrov B. V.', 'year': '1970', 'journal-title': 'Arch. Mech. Stosowanej'} / Arch. Mech. Stosowanej / Some general problems of mechanics of brittle fracture by Kostrov B. V. (1970)
10.1785/BSSA0660030639 / Bull. Seismol. Soc. Amer. / Dynamics of an expanding circular fault by Madariaga R. (1976)
10.1520/STP26586S
Nur A. Advances in rock mechanicsThird Congress of the International Society of Rock MechanicsDenver 1974.
10.1098/rspa.1973.0040
10.1090/qam/81075
{'key': 'e_1_2_1_29_1', 'first-page': '191', 'volume-title': 'Fracture', 'author': 'Rice J. R.', 'year': '1968'} / Fracture by Rice J. R. (1968)
Rice J. R. Radiant energy dissipation in crack propagation July 1977 Proceedings of the ARPA Materials Research Council technical reportDep. of Mater. Eng. Univ. of Mich. Ann Arbor 1978.
10.1016/0020-7683(73)90007-3
{'key': 'e_1_2_1_32_1', 'first-page': '1', 'article-title': 'Dynamic motions near an earthquake fault: A three‐dimensional solution', 'volume': '66', 'author': 'Richards P. G.', 'year': '1976', 'journal-title': 'Bull. Seismol. Soc. Amer.'} / Bull. Seismol. Soc. Amer. / Dynamic motions near an earthquake fault: A three‐dimensional solution by Richards P. G. (1976)
10.1007/BF00034622 / Int. J. Fract. Mech. / On the initial motion of a Griffith crack by Rose L. R. F. (1976)
{'key': 'e_1_2_1_34_1', 'first-page': '607', 'volume-title': 'Inelastic Behavior of Solids', 'author': 'Sih G. C.', 'year': '1970'} / Inelastic Behavior of Solids by Sih G. C. (1970)
{'key': 'e_1_2_1_35_1', 'first-page': '175', 'article-title': 'Theory of velocity of earthquake dislocations', 'volume': '142', 'author': 'Weertman J.', 'year': '1975', 'journal-title': 'Geol. Soc. Amer. Mem.'} / Geol. Soc. Amer. Mem. / Theory of velocity of earthquake dislocations by Weertman J. (1975)
10.1115/1.4011454

Dates

Type	When
Created	17 years, 6 months ago (Feb. 6, 2008, 2:39 p.m.)
Deposited	1 year, 11 months ago (Sept. 23, 2023, 3:37 a.m.)
Indexed	4 days, 4 hours ago (Aug. 20, 2025, 9:16 a.m.)
Issued	46 years, 3 months ago (May 10, 1979)
Published	46 years, 3 months ago (May 10, 1979)
Published Online	12 years, 11 months ago (Sept. 20, 2012)
Published Print	46 years, 3 months ago (May 10, 1979)

Funders 0

None

BibTeX

@article{Freund_1979, title={The mechanics of dynamic shear crack propagation}, volume={84}, ISSN={0148-0227}, url={http://dx.doi.org/10.1029/jb084ib05p02199}, DOI={10.1029/jb084ib05p02199}, number={B5}, journal={Journal of Geophysical Research: Solid Earth}, publisher={American Geophysical Union (AGU)}, author={Freund, L. B.}, year={1979}, month=may, pages={2199–2209} }

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