Dynamic Fracture

Dynamic Fracture

Volumn , Issue , 2004, Pages 1-254

  Ravi Chandar, K ^a  

^a UNIVERSITY OF TEXAS AT AUSTIN   (United States)

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EID: 28844472808     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/B978-0-08-044352-2.X5000-5     Document Type: Book

References (254)

1. F.F. Abraham, D. Brodbeck, R.A. Rafey and W.F. Rudge (1994) Instability Dynamics of Fracture: A Computer Simulation Investigation. Phys. Rev. Lett. 73 272.
2. F.F. Abraham, D. Brodbeck, W.E. Rudge and X. Xu (1997) A Molecular Dynamics Investigation of Rapid Fracture Mechanics. J. Mech. Phys. Solids 45 1595-1619.
3. F.F. Abraham (2003) How Fast Can Cracks Move? A Research Adventure in Materials Failure Using Millions of Atoms and Big Computers. Adv. Phys. 52 727-790.
4. J.D. Achenbach (1973) Wave Propagation in Elastic Solids Amsterdam: North-Holland Publishing Company
5. S.R. Anthony, J.P. Chubb and J. Congleton (1970) The Crack Branching Velocity. Philos. Mag. 22 1201-1261.
6. K. Arakawa and K. Tahakashi (1991) Relationship Between Fracture Parameters and Surface Roughness of Brittle Polymers. Int. J. Fract. 48 103-114.
7. A.S. Argon and M.M. Salama (1977) Growth of Crazes in Glassy Polymers. Phil. Mag. 36 1217-1234.
8. A. Assa, J. Politch and A.A. Betser (1979) Slope and Curvature Measurement by a Double-Frequency-Grating Shearing Interferometer. Exp. Mech. 19 129-137.
9. ASTM E 1221-96. Standard Test Method for Determining Plane-Strain Crack-Arrest Fracture Toughness, K 1a, of Ferritic Steels.
10. C. Atkinson and J.D. Eshelby (1968) The Flow of Energy into the Tip of a Moving Crack. Int. J. Fract. 4 3-8.
11. B.R. Baker (1962) Dynamic Stresses Created by a Moving Crack. J. Appl. Mech. 29 449-458.
12. G.I. Barenblatt (1959) Concerming Equilibrium Cracks Forming During Brittle Fracture: The Stability of Isolated Cracks Relationship with Energetic Theories. Appl. Math. Mech. 23 1273-1282. English Translation of
13. G.I. Barenblatt (1959) Concerning Equilibrium Cracks Forming During Brittle Fracture: The Stability of Isolated Cracks Relatinship with Energetic Theories. PMM 23 893-900.
14. B.R. Bass, C.E. Pugh and H.K. Stamm (1985) Dynamic Analysis of a Crack Run-Arrest Experiment in a Nonisothermal Plate, Pressure Vessel Components Design and Analysis. ASME PVP 98-2 175-184.
15. W.M. Beebe (1966) An Experimental Investigation of Dynamic Crack Propagation in Plastic and Metals. Ph.D. Thesis Pasadena, CA: California Institute of Technology
16. J.R. Berger, J.W. Dally and R.J. Sanford (1990) Determining the Dynamic Stress Intensity Factor with Strain Gages Using a Crack Tip Locating Algorithm. Engng Fract. Mech. 36 145-156.
17. H. Bergkvist (1974) Some Experiments on Crack Motion and Arrest in Polymethylmethacrylate. Engng Fract. Mech. 6 621-626.
18. W. Böhme (1990) Dynamic Key-Curves for Brittle Fracture Impact Tests and Establishment of a Transition Time. J.P. Gudas, J.A. Joyce, E.M. Hackett (Eds) Fracture Mechanics: Twenty-First Symposium ASTM STP 1074 Philadelphia: American Society for Testing and Materials 144-156.
19. D. Bonamy and K. Ravi-Chandar (2003) Interaction of Stress Waves with Propagating Cracks. Phys. Rev. Lett 91 235502.
20. M. Born and E. Wolf (1999) 7th expanded ed. Principles of Optics Cambridge: Cambridge University Press
21. E. Bouchaud (1997) Scaling Properties of Cracks. J. Phys. Condens. Matter 9 4319-4344.
22. F.P. Bowden, J.H. Brunton, J.E. Field and A.D. Hayes (1967) Controlled Fracture of Brittle Solids and Interruption of Electric Current. Nature 216 38-42.
23. W.B. Bradley and A.S. Kobayashi (1970) An Investigation of Propagating Cracks by Dynamic Photoelasticity. Exp. Mech. 10 106-113.
24. D. Brewster (1814) On the Affections of Light Transmitted Through Crystallized Bodies. Philos. Trans. 104 187-218.
25. D. Brewster (1815) On the Effects of Simple Pressure in Producing that Species of Crystallization Which Forms Two Oppositely Polarized Images, and Exhibits the Complementary Colors by Polarized Light. Philos. Trans. 105 60-64.
26. B. Brickstad (1983) A FEM Analysis of Crack Arrest Experiments. Int. J. Fract. 21 177-194.
27. B. Brickstad and F. Nilsson (1986) Dynamic Analysis of Crack Growth and Arrest in a Pressure Vessel Subjected to Thermal and Pressure Loading. Engng Fract. Mech. 23 61-70.
28. B. Brickstad and F. Nilsson (1986) A Dynamic Analysis of Crack Propagation and Arrest in Pressurized Thermal Shock Experiments. Engng Fract. Mech. 23 99-102.
29. K.B. Broberg (1960) The Propagation of a Brittle Crack. Ark. Fysik 18 159-192.
30. K.B. Broberg (1982) Foundations of Fracture Mechanics. Engng Fract. Mech. 16 497-515.
31. K.B. Broberg (1989) The Near-Tip Field at High Crack Velocities. Int. J. Fract. 39 1-13.
32. K.B. Broberg (1999) Cracks and Fracture New York: Academic Press
33. H.D. Bui, H. Maigre and D. Rittel (1992) A New Approach to the Experimental Determination of the Dynamic Stress Intensity Factor. Int. J. Solids Struct. 29 2881-2895.
34. R. Burridge (1976) An Influence Function for the Intensity Factor in Tensile Fracture. Int. J. Engng Sci. 14 725-734.
35. R. Burridge, G. Conn and L.B. Freund (1979) The Stability of a Rapid Mode II Shear Crack with Finite Cohesive Traction. J. Geophys. Res. 84 2210-2222.
36. J. Carlsson, L. Dahlberg and F. Nilsson (1973) Experimental Studies of the Unstable Phase of Crack Propagation in Metals and Polymers. G.C. Sih (Eds) Dynamic Crac Propagation Leyden: Noordhoff International Publishing 165-181.
37. Y.J. Chao, M.A. Sutton and C.E. Taylor (1982) Interferometric Determination of Curvatures of Flexed Plate. J. Appl. Mech. 49 837-842.
38. M.G. Charpy (June 1901) Note sur L'essai des Métaux, Mémoires et Compte-rendus de la Société des Ingénieurs Civils de France 848-877. English translation reprinted in
39. T.A. Siewert and M.P. Nanahan (Eds) (2000) Pendulum Impact Testing: A Century of Progress ASTM STP 1380 West Conshohocken, PA: American Society for Testing and Materials 46-69.
40. E.P. Chen and G.C. Sih (1977) Transient Response of Cracks to Impact Load, Mechanics of Fracture, Volume IV: Elastodynamic Crack Problem Leyden: Noordhoff International Publishing 1-58.
41. R.D. Cheverton, S.E. Bolt, P.P. Holz and S.K. Iskander (1981) Behavior of Surface Flaws in Reactor Pressure Vessels Under Thermal-Shock Loading Conditions. Exp. Mech. 21 155-162.
42. J. Congleton and N.J. Petch (1967) Crack-Branching. Philos. Mag. 16 749-760.
43. L.S. Costin, J. Duffy and L.B. Freund (1977) Fracture Intiation in Metals Under Stress Wave Loading Conditions. G.T. Hahn, M.F. Kanninen (Eds) Fast Fracture and Crack Arrest ASTM STP 627 Philadelphia: American Society for Testing and Matherials 301-318.
44. B. Cotterell (1965) Velocity Effects in Fracture Propagation. Appl. Mater. Res. 4 227-232.
45. B. Cotterell (1968) Fracture Propagation in Organic Glassers. Int. J. Fract. Mech. 4 209-217.
46. B. Cotterell and J.R. Rice (1980) Slightly Curved or Kinked Cracks. Int. J. Fract. 16 155-169.
47. J.W. Craggs (1960) On the Propagation of a Crack in an Elastic-Brittle Material. J. Mech. Phys. Solids 8 66-75.
48. T. Cramer, A. Wanner and P. Gumbsch (1997) Crack Velocities During Dynamic Fracture of Glass and Single Crystalline Silicon. Phys. Stat. Solidi A 164 R5-R6.
49. P.B. Crosley and E.J. Ripling (1969) Dynamic Fracture Toughness of A533 Steel. J. Basic Engng 91 525-534.
50. P.B. Crosley and E.J. Ripling (1980) Significance of Crack Arrest Toughness K 1a Testing, Crack Arrest Methodology and Application-ASTM STP 711 Philadelphia: Dynamic Fracture Criteria for a Polycarbonate 321-337.
51. D.R. Curran, D.A. Shockey and L. Seaman (1973) Dynamic Fracture Criteria for a Polycarbonate. J. Appl. Phys. 44 4025.
52. L. Dahlberg, F. Nilsson and B. Brickstad (1980) Influence of Specimen Geometry on Crack Propagation and Arrest Toughness, Crack Arrest Methodology and Application—ASTM STP 711 Philadelphia: American Society for Testing and Materials 89-108.
53. J.W. Dally (1979) Dynamic Photoelastic Studies of Fracture. Exp. Mech. 19 349-361.
54. J.W. Dally and D.B. Barker (1988) Dynamic Measurements of Initiation Toughness at High Loading Rates. Exp. Mech. 28 298-303.
55. J.W. Dally and J.R. Berger (1993) The Role of the Electrical Resistance Strain Gage in Fracture Research. J.S. Epstein (Eds) Experimental Techniques in Fracture New York: VCH 1-39.
56. J.W. Dally and T. Kobayashi (1978) Crack Arrest in Duplex Specimens. Int. J. Solids Struct. 14 121-129.
57. J.W. Dally and W.F. Riley (1978) 2nd ed. Experimental Stress Analysis New York: McGraw-Hill
58. W. Döll (1976) Transition from Slow to Fast Crack Propagation in PMMA. J. Mater. Sci. 11 2348.
59. W. Döll (1976) Application of an Energy Balance and an Energy Method to Dynamic Crack Propagation. Int. J. Fract 12 595-605.
60. M.J. Doyle (1983) A Mechanism for Crack Branching in Polymethyl Methacrylate and the Origin of the Bands on the Surfaces of Fracture. J. Mater. Sci. 18 687-702.
61. D.S. Dugdale (1960) Yielding of Steel Sheets Containing Slits. J. Mech. Phys. Solids 8 100-104.
62. E.N. Dulaney and W.F. Brace (1960) Velocity Behavior of a Growing Crack. J. Appl. Phys. 31 2233-2236.
63. H.E. Edgerton and F.E. Bartow (1941) J. Amer. Ceram. Soc. 41 131.
64. J. Eftis and J.M. Kraft (1965) A Comparison of the Initiation with the Rapid Propagation of a Crack in a Mild Steel Plate. J. Basic Engng, Trans. ASME 257-263.
65. J.S. Epstein and M.S. Dadkhah (1993) Moire Interferometry in Fracture Research. J.S. Epstein (Eds) Experimental Techniques in Fracture New York: VCH 427-508.
66. J.D. Eshelby (1970) Energy Relations and the Energy-Momentum Tensor in Continuum Mechanics. M.F. Kanninen, et al., (Eds) Inelastic Behavior of Solids New York: McGraw-Hill 77-115.
67. M.L. Falk, A. Needleman and J.R. Rice (2001) A Critical Evaluation of Cohesive Zone Models of Dynamic Fracture. J. Phys. IV 11 43-50.
68. J.E. Field (1971) Brittle Fracture: Its Study and Application. Contemp. Phys. 12 1-31.
69. J.E. Field (1983) High-Speed Photography. Contemp. Phys. 24 439-459.
70. J. Fineberg and M. Marder (1999) Instability in Dynamic Fracture. Phys. Rep. 313 1-108.
71. J. Fineberg, S.P. Gross, M. Marder and H.L. Swinney (1991) Instability in Dynamic Fracture. Phys. Rev. Lett. 67 457-460.
72. J. Fineberg, S.P. Gross, M. Marder and H.L. Swinney (1992) Instability in the Propagation of Fast Cracks. Phys. Rev. B45 5146-5154.
73. L.B. Freund (1972) Energy Flux into the Tip of an Extending Crack in an Elastic Solid. J. Elasticity 2 341-349.
74. L.B. Freund (1972) Crack Propagation in an Elastic Solid Subjected to General Loading. I. Constant Rate of Extension. J. Mech. Phys. Solids 20 129-140.
75. L.B. Freund (1973) Crack Propagation in an Elastic Solid subjected to General Loading. III. Stress Wave Loading. J. Mech. Phys. Solids 21 47-61.
76. L.B. Freund (1974) Crack Propagation in an Elastic Solid Subjected to General Loading. IV. Obliquely Incident Stress Pulse. J. Mech. Phys. Solids 22 137-146.
77. L.B. Freund (1974) Stress Intensity Factor Due to Normal Impact Loading of the Faces of a Crack. Int. J. Engng Sci. 12 179-189.
78. L.B. Freund (1979) The Mechanics of Dynamic Shear Crack Propagation. J. Geophys. Res. 84 2199-2209.
79. L.B. Freund (1990) Dynamic Fracture Mechanics Cambridge: Cambridge University Press
80. L.B. Freund and A.J. Rosakis (1992) The Structure of the Near-Tip Field During Transient Elastodynamic Crack Growth. J. Mech. Phys. Solids 40 699-719.
81. P.H. Geubelle and J.R. Rice (1995) A Spectral Method for Three-Dimensional Elastodynamic Fracture Problems. J. Mech. Phys. Solids 43 1791-1824.
82. J.J. Gilman, C. Knudsen and W.P. Walsh (1958) Cleavage Cracks and Dislocations in LiF Crystals. J. Appl. Phys. 6 601-607.
83. K.F. Graff (1975) Wave Motion in Elastic Solids Ohio: Ohio State University Press
84. A.K. Green and P.L. Pratt (1974) Measurement of the Dynamic Fracture Toughness of Polymethylmethacrylate by High-Speed Photography. Engng Fract. Mech. 6 71.
85. J.A. Hauch and M. Marder (1998) Energy Balance in Dynamic Fracture, Investigated by a Potential Drop Technique. Int. J. Fract. 90 133-151.
86. A. Hillerborg, M. Modeer and P.E. Peterson (1976) Analysis of Crack Formation and Crack Growth in Concrete by Means of Fracture Mechanics and Finite Elements. Cem. Concr. Res. 6 773-782.
87. R.G. Hoagland, A.R. Rosenfield, P.C. Gehlen and G.T. Hahn (1977) A Crack Arrest Measuring Procedure for K 1m, K ID, and K 1a Properties. G.T. Hahn, M.F. Kanninen (Eds) Fast Fracture and Crack Arrest ASTM STP 627 Philadelphia: American Society for Testing and Materials 177-202.
88. J. Hopkinson (1901) Original Papers Cambridge: Cambridge University Press 310-320.
89. D. Hull (1997) Influence of Stress Intensity and Crack Speed on Fracture Surface Topography: Mirror to Mist Transition. J. Mater. Sci. 31 1829-1841.
90. D. Hull (1997) Influence of Stress Intensity and Crack Speed on Fracture Surface Topography: Mirror to Mist to Macroscopic bifurcation. J. Mater. Sci. 31 4483-4492.
91. D.R. Ireland (1974) Procedures and problems Associated with Reliable Control of the Instrumented Impact Test, Instrumented Impact Testing. ASTM STP 536 3-29.
92. G.R. Irwin and J.A. Kies (1952) Fracturing and Fracture Dynamics. Weld. J., NY Res. Suppl. 31 95.
93. K.D. Ives, A.K. Shoemaker and R.F. McCartney (1974) Pipe Deformation During a running Shear Fracture in Line Pipe. J. Engng Mater. Technol. 96 309-317.
94. E. Johnson (1992) Process Region Changes for Rapidly Propagation Cracks. Int. J. Fract. 55 47-63.
95. R.C. Jones (1941) A New Calculus for the Treatment of Optical Systems. J. Opt. Soc. Am. 31 488-493. (Part I)
96. R.C. Jones (1941) A New Calculus for the Treatment of Optical Systems. J. Opt. Soc. Am. 31 493-499. (Part II)
97. J. Jung and M.F. Kanninen (1983) An Analysis of Dynamic Crack Propagation and Arrest in a Nuclear Pressure Vessel Under Thermal Shock Conditions. J. Press. Vessel Technol. 105 111-116.
98. J.F. Kalthoff (1983) On Some Current Problems in Experimental Fracture Dynamics. W.G. Knauss, K. Ravi-Chandar, A.J. Rosakis (Eds) The Proceedings of the NSF-ARO Workshop on Dynamic Fracture 11-35.
99. J.F. Kalthoff (1986) Fracture Behavior Under High Rates of Loading. Engng Fract. Mech. 23 289-298.
100. J.F. Kalthoff (1987) Shadow Optical Method of Caustics. A.S. Kobayashi (Eds) Handbook of Experimental Mechanics New York: Prentice Hall 430-498.
101. J.F. Kalthoff (1990) Experimental Fracture Dynamics. J.R. Klepaczko (Eds) Crack dynamics in Metallic Materials Vienna: Springer 69-254.
102. J.F. Kalthoff (1990) Shadow Optical Analysis of Dynamic Shear Fracture. Opt. Engng 27 835-840.
103. J.F. Kalthoff and D.A. Shockey (1977) Instability of Crack Under Impulse Loads. J. Appl. Phys. 48 986-993.
104. J.F. Kalthoff, J. Beinert and S. Winkler (1977) Measurement of Dynamic Stress Intensity Factors for Fast Running and Arresting Cracks in Double Cantilever Beam Specimens. G.T. Hahn, M.F. Kanninen (Eds) Fast Fracture and Crack Arrest ASTM STP 627 Philadelphia: American Society for Testing and Materials 161-176.
105. J.F. Kalthoff, J. Beinert and S. Winkler (1980) Analysis of Fast Running and Arresting Cracks by the Shadow-Optical Method of Caustics. IUTAM Symposium on Optical Methods in the Mechanics of Solids University of Poitiers, France 497-508.
106. J.F. Kalthoff, J. Beinert, S. Winkler and W. Klemm (1980) Experimental Analysis of Dynamic Effects in Different Crack Arrest Test Specimens, Crack Arrest Methodology and Application-ASTM STP 711 Philadelphia: American Society for Testing and Materials 109-127.
107. M. Kavaturu, A. Shukla and A.J. Rosakis (1998) Intersonic Crack Propagation Along Interfaces: Experimental Observations and Analysis. Exp. Mech. 38 218-225.
108. F. Kerhkof (1973) Wave Factographic Investigation of Brittle Fracture Dynamics. G.C. Sih (Eds) Dynamic Crack Propagation Leyden: Noordhoff International Publishing 3-35.
109. J.A. Kies, A.M. Sullivan and G.R. Irwin (1950) Interpretation of Fracture Markings. J. Appl. Phys. 21 716-720.
110. K.S. Kim (1985) Dynamic Fracture Under Normal Impact Loading of the Crack Faces. J. Appl. Mech. 52 585-592.
111. K.S. Kim (1985) A Stress Intensity Factor Tracer. J. Appl. Mech. 52 291-297.
112. V.K. Kinra and C.L. Bowers (1981) Brittle Fracture of Plates in Tension. Stress Field Near the Crack. Int. J. Solids Struct. 17 175.
113. P.A. Klein and H. Gao (2001) Study of Crack Dynamics Using the Virtual Internal Bond Method. T.-J. Chuang, J.W. Rudnicki (Eds) Multiscale Deformation and Fracture in Materials and Structures Dordrecht: Kluwer Academic Publishers 275-309.
114. J.R. Klepaczko (1982) Discussion of a New Experimental Method in Measuring Fracture Toughness Initiation at High Loading Rates by Stress Waves. J. Engng Mater. Technol. 104 29-35.
115. J.R. Klepaczko (1985) Fracture Initiation Under Impact. Int. J. Impact Engng 3 191-210.
116. J.R. Klepaczko (1990) Dynamic Crack Initiation, Some Experimental Methods and Modeling. J.R. Klepaczko (Eds) Crack Dynamics in Metallic Materials Vienna: Springer 255-454.
117. W.G. Knauss (1974) On the Steady Propagation of a Crack in a Viscoelastic Sheet: Experiments and Analysis. H.H. Kausch, et al., (Eds) Deformation and Fracture of High Polymers New York: Plenum Press 501-541.
118. A.S. Kobayashi and S. Mall (1978) Dynamic Fracture Toughness of Homalite-100. Exp. Mech. 18 11-18.
119. A.S. Kobayashi, B.G. Wade, W.B. Bradley (1973) Fracture Dynamics of Homalite-100. H.H. Hausch, et al., (Eds) Deformation and Fracture of High Polymers New York: Plenum Press 487-500.
120. A.S. Kobayashi, A.F. Emery and S. Mall (1977) Dynamic Finite Element and Dynamic Photoelastic Analyses of Crack Arrest in Homalite-100 Plates. G.T. Hahn, M.F. Kanninen (Eds) Fast Fracture and Crack Arrest ASTM STP 627 Philadelphia: American Society for Testing and Materials 95-108.
121. A.S. Kobayashi, K. Seo, J.Y. Jou and Y. Urabe (1980) A Dynamic Analysis of Modified Compact-Tension Specimens Using Homalite-100 and Polycarbonate Plates. Exp. Mech. 20 73-79.
122. T. Kobayashi and J.W. Dally (1980) Dynamic Photoelastic Determination of the Relation for 4340 Steel. Crack Arrest Methodology and Application—ASTM STP 711 Philadelphia: American Society for Testing and Materials 189-210.
123. M. Kosai and A.S. Kobayashi (1991) Axial Crack Propagation and Arrest in Pressurized Fuselage. S.N. Atluri, S.G. Sampath, P. Tong (Eds) Structural Integrity of Aging Aircraft Berlin: Springer 225-239.
124. M. Kosai, A. Shimamoto, C.T. Yu, A.S. Kobayashi and P.W. Tan (1999) Axial Crack Propagation and Arrest in a Pressurized Cylinder: An Experimental-Numerical Analysis. Exp. Mech. 39 256-264.
125. B.V. Kostrov (1966) Unsteady Crack Propagation of Longitudinal Shear Cracks. Appl. Math. Mech. 30 1241-1248. English Translation from
126. B.V. Kostrov (1966) Unsteady Crack Propagation of Longitudinal Shear Cracks. PMM 30 1042-1049.
127. B.V. Kostrov (1975) On the Crack Propagation with Variable Velocity. Int. J. Fract. 11 47-56.
128. B.V. Kostrov and L.V. Nikitin (1970) Some General Problems of Mechanics of Brittle Fracture. Arch. Mech. Stosowanej 22 749-775.
129. S. Krishnaswamy and A.J. Rosakis (1990) On the Extent of Dominance of Asymptotic Elastodynamic Crack Tip Fields: Part I: An Experimental Study Using Bifocal Caustics. J. Appl. Mech. 58 87-94.
130. S. Krishnaswamy, H.V. Tippur and A.J. Rosakis (1992) Measurement of Transient Crack Tip Deformation Fields Using the Method of Coherent Gradient Sensing. J. Mech. Phys. Solids 40 339-372.
131. M.K. Kuo (1993) Stress Intensity Factors for a Semi-infinite Plane Crack Under a Pair of Point Forces. J. Elasticity 30 197-209.
132. M.K. Kuo and T.Y. Chen (1992) The Wiener-Hopf Technique in Elastodynamic Crack Problems with Characteristic Lengths in Loading. Engng Fract. Mech. 42 805-813.
133. H. Lee and S. Krishnaswamy (1996) A Compact Polariscope/Shearing Interferometer for Mapping Stress Fields in Bimaterial Systems. Exp. Mech. 36 404-411.
134. Y.J. Lee and L.B. Freund (1990) Fracture Initiation Due to Asymmetric Impact Loading of an Edge Cracked Plate. J. Appl. Mech. 57 104-111.
135. J. Leeuwerik (1962) Kinematic Features of the Brittle Fracture Phenomenon. Rheol. Acta 2 10-16.
136. C. Liu and A.J. Rosakis (1994) On the Higher Order Asymptotic Analysis of a Non-uniformly Propagating Dynamic Crack Along an Arbitrary Path. J. Elasticity 35 27-60.
137. C. Liu, A.J. Rosakis and L.B. Freund (1993) Interpretation of Optical Caustics in the Presence of Non-uniform Crack Tip Motion Histories: A Study Based on a Higher Order Transient Crack Tip Expansion. Int. J. Solids Struct. 30 875-897.
138. C. Liu, W.G. Knauss and A.J. Rosakis (1998) Loading Rate and Dynamic Initiation Toughness in Brittle Solids. Int. J. Fract. 90 103-118.
139. A.E.H. Love (1927) 4th ed. A Treatise on the Mathematical Theory of Elasticity Cambridge: Cambridge University Press
140. C.C. Ma (1991) Analysis of the Caustic Method for the Transient Stress Field of a Stationary Crack. J. Appl. Mech. 58 591-593.
141. C.C. Ma and L.B. Freund (1986) The Extent of the Stress Intensity Factor Field During Crack Growth Under Dynamic Loading Conditions. J. Appl. Mech. 53 303-310.
142. R.V. Mahajan and K. Ravi-Chandar (1989) Experimental Determination of Stress Intensity Factors Using Caustics and Photoelasticity. Exp. Mech. 29 6-11.
143. H. Maigre and D. Rittel (1995) Dynamic Fracture Detection Using the Force-Displacement Reciprocity: Application to the Compact Compression Specimen. Int. J. Fract. 73 67-79.
144. S. Mall and A.S. Kobayashi (1978) Dynamic Fracture Toughness of Homalite-100. Exp. Mech. 18 11-18.
145. B. Mandelbrot, D.E. Passoja and A.J. Paullay (1984) Fractal Character of Fracture Surfaces in Metals. Nature 308 721-722.
146. P. Mannogg (1964) Schattenoptische Messung der Spezifishen Burchenergie Während des Bruchvorgangs bei Plexiglas. Proceedings of the International Conference on the Physics of Non-crystalline Solids Delft, The Netherlands 481-490.
147. M. Marder and S.P. Gross (1995) Origin of Crack Tip Instabilities. J. Mech. Phys. Solids 43 1-48.
148. J.J. Mason, J. Lambros and A.J. Rosakis (1992) The Use of Coherent Gradient Sensor in Dynamic Mixed-Mode Fracture Mechanics Experiments. J. Mech. Phys. Solids 40 641-661.
149. K. Matsushinge, Y. Sakurada and K. Takahashi (1984) X-Ray Microanalysis and Acoustic Emission Studies on the Formation Mechanism of Secondary Cracks in PMMA. J. Mater. Sci. 19 1548.
150. A.W. Maue (1953) Die Beugung Elastischer Wellen an der Halbebene. Z. Angew. Math. Mech. 33 1-10.
151. J. Miklowitz (1978) The Theory of Elastic Waves and Waveguides Amsterdam: North-Holland Publishing Company
152. J. Milne, R.A. Ainsworth, A.R. Dowling and A.T. Stewart (1988) Assessment of the Integrity of Structures Containing Defects. Int. J. Press. Vessels Piping 32 3-104.
153. J.W. Morrissey and J.R. Rice (1998) Crack Front Waves. J. Mech. Phys. Solids 46 467-487.
154. J.W. Morrissey and J.R. Rice (2000) Perturbative Simulations of Rack Front Waves. J. Mech. Phys. Solids 48 1229-1251.
155. N.F. Mott (1948) Brittle Fracture in Mild Steel Plates. Engineering 165 16-18.
156. T. Nakamura, C.F. Shih and L.B. Freund (1986) Analysis of a Dynamically Loaded Three Point Bend Ductile Fracture Specimen. Engng Fract. Mech. 25 323-339.
157. A. Nakano, R.K. Kalia and P. Vashishta (1995) Dynamics and Morphology of Brittle Cracks: A Molecular-Dynamics Study of Silicon Nitride. Phys. Rev. Lett. 75 3138-3141.
158. T. Nicholas (1975) Instrumented Impact Testing Using a Hopkinson Bar Apparatus. Technical Report, AFML-TR-7554 Ohio: Wright-Patterson AFB
159. B. Noble (1958) Methods Based on the Wiener-Hopf Technique Elmsford, NY: Pergamon Press
160. G. Nomarski: French Patent Specification 1,059,123, 1955.
161. P.D. O'Donoghue, M.F. Kanninen, C.P. Leung, G. Demofonti and S. Venzi (1997) The Development and Validation of a Dynamic Fracture Propagation Model for Gas Transmission Pipelines. Int. J. Press. Vessels Piping 70 11-25.
162. M. Ortiz and A. Pandolfi (1999) Finite-Deformation Irreversible Cohesive Elements for Three-Dimensional Crack Propagation Analysis. Int. J. Numer. Methods Engng 44 1267-1282.
163. D.M. Owen, S. Zhuang, A.J. Rosakis and G. Ravichandran (1998) Experimental Determination of Dynamic Initiation and Propagation Fracture Toughness in Thin Aluminum Sheets. Int. J. Fract. 90 153-174.
164. T.L. Paxson and R.A. Lucas (1973) An Investigation of the Velocity Characteristics of a Fixed Boundary Fracture Model. G.C. Sih (Eds) Dynamic Crack Propagation Leyden: Noordhoff International Publishing 415-426.
165. R.D. Pfaff, P.D. Washabaugh and W.G. Knauss (1995) An Interpretation of Twyman—Green Interferograms from Static and Dynamic Fracture Experiments. Int. J. Solids Struct. 32 939-956.
166. W.H. Press, S.A. Teukolsky, W.T. Vettering and B.P. Flannery (1992) Numerical Recipes in C. 2nd ed. The Art of Scientific Computing Cambridge: Cambridge University Press
167. C.E. Pugh, D.J. Naus, B.R. Bass, R.K. Nanstad, R. de Wit, R.J. Fields and S.R. Low III (1988) Wide-Plate Crack-Arrest Tests Utilizing Prototypical Pressure Vessel Steel. Int. J. Press. Vessels Piping 31 165-188.
168. S. Ramanathan and D.S. Fisher (1997) Dynamics and Instabilities of Planar Tensile Cracks in Heterogeneous Media. Phys. Rev. Lett. 79 877-880.
169. K. Ravi-Chandar (1983) A Note on the Dynamic Stress Field Near a Propagating Crack. Int. J. Solids Struct. 19 839-841.
170. K. Ravi-Chandar (1995) On the Failure Mode Transitions in Polycarbonate Under Dynamic Mixed-Mode Loading. Int. J. Solids Struct. 32 925-938.
171. K. Ravi-Chandar (December, 2001) Dynamic Shear Cracks Propagation in Homogeneous Materials. Proceedings of the 10th International Conference on Fracture Elsevier
172. K. Ravi-Chandar and W.G. Knauss (1982) Dynamic Crack Tip Stresses Under Stress Wave Loading—A Comparison of Theory and Experiment. Int. J. Fract. 20 209-222.
173. K. Ravi-Chandar and W.G. Knauss (1984) An Experimental Investigation into Dynamic Fracture—I. Crack Initiation and Crack Arrest. Int. J. Fract. 25 247-262.
174. K. Ravi-Chandar and W.G. Knauss (1984) An Experimental Investigation into Dynamic Fracture—II. Microstructural Aspects. Int. J. Fract. 26 65-80.
175. K. Ravi-Chandar and W.G. Knauss (1984) An Experimental Investigation into Dynamic Fracture—III. On Steady State Crack Propagation and Branching. Int. J. Fract. 26 141-154.
176. K. Ravi-Chandar and W.G. Knauss (1984) An Experimental Investigation into Dynamic Fracture—IV. On the Interaction of Stress Waves with Propagating Cracks. Int. J. Fract. 26 189-200.
177. K. Ravi-Chandar and W.G. Knauss (1987) On the Characterization of the Transient Stress Field Near the Tip of a Crack. J. Appl. Mech. 54 72-78.
178. K. Ravi-Chandar and B. Yang (1997) On the Role of Microcracks in the Dynamic Fracture of Brittle Materials. J. Mech. Phys. Solids 45 535-563.
179. G. Ravichandran and R.J. Clifton (1989) Dynamic Fracture Under Plane Wave Loading. Int. J. Fract. 40 157-201.
180. V.R. Regel (1951) J. Tech. Phys. USSR 21 287.
181. J.R. Rice (1968) Mathematical Analysis in the Mechanics of Fracture. H.L. Liebowitz (Eds) Fracture Vol. 2 New York: Academic Press 191-311.
182. J.R. Rice, P.C. Paris and J.G. Merkle (1973) Some Further Results of j-Integral Analysis and Estimates, Progress in Flaw Growth and Fracture Toughness Testing. ASTM STP 536 Philadelphia: American Society for Testing and Materials 231-245.
183. H.G. Richter and F. Kerkhof (1994) Stress Wave Fractography. R.C. Bradt, R.E. Tressler (Eds) Fractography in Glass New York: Plenum Press 75-109.
184. W.F. Riley and J.W. Dally (1969) Recording Dynamic Fringe Patterns with a Cranz-Schardin Camera. Exp. Mech. 9 27N-33N.
185. D. Rittel and H. Maigre (1995) An Investigation of Dynamic Crack Initiation in PMMA. Mech. Mater. 23 229-239.
186. T.S. Robertson (1953) Propagation of a Brittle Fracture in Steel. J. Iron Steel Inst. 175 361-374.
187. A.J. Rosakis (1980) Analysis of the Optical Method of Caustics for Dynamic Crack Propagation. Engng Fract. Mech. 13 331-347.
188. A.J. Rosakis (1993) Two Optical Techniques Sensitive to the Gradients of Optical Path Difference: The Method of Caustics and the Coherent Gradient Sensor. J.S. Epstein (Eds) Experimental Techniques in Fracture Vol III New York: VCH Publishers 327-425.
189. A.J. Rosakis (2002) Intersonic Shear Cracks and Fault Ruptures. Adv. Phys. 51 1189-1257.
190. A.J. Rosakis and K. Ravi-Chandar (1986) On Crack Tip Stress State: An Experimental Evaluation of Three-Dimensional Effects. Int. J. Solids Struct. 22 121-134.
191. A.J. Rosakis, J. Duffy and L.B. Freund (1984) The Determination of Dynamic Fracture Toughness of AISI 4340 Steel by the Shadow Spot Method. J. Mech. Phys. Solids 32 443-460.
192. A.J. Rosakis, C. Liu and L.B. Freund (1991) A Note on the Asymptotic Stress Field of a Non-uniformly Propagating Dynamic Crack. Int. J. Fract. 50 R39-R45.
193. A.J. Rosakis, R.P. Singh, Y. Tsuji, E. Kolawa and N.R. Moore Jr. (1998) Full Field Measurements of Curvature Using Coherent Gradient Sensing: Application to Thin Film Characterization. Thin Solid Films 325 42-54.
194. A.J. Rosakis, O. Samudrala and D. Coker (1999) Cracks Faster than the Shear Wave Speed. Science 284 1337-1340.
195. C. Ruiz and R.A.W. Mines (1985) The Hopkinson Pressure Bar: An Alternative to the Instrumented Pendulum for Charpy Tests. Int. J. Fract. 29 101-109.
196. R.A. Schapery (1975) A Theory of Crack Initiation and Growth in Viscoelastic Media. I. Theoretical Development. Int. J. Fract. 11 141-159.
197. H. Schardin (1959) Velocity Effects in Fracture. B.L. Averbach, et al., (Eds) Fracture New York: Wiley 297-330.
198. H. Schardin and W. Struth (1938) Hochfrequenzkinematographische Untersuchung der Bruchvorgänge in Glas. Glastechnische Berichte 219.
199. E. Sharon and J. Fineberg (1996) Microbranching Instability and the Dynamic Fracture of Brittle Materials. Phys. Rev. B 54 7128-7139.
200. E. Sharon, G. Cohen and J. Fineberg (2001) Propagating Solitary Waves Along a Rapidly Moving Crack Front. Nature 410 68-71.
201. D.A. Shockey and D.R. Curran (1973) A Method for Measuring K IC at Very High Strain Rates. Progress in Flaw Growth and Fracture Toughness Testing, ASTM STP 536 Philadelphia: American Society for Testing and Materials 297-311.
202. D.A. Shockey, J.F. Kalthoff, W. Klemm and S. Winkler (1983) Simulatneous Measurements of Stress Intensity and Toughness for Fast-Running Crack in Steels. Exp. Mech. 23 140-145.
203. D.A. Shockey, J.F. Kalthoff and D.C. Erlich (1983) Evaluation of Dynamic Crack Instability. Int. J. Fract. 22 217-229.
204. A. Shukla and H.P. Rossmanith (1995) Dynamic Photoelastic Investigation of Wave Propagation and Energy Transfer Across Contacts. J. Strain Anal. 21 213-218.
205. A. Shukla, R.K. Agarwal and H. Nigam (1989) Dynamic Fracture Studies on 7075-T6 Aluminum and 4340 Steel Using Strain Gages and Photoelastic Coatings. Engng Fract. Mech. 31 501-515.
206. L.I. Slepyan (2002) Models and Phenomena in Fracture Mechanics New York: Springer
207. L.I. Slepyan and A.L. Fishkov (1981) The Problem of the Propagation of a Cut a Transonic Velocity. Soviet Phys. Dokl. 26 1192-1193.
208. E. Smekal (1953) Zum Bruchvorgang bei Sprodem Stoffverhalten Unter ein- and Mehrachsigen Beanspruchungen. Osterreichische Ingenieur Arch. 7 49-70.
209. I.N. Sneddon (1946) The Distribution of Stress in the Neighborhood of a Crack in an Elastic Solid. Proc. R. Soc. Lond. A187 229-260.
210. J.E. Srawley (1976) Wide Range Stress Intensity Factor Expressions for ASTM E399 Standard Fracture Toughness Specimens. Int. J. Fract. 12 475-476.
211. L.S. Srinath (1983) Scattered Light Photoelasticity New Delhi: Tata McGraw Hill
212. B. Stalder, P. Beguelin and H.H. Kausch (1983) A Simple Velocity Gauge for Measuring Crack Growth. Int. J. Fract. 22 R47-R54.
213. E. Sternberg (1960) On the Integration of the Equations of Motion in the Classical Theory of Elasticity. Arch. Rational Mech. Anal. 6
214. G. Subramaninan and S.M. Nair (1985) Direct Determiniation of Curvatures of Bent Plates Using a Double-Glass-Plate Shearing Interferometer. Exp. Mech. 25 376-380.
215. H. Tada (1973) The Stress Analysis of Cracks Handbook New York: Del Research Corporation
216. C. Taudou, S.V. Potti and K. Ravi-Chandar (1992) On the Dominance of the Singular Dynamic Crack Tip Stress Field Under High Rate Loading. Int. J. Fract. 56 41-59.
217. P.S. Theocaris (1970) Localized Yielding Around a Crack Tip in Plexiglas. J. Appl. Mech. 37 409-415.
218. R. Thompson (1971) Lattice Trapping of Fracture Cracks. J. Appl. Phys. 42 3154-3160.
219. H.V. Tippur, S. Krishnaswamy and A.J. Rosakis (1990) A Coherent Gradient Sensor for Crack Tip Deformation Measurements: Analysis and Experimental Results. Int. J. Fract. 48 193-204.
220. H.V. Tippur, S. Krishnaswamy and A.J. Rosakis (1991) Optical Mapping of Crack Tip Deformations Using the Methods of Transmission and Reflection Coherent Gradient Sensing: A Study of Crack Tip K-Dominance. Int. J. Fract. 52 91-117.
221. UK Air Accidents Investigation Branch (1990) Report on the Accident to Boeing 747-121, N739PA at Lockerbie, Dumfriesshire, Scotland on 21 December, 1988. Aircraft Accident Report No 2/90 (EW/C1094)
222. F.F. Videon, F.W. Barton and W.J. Hall (1963) Brittle Fracture Propagation Studies. Ship Structure Committee Report SSC-148, Aug 1963 Washington DC: Office of Technical Services
223. I.A. Viktorov (1967) Rayleigh and Lamb Waves: Physical Theory and Applications New York: Plenum Press
224. W.B. Wade and A.S. Kobayashi (1970) An Investigation of Propagating Cracks by Dynamic Photoelasticity. Exp. Mech. 10 106-113.
225. W. Waetzmann (1912) Nature 172 461.
226. H. Wallner (1939) Linenstrukturen an Bruchflächen. Z. Phys. 114 368-378.
227. P.D. Washabaugh and W.G. Knauss (1993) Nonsteady Periodic Behavior in the Dynamic Fracture of PMMA. Int. J. Fract. 59 189.
228. L.T. Wheeler and E. Sternberg (1968) Some Theorems in Classical Elastodynamics. Arch. Rational Mech. Anal. 31 51-90.
229. M.L. Williams (1957) On the Stress Distribution at the Base of a Stationary Crack. J. Appl. Mech. 24 109-114.
230. J.R. Willis (1975) Equations of Motion for Propagating Cracks, The Mechanics and Physics of Fracture The Metals Society 57-67.
231. J.R. Willis (1989) Accelerating Cracks and Related Problems. G. Eason, R.W. Ogden (Eds) Elasticity, Mathematical Methods and Applications The Ian Sneddon 70th Birthday Volume Chichester: Ellis Horwood 397-409.
232. J.R. Willis (1992) The Stress Field Near the Tip of an Accelerating Crack. J. Mech. Phys. Solids 40 1671-1681.
233. M.L. Wilson, R.H. Hawley and J. Duffy (1980) The Effect of Loading Rate and Temperature on Fracture Initiation in 1020 Hot-Rolled Steel. Engng Fract. Mech. 13 371-385.
234. X.-P. Xu and A. Needleman (1994) Numerical Simulations of Fast Crack Growth in Brittle Solids. J. Mech. Phys. Solids 42 1397-1434.
235. B. Yang and K. Ravi-Chandar (1996) On the Role of the Process Zone in Dynamic Fracture. J. Mech. Phys. Solids 44 1955-1976.
236. E. Yoffe (1951) The Moving Griffith Crack. Philos. Mag. 42 739-750.
237. S.N. Zhurkov (1965) Kinetic Concept of Strength of Solids. Int. J. Fract. 1 311-323.
238. H. Coque, C.P. Leung and S.H. Hudak Jr. (1994) Effect of Planar Size and Dynamic Loading Rate on Initiation and Propagation Toughness of a Moderate-Roughness Steel. Engng Fract. Mech. 47 249-267.
239. F. Costanzo and J.R. Walton (1998) Numerical Simulations of a Dynamically Propagating Crack with a Nonlinear Cohesive Zone. Int. J. Fracture 91 373-389.
240. L.S. Costin and J. Duffy (1979) The Effect of Loading Rate and Temperature on the Initiation of Fracture in Mild, Rate-Sensitive Steel. J. Engng Mater. Technol. 101 258-264.
241. J.W. Dally and A. Shukla (1979) Dynamic Crack Behavior at Initiation. Mech. Res. Commun. 6 239-244.
242. J.W. Dally and A. Shukla (1983) Influence of Late-Breaking Ligaments on Crack-Propagation in Compact Specimens — A Photo-Elastic Study. Exp. Mech. 23 298-303.
243. A.T. de Hoop (1958) Representation Theorems for the Displacement in an Elastic Solid and Their Application to Elastodynamic Diffraction Theory. Ph.D. Thesis Delft: Technical University 72.
244. L.B. Freund (1972) Crack Propagation in an Elastic Solid Subjected to General Loading. II. Nonuniform Rate of Extension. J. Mech. Phys. Solids 20 141-150.
245. S.K. Khanna and A. Shukla (1995) On the Use of Strain Gages in Dynamic Fracture Mechanics. Engng Fract. Mech. 51 933-948.
246. W.G. Knauss and K. Ravi-Chandar (1985) Some Basic Problems in Stress Wave Dominated Fracture. Int. J. Fracture 27 127-143.
247. A.S. Kobayashi (1993) Handbook on Experimental Mechanics New York: Prentice Hall
248. T. Kobayashi, I. Yamamoto and M. Niinomi (1986) Evaluation of the Dynamic Toughness Parameters by Instrumented Charpy Impact Test. Engng Fract. Mech. 24 773-782.
249. T.L. Leise and J.R. Walton (2003) A Method for Solving Dynamically Accelerating Crack Problems in Linear Viscoelasticity. SIAM J. Applied Math. 64 94-107.
250. J.J. Mason, A.J. Rosakis and G. Ravichandran (1994) Full Field Measurements of the Dynamic Deformation Field Around a Growing Adiabatic Shear Band at the Tip of a Dynamically Loaded Crack or Notch. J. Mech. Phys. Solids 42 1679-1697.
251. K. Ravi-Chandar (1982) An Experimental Investigation into the Mechanics of Dynamic Fracture. Ph.D. Thesis Pasadena: California Institute of Technology
252. J.M. Rolfe and S.T. Barsom (1970) Correlations Between K IC and Charpy V-Notch Test Results in the Transition Temperature Range. Impact Testing of Metals, ASTM STP 466 Philadelphia: American Society for Testing and Materials 281-302.
253. A. Shukla and H. Nigam (1986) A Note on the Stress Intensity Factor and Crack Velocity Relationship for Homalite-100. Engng Fracture Mech 25 91.
254. W.B. Wade and A.S. Kobayashi (1975) Photoelastic Investigation on the Crack-Arrest Capability of a Pretensioned Stiffened Plate. Exp. Mech. 15 1-9.