Intersonic shear cracks and fault ruptures

Recent experimental observations of intersonic shear rupture events that occur in a variety of material systems have rekindled interest in the intersonic failure phenomenon. Since the early 1990s, engineers and scientists working in all length scales, from the atomistic, the structural, all the way up to the scale of the earth's deformation processes, have undertaken joint efforts to study this unexplored area of fracture mechanics. The analysis in the present article emphasizes the cooperative and complementary manner in which experimental observations and analytical and numerical developments have proceeded. The article first reviews early contributions to the theoretical literature of dynamic subsonic and intersonic fracture and highlights the significant differences between tensile and shear cracks. The article then uses direct laboratory observations as a framework for discussing the physics of intersonic shear rupture occurring in constitutively homogeneous (isotropic and anisotropic) as well as in inhomogeneous systems, all containing preferable crack paths or faults. Experiments, models, and field evidence at a variety of length scales (from the atomistic, the continuum, and up to the scale of geological ruptures) are used to discuss processes such as (1) shock wave formation, (2) large-scale frictional contact and sliding at the rupture faces, and (3) maximum attainable rupture speeds and rupture speed stability. Particular emphasis is given to geophysical field evidence and to the exploration of the possibility of intersonic fault rupture during shallow crustal earthquake events.

[1]  J. Weertman,et al.  Unstable slippage across a fault that separates elastic media of different elastic constants , 1980 .

[2]  Ralph J. Archuleta,et al.  A faulting model for the 1979 Imperial Valley earthquake , 1984 .

[3]  Steven M. Day,et al.  Dynamics of fault interaction: parallel strike‐slip faults , 1993 .

[4]  A. Sagy,et al.  Dynamic fracturing: field and experimental observations , 2001 .

[5]  A. Ruina,et al.  Stability of Steady Frictional Slipping , 1983 .

[6]  Jan Drewes Achenbach,et al.  Extension of an interface flaw under the influence of transient waves , 1973 .

[7]  R. Madariaga,et al.  Dynamic Propagation and Interaction of a Rupture Front on a Planar Fault , 2000 .

[8]  Honghui Yu,et al.  Mechanics of transonic debonding of a bimaterial interface: The anti-plane shear case , 1994 .

[9]  S. Nemat-Nasser,et al.  Compression‐induced nonplanar crack extension with application to splitting, exfoliation, and rockburst , 1982 .

[10]  Gao,et al.  How fast can cracks propagate? , 2000, Physical review letters.

[11]  Arun Shukla,et al.  Subsonic and intersonic crack growth along a bimaterial interface , 1996 .

[12]  A. Ruina Slip instability and state variable friction laws , 1983 .

[13]  P. Rosakis,et al.  Dynamic twinning processes in crystals , 1995 .

[14]  K. B. Broberg,et al.  The near-tip field at high crack velocities , 1989 .

[15]  H. Kanamori Mechanics of Earthquakes , 1994 .

[16]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: III. On steady-state crack propagation and crack branching , 1984 .

[17]  Gregory C. Beroza,et al.  Short slip duration in dynamic rupture in the presence of heterogeneous fault properties , 1996 .

[18]  T. Heaton Evidence for and implications of self-healing pulses of slip in earthquake rupture , 1990 .

[19]  Xiaopeng Xu,et al.  Numerical simulations of dynamic crack growth along an interface , 1996 .

[20]  Farid F. Abraham,et al.  The atomic dynamics of fracture , 2001 .

[21]  J. Rice,et al.  Slightly curved or kinked cracks , 1980 .

[22]  Hiroo Kanamori,et al.  The physics of earthquakes , 2001 .

[23]  A. Rosakis,et al.  Dynamic Failure Mechanisms in Beryllium-Bearing Bulk Metallic Glasses , 1998 .

[24]  R. Sibson Generation of Pseudotachylyte by Ancient Seismic Faulting , 1975 .

[25]  A. Rosakis,et al.  Analysis of intersonic crack growth in unidirectional fiber-reinforced composites , 1999 .

[26]  A. Rosakis,et al.  Transonic crack growth along a bimaterial interface: An investigation of the asymptotic structure of near-tip fields , 1996 .

[27]  John Lambros,et al.  SHEAR DOMINATED TRANSONIC INTERFACIAL CRACK GROWTH IN A BIMATERIAL-I. EXPERIMENTAL OBSERVATIONS , 1995 .

[28]  John Lambros,et al.  Highly transient elastodynamic crack growth in a bimaterial interface : higher order asymptotic analysis and optical experiments , 1993 .

[29]  Arun Shukla,et al.  Intersonic crack propagation in bimaterial systems , 1998 .

[30]  Rosakis Supersonic Dislocation Kinetics from an Augmented Peierls Model. , 2001, Physical review letters.

[31]  Ares J. Rosakis,et al.  The effect of bond strength and loading rate on the conditions governing the attainment of intersonic crack growth along interfaces , 1999 .

[32]  A. Rosakis,et al.  Million frames per second infrared imaging system , 2000 .

[33]  Y. Ben‐Zion Dynamic ruptures in recent models of earthquake faults , 2001 .

[34]  Yehuda Ben-Zion,et al.  Wrinkle-like slip pulse on a fault between different , 1997 .

[35]  T. Nakata,et al.  Large slip velocity of the surface rupture associated with the 1990 Luzon Earthquake , 1994 .

[36]  L. B. Freund,et al.  The stability of a rapid mode II shear crack with finite cohesive traction , 1979 .

[37]  J. Brune Tectonic stress and the spectra of seismic shear waves from earthquakes , 1970 .

[38]  Mustafa Aktar,et al.  Seismic imaging of the 1999 Izmit (Turkey) Rupture inferred from the near‐fault recordings , 2000 .

[39]  K. B. Broberg,et al.  Intersonic Bilateral Slip , 1994 .

[40]  Arun Shukla,et al.  Investigation of the mechanics of intersonic crack propagation along a bimaterial interface using coherent gradient sensing and photoelasticity , 1997, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[41]  Vikas Prakash,et al.  Frictional Response of Sliding Interfaces Subjected to Time Varying Normal Pressures , 1998 .

[42]  Yoshiaki Ida,et al.  Cohesive force across the tip of a longitudinal‐shear crack and Griffith's specific surface energy , 1972 .

[43]  Raul Madariaga,et al.  Complexity of seismicity due to highly rate‐dependent friction , 1996 .

[44]  Arun Shukla,et al.  Dynamic fracture criteria for crack growth along bimaterial interfaces , 1998 .

[45]  J. Rice,et al.  Conditions under which velocity-weakening friction allows a self-healing versus a cracklike mode of rupture , 1998, Bulletin of the Seismological Society of America.

[46]  G. I. Barenblatt THE MATHEMATICAL THEORY OF EQUILIBRIUM CRACKS IN BRITTLE FRACTURE , 1962 .

[47]  Ares J. Rosakis,et al.  Shear dominated transonic interfacial crack growth in a bimaterial I-II. Asymptotic fields and favorable velocity regimes , 1995 .

[48]  S. Day Three-dimensional simulation of spontaneous rupture: The effect of nonuniform prestress , 1982, Bulletin of the Seismological Society of America.

[49]  John Lambros,et al.  Development of a dynamic decohesion criterion for subsonic fracture of the interface between two dissimilar materials , 1995, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[50]  George G. Adams,et al.  Steady Sliding of Two Elastic Half-Spaces With Friction Reduction due to Interface Stick-Slip , 1998 .

[51]  Ares J. Rosakis,et al.  How fast is rupture during an earthquake? New insights from the 1999 Turkey Earthquakes , 2001 .

[52]  W. Knauss,et al.  A reconciliation of dynamic crack velocity and Rayleigh wave speed in isotropic brittle solids , 1994, International Journal of Fracture.

[53]  Shamita Das Application of dynamic shear crack models to the study of the earthquake faulting process , 1985 .

[54]  J. Miklowitz Wave propagation in solids , 1969 .

[55]  Robert Burridge,et al.  Admissible Speeds for Plane-Strain Self-Similar Shear Cracks with Friction but Lacking Cohesion , 1973 .

[56]  Albert S. Kobayashi,et al.  Mechanics of crack curving and branching — a dynamic fracture analysis , 1985 .

[57]  K. Broberg Cracks and Fracture , 1999 .

[58]  Gao,et al.  Dislocations faster than the speed of sound , 1999, Science.

[59]  P. Spudich,et al.  Direct observation of rupture propagation during the 1979 Imperial Valley earthquake using a short baseline accelerometer array , 1984 .

[60]  A. Rosakis,et al.  Experimental observations of intersonic crack growth in asymmetrically loaded unidirectional composite plates , 2001 .

[61]  Zhigang Suo,et al.  Mechanics of dynamic debonding , 1991, Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences.

[62]  K. Broberg Intersonic mode II crack acceleration , 1999 .

[63]  Keiiti Aki,et al.  A numerical study of two-dimensional spontaneous rupture propagation , 1977 .

[64]  J. Rice,et al.  Rate and state dependent friction and the stability of sliding between elastically deformable solids , 2001 .

[65]  J. Rice New Perspectives on Crack and Fault Dynamics , 2001 .

[66]  Gutuan Zheng,et al.  Self-healing slip pulse on a frictional surface , 1995 .

[67]  Z. Suo,et al.  Intersonic crack growth on an interface , 2000, Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences.

[68]  Arun Shukla,et al.  Intersonic crack propagation along interfaces: Experimental observations and analysis , 1998 .

[69]  D. J. Andrews,et al.  Rupture velocity of plane strain shear cracks , 1976 .

[70]  K. T. Ramesh,et al.  Experimental techniques in the dynamics of deformable solids : presented at the 1st Joint Mechanics Meeting of ASME, ASCE, SES - MEET'N93, Charlottesville, Virginia, June 6-9, 1993 , 1993 .

[71]  L. B. Freund,et al.  The mechanics of dynamic shear crack propagation , 1979 .

[72]  C. Scholz The Mechanics of Earthquakes and Faulting , 1990 .

[73]  Ares J. Rosakis,et al.  Intersonic crack growth in bimaterial interfaces : an investigation of crack face contact , 1998 .

[74]  Ares J. Rosakis,et al.  Quasi-static and dynamic crack growth along bimaterial interfaces: A note on crack-tip field measurements using coherent gradient sensing , 1991 .

[75]  A. Parasnis,et al.  Dislocations in solids , 1989 .

[76]  D. J. Andrews,et al.  Properties and implications of dynamic rupture along a material interface , 1998, Bulletin of the Seismological Society of America.

[77]  Jay Fineberg,et al.  Instability in dynamic fracture , 1999 .

[78]  L. Freund,et al.  Observations on high strain rate crack growth based on a strip yield model , 1990 .

[79]  Terry E. Tullis,et al.  Self-healing slip pulses in dynamic rupture models due to velocity-dependent strength , 1996, Bulletin of the Seismological Society of America.

[80]  Krishnaswamy Ravi-Chandar,et al.  Processes controlling fast fracture of brittle solids , 1989, Comput. Sci. Eng..

[81]  Kim B. Olsen,et al.  Three-Dimensional Dynamic Simulation of the 1992 Landers Earthquake , 1997 .

[82]  John R. Rice,et al.  The mechanics of earthquake rupture , 1980 .

[83]  J. Willis,et al.  Fracture mechanics of interfacial cracks , 1971 .

[84]  K. Ravi-Chandar,et al.  An experimental investigation into dynamic fracture: II. Microstructural aspects , 1984 .

[85]  E. Johnson,et al.  On the initiation of unidirectional slip , 1990 .

[86]  Philippe H. Geubelle,et al.  A Spectral Scheme to Simulate Dynamic Fracture Problems in Composites , 2000 .

[87]  Velocity dependent friction of granite over a wide range of conditions , 1993 .

[88]  Izmit (Turkey) Earthquake of 17 August 1999: First Report , 1999 .

[89]  J. S. Epstein,et al.  Experimental techniques in fracture , 1993 .

[90]  John W. Hutchinson,et al.  Dynamic Fracture Mechanics , 1990 .

[91]  Huajian Gao,et al.  On radiation-free transonic motion of cracks and dislocations , 1999 .

[92]  J. Zimmerman,et al.  Nonradiating Dislocations in Uniform Supersonic Motion in Anisotropic Linear Elastic Solids , 2002 .

[93]  George G. Adams,et al.  Self-excited oscillations of two elastic half-spaces sliding with a constant coefficient of friction , 1995 .

[94]  Huajian Gao Surface roughening and branching instabilities in dynamic fracture , 1993 .

[95]  A. Rosakis,et al.  Cracks faster than the shear wave speed , 1999, Science.

[96]  Honghui Yu,et al.  Mechanics of transonic debonding of a bimaterial interface: The in-plane case , 1995 .

[97]  Huajian Gao,et al.  Intersonic Crack Propagation—Part I: The Fundamental Solution , 2001 .

[98]  Huajian Gao,et al.  Continuum and atomistic studies of intersonic crack propagation , 2001 .

[99]  John R. Rice,et al.  Slip dynamics at an interface between dissimilar materials , 2001 .

[100]  D. S. Dugdale Yielding of steel sheets containing slits , 1960 .

[101]  K. Broberg Intersonic Crack Propagation in an Orthotropic Material , 1999 .

[102]  E. Glennie A strain-rate dependent crack model , 1971 .

[103]  Michel Campillo,et al.  Contribution of radar interferometry to a two-step inversion of the kinematic process of the 1992 Landers earthquake , 1999 .

[104]  A. Rosakis,et al.  Dynamic decohesion of bimaterials: Experimental observations and failure criteria , 1994 .

[105]  A. Rosakis,et al.  Effect of elastic mismatch in intersonic crack propagation along a bimaterial interface , 1998 .

[106]  K. Broberg How fast can a crack go? , 1996 .

[107]  J. Rice,et al.  The growth of slip surfaces in the progressive failure of over-consolidated clay , 1973, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[108]  Erland Johnson Process region changes for rapidly propagating cracks , 1992 .