Fracture Mechanics

Fracture Mechanics

Volumn , Issue , 2012, Pages

  Jin, Zhihe ^a   Sun, Chin Teh ^b  

^a UNIVERSITY OF MAINE   (United States)

^b PURDUE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 85013867410     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1016/C2009-0-63512-1     Document Type: Book

References (145)

1. Rossmanith H.P. The struggle for recognition of engineering fracture mechanics. Fracture Research in Retrospect 1997, 37-94. A.A. Balkema, Rotterdam, Netherlands. H.P. Rossmanith (Ed.).
2. Hayes E. Constance Tipper: testing her mettle in a materials world. Adv. Mater. Processes 1998, Vol. 153:100.
3. Wells A.A. The condition of fast fracture in aluminum alloys with particularly reference to Comet failures April 1955.
4. Winne D.J., Wundt B.M. Application of the Griffith-Irwin theory of crack propagation to the bursting behavior of disks, including analytical and experimental studies. Trans. ASME 1958, 80:1643-1655.
5. Irwin G.R. Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 1957, 24:361-364.
6. Griffith A.A. The phenomena of rapture and flow in solids. Philos Trans R Soc Lond 1920, A221:163-198.
7. Irwin G.R. Relation of stresses near a crack to the crack extension force. Proceedings of the International Congresses of Applied Mechanics 1957, Vol. VIII:245-251. University of Brussels.
8. Adnan A., Sun C.T. Evolution of nanoscale defects to planar cracks in a brittle solid. J. Mech. Phys. Sol. 2010, 58:983-1000.
9. Inglis C.E. Stresses in a plate due to the presence of cracks and sharp corners. Trans. Inst. Naval Architects 1913, 55:219-230.
10. Orowan E. Notch brittleness and strength of metals. Trans. Inst. Engrs Shipbuilders in Scotland 1945, 89:165-215.
11. Irwin G.R. Fracture dynamics. Fracture of Metals 1948, 147-166. ASM, Cleveland, OH.
12. Westergaard H.M. Bearing pressures and cracks. J. Appl. Mech. 1939, 6:49-53.
13. Williams M.L. On the stress distribuion at the base of a stationary crack. J. Appl. Mech. 1957, 24:109-114.
14. Irwin G.R. Plastic zone near a crack and fracture toughness. Proceedings of the 7th Sagamore Ordnance Materials Conference 1960, IV-63-IV-78. Syracuse University.
15. Mechanics of Fracture Vol. 1: Methods of Analysis and Solutions of Crack Problems 1973, Noordhoff International Pub., Leyden. G.C. Sih (Ed.).
16. Mechanics of Fracture Vol. 2: Three-Dimensional Crack Problems 1975, Noordhoff International Pub., Leyden. M.K. Kassir, G.C. Sih (Eds.).
17. Mechanics of Fracture Vol. 3: Plates and Shells with Cracks 1977, Noordhoff International Pub., Leyden. G.C. Sih (Ed.).
18. Tada H., Paris P.C., Irwin G.R. The Stress Analysis of Cracks Handbook 2000, ASME Press, New York.
19. Dugdale D.S. Yielding of steel sheets containing slits. J. Mech. Phys. Sol. 1960, 8:100-104.
20. Wells A.A. Unstable crack propagation in metals: cleavage and fast fracture. Proceedings of the Crack Propagation Symposium 1961, Vol. 1. Cracnfield, UK, Paper 84.
21. Wells A.A. Application of fracture mechanics at and beyond general yielding. Br. Weld. J. 1963, 11:563-570.
22. Rice J.R. A path independent integral and the approximate analysis of strain concentration by notches and cracks. A.ME J. Appl. Mech. 1968, 35:379-386.
23. Begley J.A., Landes J.D. The J-integral as a fracture criterion. ASTM STP 514, American Society for Testing and Materials 1972, 1-20. Philadelphia.
24. Rice J.R., Rosengren G.F. Plane strain deformation near a crack tip in a power-law hardening material. J. Mech. Phys. Sol. 1968, 16:1-12.
25. Hutchinson J.W. Singular behavior at the end of a tensile crack in a hardening material. J. Mech. Phys. Sol. 1968, 16:13-31.
26. Buehler M.J., Yao H., Ji B., Gao H. Cracking and adhesion at small scales: atomistic and continuum studies of flaw tolerant nanostructures. Model. Simul. Mater. Sci. Eng. 2006, 14:799-816.
27. Barenblatt G.I. The mathematical theory of equilibrium cracks in brittle fracture. Adv. Appl. Mech. 1962, 7:55-129.
28. Needleman A. A continuum model for void nucleation by inclusion debonding. J. Appl. Mech. 1987, 54:525-531.
29. Cottrell A.H. University of Melbourne 1963, 1.
30. Griffith A.A. The phenomena of rupture and flow in solids. Phil. Trans. Roy. Soc. (London) 1920, A221:163-198.
31. Inglis C.E. Stresses in a plate due to the presence of cracks and sharp corners. Trans. Inst. Naval Architects 1913, 55:219-230.
32. Orowan E. Notch brittleness and strength of metals. Trans. Inst. Engrs. Shipbuilders Scot. 1945, 89:165-215.
33. Irwin G.R. Fracture dynamics. Fracture of Metals 1948, 147-166. ASM, Cleveland, OH.
34. Irwin G.R. Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 1957, 24:361-364.
35. Muskhelishvili N.I. Some Basic Problems of the Mathematical Theory of Elasticity. P. Noordhoff Ltd., Groningen, Holland 1953.
36. Westergaard H.M. Bearing pressures and cracks. J. Appl. Mech. 1939, 6:49-53.
37. Sih G.C. On the Westergaard method of crack analysis. Int. J. Fract. Mech. 1966, 2:628-631.
38. Williams M.L. Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mech. 1952, 19:526-528.
39. Williams M.L. On the stress distribuion at the base of a stationay crack. J. Appl. Mech. 1957, 24:109-114.
40. Larsson S.G., Carlsson A.J. Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials. J. Mech. Phys. Solids 1973, 21:263-277.
41. Sun C.T., Qian H. Brittle fracture beyond stress intensity factor. J. Mech. Mater. Struct. 2009, 4(4):743-753.
42. Irwin G.R. Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 1957, 24:361-364.
43. Irwin G.R. Fractre dynamics. Fracture of Metals 1948, 66-147. American Society of Metals, Cleveland, OH.
44. Orowan E. Fundamentals of brittle fracture behavior of metals. Fracture and Strength of Solids, Rep. Prog. Phys. 1949, 12:185-232.
45. Rice J.R. Mathematical analysis in the mechanics of fracture. Fracture 1968, vol. 2:191-311. Academic Press, New York. H. Liebowitz (Ed.).
46. Rice J.R. A path independent integral and the approximate analysis of strain concentration by notches and cracks. J. Appl. Mech. 1968, 35:379-386.
47. Jin Z.-H., Sun C.T. On J-integral and potential energy variation. Int. J. Fract. 2004, 126:L19-L24.
48. Cherepanov G.P. Mechanics of Brittle Fracture 1979, McGraw-Hill, New York, p. 240.
49. Rybicki E.F., Kanninen M.F. A finite element calculation of stress intensity factors by a modified crack closure integral. Eng. Fract. Mech. 1977, 9:931-938.
50. Ayres D.J. A numerical procedure for calculating stress and deformation near a slit in a three-dimensional elastic-plastic solid. Eng. Fract. Mech. 1970, 2:87-106.
51. Cruse T.A. Three-dimensional elastic stress analysis of a fracture specimen with an edge crack. Int. J. Fract. Mech. 1971, 7:1-15.
52. Nakamura T., Parks D.M. Three-dimensional stress field near the crack front of a thin elastic plate. J. Appl. Mech. 1988, 55:805-813.
53. Shivakumar K.N., Raju I.S. Treatment of singularities in cracked bodies. Int. J. Fract. 1990, 45:159-178.
54. Kwon S.W., Sun C.T. Characteristics of three-dimensional stress fields in plates with a through-the-thickness crack. Int. J. Fract. 2000, 104:291-315.
55. Su X.M., Sun C.T. On singular stress at the crack tip of a thick plate under in-plane loading. Int. J. Fract. 1996, 82:237-252.
56. Benthem J.P. State of stress at the vertex of a quarter-infinite crack in a half-space. Int. J. Solids Struct. 1977, 13:479-492.
57. Yagawa G., Nishioka T. Three-dimensional finite element analysis for through-wall crack in thick plate. Int. J. Numer. Methods Eng. 1978, 12:1295-1310.
58. Hoskin B.C., Gratt D.G., Foden P.J. Fracture of tension panels with oblique cracks 1965, Aeronautical Research Laboratory, Melbourne, Report SM 305.
59. Pook L.P. The effect of crack angle on fracture toughness 1970, National Engineering Laboratory, East Kilbridge, Report NEL 449.
60. Erdogan F., Sih G.C. On the crack extension in plates under plane loading and transverse shear. J. Basic Eng. ASME 1963, 85:519-527.
61. Sih G.C. Strain energy density factor applied to mixed mode crack problems. Int. J. Fract. Mech. 1974, 10:305-321.
62. Hussain M.A., Pu S.L., Underwood J. Strain energy release rate for a crack under combined Mode I and II, Fracture Analysis, ASTM STP 560. Am. Soc. Test. Mater. 1974, 2-28.
63. Nuismer R.J. An energy release rate criterion for mixed mode fracture. Int. J. Fract. 1975, 11:245-250.
64. Cotterell B., Rice J.R. Slightly curved or kinked cracks. Int. J. Fract. 1980, 16:155-169.
65. Goldstein R.V., Salganik R.L. Brittle fracture of solids with arbitrary cracks. Int. J. Fract. 1974, 10:507-523.
66. Irwin G.R. Plastic zone near a crack and fracture toughness. Proceedings of the 7th Sagamore Ordnance Materials Conference, Syracuse University 1960, IV-63-IV-78.
67. Dugdale D.S. Yielding of steel sheets containing slits. J. Mech. Phys. Sol. 1960, 8:100-104.
68. Burdekin F.M., Stone D.E.W. The crack opening displacement approach to fracture mechanics in yielding materials. J. Strain Anal. 1966, 1:145-153.
69. H-O. Kim, Elastic-plastic fracture analysis for small scale yielding, PhD thesis, School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, 1996.
70. Hult J.A.H., McClintock F.A. Elastic-plastic stress and strain distributions around sharp notches under repeated shear. Proceedings of the 9th International Congress for Applied Mechanics 1957, Vol. 8:51-58.
71. Rice J.R., Rosengren G.F. Plane strain deformation near a crack tip in a power-law hardening material. J. Mech. Phys. Sol. 1968, 16:1-12.
72. Hutchinson J.W. Singular behavior at the end of a tensile crack in a hardening material. J. Mech. Phys. Sol. 1968, 16:13-31.
73. Sun C.T., Wang C.Y. A new look at energy release rate in fracture mechanics. Inter. J. Fract. 2002, 113:295-307.
74. Rice J.R. Stresses due to a sharp notch in a work-hardening elastic-plastic material loaded by longitudinal shear. J. Appl. Mech. 1967, 34:287-298.
75. H-O. Kim, Elastic-plastic fracture analysis for small scale yielding, PhD thesis, School of Aeronautics and Astronautics, Purdue University, West Lafayette, Indiana, 1996.
76. Bray G.H., Bucci R.J., Weh J.R., Macheret Y. Prediction of wide-cracked-panel toughness from small coupon tests. Advanced Aerospace Materials/Process Conference 1994.
77. Begley J.A., Landes J.D. The J-integral as a fracture criterion, Fracture Toughness, Part II, ASTM STP 514. American Society for Testing and Materials 1972, 1-20.
78. Hutchinson J.W., Paris P.C. Stability analyses of J controlled crack growth, Elastic-Plastic Fracture, ASTM STP 668. American Society for Testing and Materials 1979, 37-64.
79. McMeeking R.M., Parks D.M. On criterion for J-dominance of crack tip fields in large scale yielding, Elastic-Plastic Fracture, ASTM STP 668. American Society for Testing and Materials 1979, 175-194.
80. Shih C.F, German M.D. Requirements for a one parameter characterization of crack tip fields by the HRR singularity. In. J. Fract. 1981, 17:27-43.
81. Wells A.A. Application of fracture mechanics at and beyond general yielding. Br. Weld. J. 1961, 11:563-570.
82. Tracy D.M. Finite element solutions for crack tip behavior in small scale yielding. ASME J. Eng. Mater. Technol. 1976, 98:146-151.
83. Shih C.F. Relationship between the J-integral and crack opening displacement for stationary and growing cracks. J. Mech. Phys. Sol. 1981, 29:305-326.
84. Rice J.R. Elastic-plastic crack growth. Mechanics of Solids 1982, 539-562. H.G. Hopkins, M.J. Sewell (Eds.).
85. Newman J.C., Zerbst U. Engineering fracture mechanics. Eng. Fract. Mech. 2003, 70:367-369.
86. Newman J.C., James M.A., Zerbst U. A review of the CTOA/CTOD fracture criterion. Eng. Fract. Mech. 2003, 70:371-385.
87. Mahmoud S., Lease K. The effect of specimen thickness on the experimental characterization of critical crack tip opening angle in 2024-T351 aluminum alloy. Eng. Fract. Mech. 2003, 70:443-456.
88. Williams M.L. The stresses around a fault or crack in dissimilar media. Bull. Seismol. Soc. Am. 1959, 49:199-204.
89. Dundurs J. Edge-bonded dissimilar orthogonal elastic wedges under normal and shear loading. J. Appl. Mech. 1969, 36:650-652.
90. Rice J.R., Sih G.C. Plane problems of cracks in dissimilar media. J. Appl. Mech. 1965, 32:418-423.
91. Hutchinson J.W., Mear M., Rice J.R. Crack paralleling an interface between dissimilar materials. J. Appl. Mech. 1987, 54:828-832.
92. Malysev B.M., Salganik R.L. The strength of adhesive joints using the theory of cracks. Int. J. Fract. 1965, 1:114-127.
93. Sun C.T., Jih C.J. On strain energy release rate for interfacial cracks in bimaterial media. Eng. Fract. Mech. 1987, 28:13-20.
94. Comninou M. Interface crack with friction in the contact zone. J. Appl. Mech. 1977, 44:780-781.
95. Comninou M., Dundurs J. Effect of friction on the interface crack loaded in shear. J. Elast. 1980, 10:203-212.
96. Sun C.T., Qian W. The use of finite extension strain energy release rates in fracture of interfacial cracks. Int. J. Sol. Struct. 1997, 34:2595-2609.
97. Rice J.R. Elastic fracture mechanics concepts for interficial cracks. J. Appl. Mech. 1988, 55:98-103.
98. Gautsen A.K., Dundurs J. The interface crack in a tension field. J. Appl. Mech. 1987, 54:93-98.
99. Irwin G.R. Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 1957, 24:361-364.
100. Matos P.P.L., McMeeking R.M., Charalamibides P.G., Drory D. A method for calculating stress intensities in bimaterial fracture. Int. J. Fract. 1989, 40:235-254.
101. Cao H.C., Evans A.G. An experimental study of the fracture-resistance of bimaterial interfaces. Mech. Mater. 1989, 7:295-304.
102. Hutchinson J.W., Suo Z. Mixed mode cracking in layered materials. Adv. Appl. Mech. 1992, 29:63-187.
103. He M.-Y., Hutchinson J.W. Kinking of a crack out of an interface. J. Appl. Mech. 1989, 56:270-278.
104. Sun C.T., Qian W. A treatment of interfacial cracks in the presence of friction. Int. J. Fract. 1998, 94:371-382.
105. Stringfellow R.G., Freund L.B. The effect of interfacial friction on the buckle-driven spontaneous delamination of a compressed thin film. Int. J. Sol. Struct. 1993, 30:1379-1395.
106. Deng X. Mechanics of debonding and delamination in composites: Asymptotic studies. Compos. Eng. 1995, 5:1299-1315.
107. Qian W., Sun C.T. Frictional interfacial crack under combined shear and compressive loading. Compos. Scie. Technol. 1998, 58:1753-1761.
108. Barenblatt G.I. The mathematical theory of equilibrium cracks in brittle fracture. Advances in Applied Mechanics 1962, Vol. 7:55-129. Academic Press, New York.
109. Jin Z.-H., Sun C.T. Cohesive fracture model based on necking. Int. J. Fract. 2005, 134:91-108.
110. Rose J.H., Ferrante J., Smith J.R. Universal binding energy curves for metals and bimetallic interfaces. Phys. Rev. Lett. 1981, 47:675-678.
111. Hahn G.T., Kanninen M.F., Rosenfield A.R. Ductile crack extension and propagation in steel foil. Fracture 1969 1969, 58-72. Chapman and Hall Ltd., London.
112. Rose L.R.F. Crack reinforcement by distributed springs. J. Mech. Phys. Sol. 1987, 35:383-405.
113. Courant R., Hilbert D. Methods of Mathematical Physics 1953, Interscience Publishers, New York.
114. Jin Z.-H., Sun C.T. Cohesive zone modeling of interface fracture in elastic bimaterials. Eng. Fract. Mech. 2005, 72:1805-1817.
115. Rice J.R. Mathematical analysis in the mechanics of fracture. Fracture 1968, Vol. 2:191-311. Academic Press, New York.
116. Needleman A. An analysis of tensile decohesion along an interface. J. Mech. Phys. Sol. 1990, 38:289-324.
117. Ortiz M., Pandolfi A. Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis. Int. J. Numer. Methods Eng. 1999, 44:1267-1282.
118. Tvergaard V., Hutchinson J.W. The influence of plasticity on mixed mode interface toughness. J. Mech. Phys. Sol. 1993, 41:1119-1135.
119. Hutchinson J.W., Suo Z. Mixed mode cracking in layered materials. Adv. Appl. Mech. 1992, 29:63-187.
120. Huang N.C. An estimation of the plastic zone size for a bimaterial interfacial crack. Eng. Fract. Mech. 1992, 41:935-938.
121. Lekhnitskii S.G. Theory of Elasticity of an Anisotropic Elastic Body 1963, Holden-Day, San Francisco, (translated by P. Fern).
122. Sih G.C., Liebowitz H. Mathematical theories of brittle fracture. Fracture 1968, Vol. 2:67-190. Academic Press, New York. H. Liebowitz (Ed.).
123. Weng G.J. Some elastic properties of reinforced solids with special reference to isotropic ones containing spherical inclusions. Int. J. Eng. Sci. 1984, 22:845-856.
124. Z.-H.Jin, N.Noda Crack-tip singular fields in nonhomogeneous materials. J. Appl. Mech. 1994, 61:738-740.
125. Williams M.L. On the stress distribuion at the base of a stationary crack. J. Appl. Mech. 1957, 24:109-114.
126. Eischen J.W. Fracture of nonhomogeneous materials. Int. J. Fract. 1987, 34:3-22.
127. Jin Z.-H., Batra R.C. Some basic fracture mechanics concepts in functionally graded materials. J. Mech. Phys. Sol. 1996, 44:1221-1235.
128. Jin Z.-H., Sun C.T. Integral representation of energy release rate in graded materials. J. Appl. Mech. 2007, 74:1046-1048.
129. Honein T., Herrmann G. Conservation laws in nonhomogeneous plane elastostatics. J. Mech. Phys. Sol. 1997, 45:789-805.
130. Delale F., Erdogan F. On the mechanical modeling of an interfacial region in bonded half-planes. J. Appl. Mech. 1988, 55:317-324.
131. Sih G.C. Mechanics of Fracture. Elastodynamic Crack Problems 1977, Vol. 4. Noordhoff International Publishing, Leyden.
132. Freund L.B. Dynamic Fracture Mechanics 1990, Cambridge University Press, Cambridge, UK.
133. Maue A.W. Die entspannungswelle bei plotzlichem Einschnitt eines gespannten elastischen Korpers. Zeitschrift fur angewandte Mathematik und Mechanik 1954, 34:1-12.
134. Sih G.C., Embley G.T., Ravera R.S. Impact response of a finite crack in plane extension. Int. J. Sol. Struct. 1972, 8:977-993.
135. Rice J.R. Mathematical analysis in the mechanics of fracture. Fracture 1968, Vol. 2:191-311. Academic Press, New York. H. Liebowitz (Ed.).
136. Freund L.B., Clifton R.J. On the uniqueness of plane elastodynamic solutions for running cracks. J. Elast. 1974, 4:293-299.
137. Nilsson F. A note on the stress singularity at a non-uniformly moving crack tip. J. Elast. 1974, 4:73-75.
138. Freund L.B. Crack propagation in an elastic solid subjected to general loading 2, nonuniform rate of extension. J. Mech. Phys. Sol. 1972, 20:141-152.
139. Nilsson F. Dynamic stress intensity factors for finite strip problems. Int. J. Fract. Mech. 1972, 8:403-411.
140. Kanazawa T., Machida S. Fracture dynamics analysis on fast fracture and crack arrest experiments. Fracture Tolerance Evaluation 1982, Toyoprint, Japan. T. Kanazawa, A.S. Kobayashi, K. Ido (Eds.).
141. Rosakis A.J., Freund L.B. Optical measurement of the plastic strain concentration at a crack tip in a ductile steel plate. J. Eng. Mater. Technol. 1982, 104:115-120.
142. Yoffe E.H. The moving Griffith crack. Philos. Mag. 1951, 42:739-750.
143. Gladwell G.M.L. On the solution of problems of dynamic plane elasticity. Mathematika 1957, 4:166-168.
144. Fan T.Y. Moving Dugdale model. Zeitschrift fur angewante Mathematik und Physik 1987, 38:630-641.
145. Atkinson C., Eshelby J.D. The flow of energy into the tip of a moving crack. Int. J. Fract. Mech. 1968, 4:3-8.