Elastic-plastic mixed-mode fracture criteria and parameters

Lecture Notes in Applied and Computational Mechanics

Volumn 7, Issue , 2003, Pages 236-243

  Shlyannikov, Valery N ^a  

^a KAZAN STATE POWER ENGINEERING UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84880140218     PISSN: 16137736     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-45836-4     Document Type: Article

References (178)

1. Ahmad J, Leis BN, Kanninen MF (1986) Analysis of fatigue crack propagation under biaxial loading using an inclined strip yield zone model of crack tip plasticity. Fatigue Engng Mater Struct 9: 291-304
2. Anderson TL (1995) Elastic-plastic fracture mechanics. In: Fracture Mechanics. Fundamentals and Applications. CRC Press, pp. 139-181
3. Andrews RM, Garwood SJ (2001) An analysis of fracture under biaxial loading using the non-singular T-stress. Fatigue Fract Engng Mater Struct 23: 53-62
4. Andreykiv AE (1979) Fracture of quasibrittle body with cracks under complex stress state. Naukova Dumka Press, Kiev
5. Antolovich SD, Saxena A, Chanani CR (1975) A model for fatigue crack propagation. Engng Fract Mech 7: 649-652
6. Aoki S, Kishimoto K, Sakata M. (1981) Energy-release rate III elastic-plastic fracture problems. J Appl Mech 48: 825-829
7. Aoki S, Kishimoto K, Yoshida T, Sakata M (1987) A finite element study of the near crack tip deformation of a ductile material under mixed mode loading. J Mech Phys Solids 35: 431-455
8. Aravas N, McMeeking RM (1985) Finite element analysis of void growth near a blunting crack tip. J Mech Phys Solids 33: 25-49
9. Aravas N, McMeeking RM (1985) Microvoid growth and failure in the ligament between a hole and a blunt crack tip. Int J Fracture 29: 21-38
10. Au NN (1983) Safe-life analysis of structures subjected to general in-plane loadings. In: Proc. Int Conf Appl Mech Mater Struct, Freiburg, pp.23-37
11. Betegon C, Hancock JW (1991) Two-parameter characterization of elastic-plastic crack-tip fields. J Appl Mech 58: 104-110
12. Bhattacharjee D, Knott JF (1994) Ductile fracture in HYI00 steel under mixed mode I/mode II loading. Acta Metallurgica Materialia 42: 1747-1754
13. Birger IA (1977) A note criterion of fracture and plasticity Rep USSR Acad Sci Mech Solids 4: 143-150
14. Bolotin VV (1983) Equations of fatigue crack growth. Rep USSR Acad Sci Mech Solids 4: 153-160
15. Bolotin VV (1984) United models in fracture mechanics. Rep USSR Acad Sci Mech Solids 3: 127-137
16. Bolotin VV (1985) Energetic approach to description fatigue crack growth under nonuniaxial stress state. J Appl Mech Tech Phys 2: 136-143
17. Bradford R (1985) Elastic-plastic analysis and J-dominance of the double punch mode II fracture toughness specimen. Int J Fracture 29: 113-124
18. Braude NZ, Shkanov IN (1984) On conditions of material fracture under lowcycle loading. SOy Aeronaut 27:23-28
19. Brown MW, Miller KJ (1979) Initiation and growth of cracks in biaxial fatigue. Fatigue Fract Engng Mater Struct 1: 231-246
20. Brown MW, Miller KJ (1979) Two decades of progress in the assessment of multiaxial low-cycle fatigue life. In: Amzallag C, Leis BN, Rabbe P (eds.) LowCycle Fatigue and Life Prediction. ASTM STP 770, ASTM, Philadelphia, P A, pp 482-499
21. Brown MW, Miller KJ (1985) Mode I fatigue crack growth under biaxial stress at room and elevated temperature. In: Miller KJ, Brown MW (eds.) Multiaxial Fatigue. ASTM STP 853, ASTM, Philadelphia, PA, pp 135-152
22. Buchhols F.-G, Pirro PJM, Richard HA, Dreyer K-H (1987) Numerical and experimental mixed-mode analysis of a compact tension-shear specimen. In Luxmoore AR, Owen DRJ, Rajapakse, Kanninen MF (eds.) Proc Fourth Int Conf Numerical Methods in Fracture Mechanics, San Antonio, Texas, USA, 641-656
23. Budden PJ (1987) The stress field near a blunting crack tip under mixed modes 1 and 2. J Mech Phys Solids 35: 457-478
24. Budden PJ (1988) The effect of blunting on the strain field at a crack tip under mixed modes 1 and 2. J Mech Phys Solids 36: 503-518
25. Budiansky B, Rice JR (1973) Conservations laws and energy-release rates. J Appl Mech 3: 201-203
26. Burak MI, Kaidalov VB, Pichkov SN et all (1988) Experimental study of cyclic crack resistance for pressure vessels in tests on large-scale models. Appl. Problems Strength & Plasticity. Methods for Solution, pp.115-122
27. Carpinteri A, Brighenti R. (1998) Circumferential surface flaws in pipes under cyclic axial loading. Engng Fract Mech 60: 383-396
28. Chao Y-J, Zhu X-K (1999) A simple theory for describing the transition between tensile and shear mechanisms in mode I, II, III and mixed-mode fracture. In: Miller KJ, McDowell DL (eds.) Mixed-Mode Crack Behavior. ASTM STP 1359, ASTM, Philadelphia, PA, pp 41-57
29. Chen WR, Keer LM (1991) Fatigue crack growth in mixed mode loading. Trans ASME J Engng Mater Tech 7: 41-47
30. Cheng-Ti Chou, Chao-Pu Kuo (1982) An analysis of the mixed-type stress field near a crack-tip region. Engng Fract Mech 16: 35-46
31. Clayton JQ, Knott JF (1982) Phosphorus segregation in austenite in Ni-Cr and Ni-Cr-Mn steels. Metal Sci 16: 145-152
32. Collins JA (1981) Failure of materials in mechanical design. Wiley, New York
33. Dalle Donne C (1999) The crack tip displacement vector approach to mixedmode fracture. In: Miller KJ, McDowell DL (eds.) Mixed-Mode Crack Behavior. ASTM STP 1359, ASTM, Philadelphia, PA, pp 21-40
34. Dalle Donne C, Doker H (1997) Plane stress crack resistance curves biaxial loading. In: Kalluri S, Bonacuse PJ (eds.) Multiaxia1 Fatigue and Deformation Testing Techniques. ASTM STP 1280, ASTM, Philadelphia, PA, pp 243-263
35. Dhirendra VK, Narasimhan R (1998) Mixed-mode steady-state crack growth in elastic-plastic solids. Engng Fracture Mech 59: 543-559
36. Dolgorukov VA (1988) Elastic-plastic problem for determination of singular stress-strain-state at inclined crack tip under plane stress conditions. VINITI 4340-V88 (in Russian), pp. I-21
37. Eftis J (1977) Biaxial load effects on the crack boarder elastic strain energy and strain energy rate. Engng Fract Mech 9: 753-764
38. Eftis J (1987) Load biaxiality and fracture: a two-sided history of complementing errors. Engng Fract Mech 26: 567-592
39. Eftis J (1987) On the fracture stress for the inclined crack under biaxial load. Engng Fract Mech 26: 105-125
40. Eftis J, Jones D (1982) Influence of load biaxiality on the fracture load of center cracked sheets. Int J Fract 20: 267-289
41. Eftis J, Subramonian N (1978) The inclined crack under biaxial load. Engng Fract Mech 10: 43-67
42. Eftis J, Subramonian N, Liebowitz H (1977) Crack border stress and displacement equations revisited. Engng Fract Mech 9: 189-210
43. Ellin F (1985) The effect of tensile-mean-strain on plastic strain energy and cyclic response. Trans ASME J Engng Mater Tech 107: 25-32
44. Ellin F (1986) Crack growth rate under cyclic loading and effect of singularity fields. Engng Fract Mech 25: 463-473
45. Ellin F, Golos K (1988) Multiaxial fatigue damage criterion. Trans ASME J Engng Mater Tech 1: 63-74
46. Faleskog J, Gao X, Shih CF (1998) Cell model for nonlinear fracture analysis-I. Micromechanics calibration. Int J Fracture 89: 355-373
47. Fischer K-F (1984) Bruchkriterien bei statischer und schwingender Beanspruchung. Tech Mech 5: 26-30
48. Forsyth PIE (1961) Two-stage process of fatigue-crack growth. In Proc. Crack Propagation Symp, Cranfield, England, pp.76-94
49. Gao H, Alagok N, Brown MW, Miller KJ (1985) Growth of fatigue cracks under combined mode I and II loads. In: Brown MW, Miller KJ (eds.) Multiaxial Fatigue ASTM STP 853, ASTM, Philadelphia, PA, pp.184-202
50. Gao H, Brown MW, Miller KJ (1982) Mixed-mode fatigue thresholds. Fatigue Engng Mater Struct 5: 1-17
51. Gao H, De Los Rios ER, Miller KJ (1983) Mixed-mode fracture mechanisms near the fatigue thresholds of AISI 316 stainless stell. Fatigue Engng Mater Struct 6: 137-147
52. Gao X, Faleskog J, Shih CF (1998) Cell model for nonlinear fracture analysis-II. Fracture process calibration. Int J Fracture 89: 375-398
53. Gao X, Shih CF (1998) A parametric study of mixed-mode IIIII ductile fracture in tough materials under small scale yielding. Engng Fract Mech 60: 407-420
54. Gdoutos EE (1987) Mixed-mode crack growth predictions. Engng Fract Mech 28: 211-221
55. Ghosal AK, Narasimhan R (1996) Mixed-mode fracture initiation in a ductile material with a dual population of second-phase particles. Mater Science Engng. A, Struct Mater 211: 117-127
56. Ghosal AK, Narasimhan R (1996) Numerical simulations of hole growth and ductile fracture initiation under mixed-mode loading. Int J Fracture 77: 281-304
57. Ghosal AK, Narasimhan R (1997) A finite element study of the effect of void initiation and growth on mixed-mode ductile fracture. Mech Mater 25: 113-127
58. Glinka G, Robin C, Pluvinage G, Chehimi C (1984) A cumulative model of fatigue crack growth and the crack close effect. Int J Fatigue 6: 37-47
59. Golos K, Ellin F (1988) A total strain energy density for cumulative fatigue damage. Trans ASME J Pressure Vessel Tech 1: 36-44
60. Gurson AL (1977) Continuum theory of ductile rupture by void nucleation and growth: Part I-Yield criteria and flow rules for porous ductile media. J Eng. Matcr Tcch 99: 1-16
61. Hamada N, Sakane K, Ohmany S (1984) Investigation of the criterion oflow cycle fatigue fracture in case biaxial stress under high temperature. Nih Kik Gakk Romb A50: 1838-1844
62. Hancock JW, Cowling MJ (1980) Role of state of stress in crack-tip failure processes. Metal Sci 12: 293-304
63. Henn K, Richard HA, Linning W (1988) Fatigue crack growth under mixed mode and mode II cyclic loading. In Gzoboly E (ed.) Proc. i h European Conference on Fracture, Budapest, pp.11 04-1113
64. Hilton PD, Hutchinson JW (1971) Plastic intensity factors for cracked plates. Engng Fract Mech 3: 435-451
65. Hilton PD, Sih GS (1973) Applications of the finite element method to the calculations of stress intensity factors. In: Mechanics of Fracture. Methods of Analysis and Solution of Crack Problems. V. I, pp 426-483
66. Horng JL, Fine ME (1983) Near threshold mixed mode 1-2 fatigue crack propagation: parallel superposition model. Scripta Metal 17: 1427-1430
67. Hoshide T, Socie DF (1987) Mechanics of mixed mode small fatigue crack growth. Engng Fract Mech 26: 841-850
68. Hutchinson JW (1968) Plastic stress and strain fields at a crack tip. J Mech Phys Solids 16: 337-347
69. Hutchinson JW (1968) Singular behaviour at the end of a tensile crack in a hardening material. J Mech Phys Solids 16: 13-31
70. Hutchinson JW (1983) Fundamentals of the phenomenological theory of nonlinear fracture mechanics. J Appl Mech 50: 1042-1051
71. Iida C, Koboyashi A (1969) Crack growth rate in 7075-T6 plate under cyclic tension and shear loading. Trans ASME J Engng Mater Tech 4: 210-214
72. Jeng YS, Shah SP (1988) Mixed-mode fracture of concrete. Int J Fract 38: 123-142
73. Jun S, Zengjie D, Zhonghua L, Mingjing T (1989) Constraint intensity in crack tip field and elastic-plastic fracture criterion. Engng Fract Mech 34: 413-418
74. Jun S, Zengjie D, Zhonghua L, Mingjing T (1989) Effect of stress triaxiality in crack tip field on validity of J-dominance. Engng Fract Mech 34: 637-643
75. Kandil T A, Brown MW, Miller KJ (1982) Biaxial low-cycle fatigue of 316 stainless steel at elevated temperatures. In Book 280, The Metals Society, London, pp.203-21O
76. Kitagava H, Yuuki R, Tohgo K, Tanabe M (1985) L',. K-Dependency of fatigue growth of single and mixed mode cracks under biaxial stress. In: Miller KJ, Brown MW (eds.) Multiaxial Fatigue. ASTM STP 853, ASTM, Philadelphia, PA, pp 164-183
77. Knott JF (1974) Fundamentals of fracture mechanics. Butterworths, London 78. Krasowski A Y (1980) Brittleness of Metals at Low Temperatures. Naukova Dumka Press, Kiev
78. Krasowski A Y, Pluvinage G (1994) The structure parameters governing the fracture toughness of structural materials. Strength Mater No.1: 18-30
79. Kujawski D, Ellin F (1986) On the size of plastic zone ahead of crack tip. Engng Fract Mech 25: 229-236
80. Kujawski D, Ellin F (1987) A fatigue crack growth model with load ratio effects. Engng Fract Mech 28: 367-378
81. Larsson SG, Carlsson AJ (1973) Influence of non-singular stress terms and specimen geometry on small-scale yielding at crack tips in elastic-plastic materials. J Mech Phys Solids 21: 263-272
82. Laukkanen A, Wallin K, Rintamaa R (1999) Evaluation of the effects of mixed mode I-II loading on elastic-plastic ductile fracture of metallic materials. In: Miller KJ, McDowell DL (eds.) Mixed-Mode Crack Behavior. ASTM STP 1359, ASTM, Philadelphia, PA, pp 3-20
83. Leevers PS, Radon JC (1982) Inherent stress biaxiality in various fracture specimen geometries. Int J Fracture 19: 311-325
84. Letunov VI, Shulginov BS, Plungrova I et all (1985) Regularities in development of surface cracks in low-alloy steel under asymmetric cyclic bending. Communication I. Strength Mater 11: 41-46
85. Li J (1998) Estimation of the mixity parameter of a plane strain elastic-plastic crack by using the associated l-integral. Engng Fract Mech 61: 355-368
86. Lin G, Comec A, Schwalbe KH (1994) Two-parameter characterization of crack front fields in thin ductile center-cracked geometries. In Schwalbe KH, Berger C (eds.) Proc 10th Biennial European Conference on Fracture, Berlin, pp.349-355
87. Lin XB, Smith RA (1998) Fatigue shape analysis for comer cracks at fastener holes. Engng Fract Mech 59: 73-87
88. Liu YY, Lin FS (1984) A mathematical equation relating low cycle fatigue data to fatigue crack propagation. Int J Fatigue 6: 31-36
89. Lukiyanov VF, Naprasnikov VV, Korobtsov AS (1988) Kinetics of surface crack front variation under axisymmetrical bending. Strength Mater 7: 8-13
90. Maccagno TM, Knott J. F (1991) The low temperature brittle fracture behaviour of steel in mixed modes I and II. Engng Fract Mech 38: 111-128
91. Makhutov NA (1981) Deformation criteria of fracture and calculation elements structure strength. Mashinostroenie Press, Moscow
92. McClintock FA (1968) A criterion for ductile fracture by growth of holes. J Appl Mech 35: 324-334
93. McMeeking RM (1977) Finite deformation analysis of crack-tip opening in elastic-plastic materials and implications for fracture. J Mech Phys Solids 25: 357-381
94. Miller KJ (1977) Fatigue under complex stress. Metal Sci Aug. lSept: 432-438
95. Miller KJ (1999) The mechanics and materials approach to fatigue problems in engineering. In: Beynon JH et al (eds.) Engineering Against Fatigue, Balkema, Rotterdam, Brookfield, pp. l-16
96. Miller KJ, Brown MW, Yates JR (1999) Some observations on mixed-mode fatigue behavior of polycrystalline metals. In: Miller KJ, McDowell DL (eds.) Mixed-Mode Crack Behavior. ASTM STP 1359, ASTM, Philadelphia, PA, pp 229-257
97. Mowbray DF (1980) A hydrostatic stress-sensitive relationship for fatigue under biaxial stress conditions. J Test Eval 8: 3-8
98. Murakami Y (1987) Stress Intensity Factors Handbook. Pergamon Press, Oxford
99. Nair PK (1979) Fatigue crack growth model for part-through flaws in plates and pipes. Trans. ASME, 101: 54-60
100. Narasimhan R, Rosakis AJ (1988) A finite element analysis of small-scale yielding near a stationary crack under plane stress. J Mech Phys Solids 36: 77-117
101. Neeldeman A, Tvergaard V (1987) An analysis of ductile rupture modes at a crack tip. J Mech Phys Solids 35: 151-183
102. Neville DJ (1988) On the distance criterion for failure at the tips of crack, minimum fracture toughness, and non-dimensional toughness parameters. J Mech Phys Solids 36: 443-457
103. Newman JC, Raju IS (1983) Stress intensity factor equations for cracks in threedimensional-finite bodies. Proceedings of the 14th National Symposium on Fracture Mechanics, Los Angeles, 1981. ASTM STP 791, pp. 238-265
104. O'Dowd NP, Shih CF (1991) Family of crack-tip fields characterized by a triaxiality parameter-I. Structure of fields. J Mech Phys Solids 39: 989-1015
105. Otsuka A (1977) Fatigue crack growth. Proc. Japan National Symposium on Strength, Fracture and Fatigue, Tokyo, pp. 1-27
106. Panasjuk VV, Berezhnitskij LT, Gromjak RS (1976) On the effect of material structure upon crack propagation in the process of body tension. Dokl Akad Nauk Ukr 9: 811-816
107. Pandey RK, Patel AB (1984) Mixed-mode fatigue crack growth under biaxial loading. Int J Fatigue 6: 119-123
108. Papadopulos GA (1988) Crack initiation under biaxial loading. Engng Fract Mech 29: 585-598
109. Pisarenko GS, Lebedev AA (1976) Deformation and strength of materials under complex stress state. Naukova Dumka Press, Kiev
110. Pook LD (1995) On fatigue crack paths. Int J Fatigue 17: 5-13
111. Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35: 379-386
112. Rice JR (1974) Limitations to the small scale yielding approximation for crack tip plasticity. J Mech Phys Solids 22: 17-26
113. Rice JR, Johnson MA (1970) On the large geometric change at the crack tip. In: Kanninen M (ed.) Inelastic Behavior of Solids. McGraw-Hill, NY, pp.641-655
114. Rice JR, Rosengren GF (1968) Plane strain deformation near a crack tip in power law hardening material. J Mech Phys Solids 16: 1-12
115. Rice JR, Tracey DM (1969) On the ductile enlargement of voids in triaxial stress fields. J Mech Phys Solids 17: 201-217
116. Richard HA (1985) Bruchvorhersagen bei Uberlagerter Normal-und Schubbeanspruchung uon Rissen. VDI Verlag, Dusseldorf
117. Richard HA (1985) Bruchvorhersagen bei uberlagerter normal-und schubbeanspruchung von rissen. VD I F orscungsheft N 631, VD I-Verlag, Dusseldorf
118. Richard HA, Benitz K (1983) A loading device for the creation of mixed mode in fracture mechanics. Int J Fract 22: R55-R58
119. Ritchie RO, Knott JF, Rice JR (1973) On the relationship between critical tensile stress and fracture toughness in mild steel. J Mech Phys Solids 21: 395-410
120. Ritchie RO, Server WL, Wullaert RA (1979) ICM3, 3: 489
121. Roberts R, Kibler JJ (1971) Mode II fatigue crack propagation. Trans ASME J Basic Engng 93: 671-680
122. Rooke DR, Cartwrigth DJ (1976) Compendium of stress intensity factors. HMSO, London
123. Roy YA, Narasimhan R (1997) J-Dominance in Mixed Mode Ductile Fracture Specimens. Int J Fract 88: 259-279
124. Roy YA, Narasimhan R (1999) A finite element investigation of the effect of crack tip constraint on hole growth under mode I and mixed mode loading. Int J Solids Structures 36: 1427-1447
125. Sharma SM, Aravas N (1991) Determination of higher-order terms in asymptotic elastoplastic crack tip solutions. J Mech Phys Solids 39: 1043-1072
126. Shih CF (1974) Small-scale yielding analysis of mixed plane strain crack problem. In: Fracture Analysis ASTM STP 560, ASTM, Philadelphia, PA, pp 187-210
127. Shih CF (1985) J-dominance under plane strain fully plastic conditions: the edge crack panel subject to combined tension and bending. Int J Fracture 29: 73-84
128. Shih CF, German MD (1981) Requirements for a one parameter characterization of crack tip fields by the HRR singularity. Int J Fracture 17: 27-43
129. Shih CF, Xia L (1995) Modeling crack growth resistance using computational cells with microstructurally-based length scales. In: Kirk M, Bakker A (eds.) Constraint Effects in Fracture: Theory and Applications. ASTM STP 1244, ASTM, Philadelphia, PA, pp.163-190
130. Shkanov IN, Shlyannikov VN, Braude NZ (1980) A note on the criterial analysis oflimiting strains under complex stress state. SOy Aeronaut 14: 98-101
131. Shlyannikov VN (1981) Fatigue life prediction of aircraft structures by crack resistance criteria depending on stress strain-state type and manufacturing processes. Ph.D. thesis, Kazan Aviation Institute
132. Shlyannikov VN (1990) Mixed-modes crack growth under complex stress strain state (Review). Indust Labor 56: 77-90
133. Shlyannikov VN (1994) Nonlinear fracture criterion for mixed modes under biaxial loading. In Peneau A (ed.) Proc. 4th International Conference on BiaxiallMultiaxial Fatigue, Paris, pp.75-88
134. Shlyannikov VN (1996) Modelling of crack growth by fracture damage zone. Theoret Appl Fract Mech 25: 187-210
135. Shlyannikov VN (1999) Mixed-mode static and fatigue crack growth in central notched and compact tension specimens. In: Miller KJ, McDowell DL (eds.) Mixed-Mode Crack Behavior. ASTM STP 1359, ASTM, Philadelphia, PA, pp 279-294
136. Shlyannikov VN, Braude NZ (1992) A model for predicting crack growth rate for mixed mode fracture under biaxial loads. Fatigue Fract Engng Mater Struct 15: 825-844
137. Shlyannikov VN, Dolgorukov VA (1987) A method of determining the cyclic cracking resistance characteristics for mixed forms of crack propagation. Industr Laborat 53: 749-754
138. Shlyannikov VN, Dolgorukov VA (1988) Analysis of the crack propagation under biaxial cyclic load taking into accounts their orientation. In Gzoboly E (ed.) Proc. 7th European Conference on Fracture, Budapest, pp.1095-1103
139. Shlyannikov VN, Dolgorukov V A (1989) Mixed mode of fracture under biaxial cyclic tension: methods and results. In Kussmaul K (ed.) Proc. 3td International Conference on BiaxiallMultiaxial Fatigue, Stuttgart, ppAO. I-40.20
140. Shlyannikov VN, Iltchenko BV (1993) Elastic stress intensity factors for disk and blade attachment of gas turbine engine. Strength Mater 2: 65-70
141. Shlyannikov VN, Iltchenko BV, Stepanov NV (2001) Fracture analysis of turbine disks and computational-experimental background of the operational decisions. Engng Failure Analysis 8: 461-475
142. Shlyannikov VN, Ivanishin NA (1983) Stress intensity factors for complex cracks under arbitrary direction loading. SOy. Aeronaut. 26: 64-69
143. Shlyannikov VN, Tchadaev AV, Kalatchev VA (1998) Fatigue fracture of power engineering structures. Fracture From Defects: ECF-12, 1: 375-380
144. Sih GC (1973) Handbook of stress intensity factors for researchers and engineers. Lehigh University, Bethlehem
145. Sih GC (1973) Some basic problems in fracture mechanics and new concepts. Engng Fract Mech 5: 365-377
146. Sih GC (1974) Strain-energy-density factor applied to mixed mode crack problems. Int J Fracture 10: 305-321
147. Sih GC, Barthelemy BM (1980) Mixed mode fatigue crack growth predictions. Engng Fract Mech 13: 439-451
148. Sih GC, Jeong DY (1990) Fatigue load sequence effect ranked by critical available energy density. Theoret Appl Fracture Mech 14: 141-151
149. Sih GC, Madenci E (1983) Crack growth resistance characterized by the strain energy density function. Engng Fract Mech 18: 1159-1171
150. Sih GC, Moyer ET (1983) Path dependent nature of fatigue crack growth. Engng Fract Mech 17: 269-280
151. Sih GC, Tzou DY (1986) Heating preceded by loading ahead of crack: macrodamage free zone. Theoret Appl Fracture Mech 6: 103-111
152. Smith EW, Pascoe KJ (1983) The behaviour of fatigue cracks subject to applied biaxial stress: a review of experimental evidence. Fatigue Engng Mater Struct 6: 201-224
153. Smith EW, Pascoe KJ (1985) Fatigue crack initiation and growth in a highstrength ductile steel subject to in-plane biaxial loading. In: Miller KJ, Brown MW (eds.) Multiaxial Fatigue. ASTM STP 853, ASTM, Philadelphia, PA, pp 111-134
154. Stepanov NV, Shkanov IN, Omelchenko VV (1985) Similarity of disk stress states and damage on multiaxial hydraulic test bed to those in service operation. Soviet Aeronautics 2: 95-98
155. Swankie TD, Smith DJ (1998) Low temperature mixed mode fracture of a pressure vessel steel subject to prior loading. Engng Fract Mech 61: 387-405
156. Tanaka K (1974) Fatigue crack propagation from a crack inclined to the cyclic tensile axis. Engng Fract Mech 6: 493-507
157. Tanaka K, Hoshide T, Yamada A, Taira S (1979) Fatigue crack propagation in biaxial stress fields. Fatigue Engng Mater Struct 2: 181-194
158. Tenhaeff D (1987) Untersuchungen zum Ausbreitungsverhalten von Rissen bei uberlagerter Normal-und Schubbeanspruchung. Ph.D. thesis, Universitat Kaiserslautem
159. Theocaris PS (1984) A Higher-Order Approximation for the T-Criterion of Fracture in Biaxial Fields. Engng Fract Mech 19: 975-991
160. Theocaris PS, Andrianopoulos NP (1982) A modified strain-energy density criterion applied to crack propagation. J Appl Mech 49: 81-86
161. Theocaris PS, Andrianopoulos NP (1982) The Mises Elastic-Plastic Boundary as the Core Region in Fracture Criteria. Engng Fract Mech 16: 425-432
162. Theocaris PS, Papadopoulos G (1982) The distribution of the Elastic StrainEnergy Density at the Crack Tip for Fracture Modes I and II. Int J Fracture 18: 81-112
163. Theocaris PS, Philippidis TP (1987) The T-criterion for ductile fractures in HRR plastic singular fields. Int J Fracture 35: 21-37
164. Troshchenko VT, PokrovskyVV, Kaplunenko VG (1997) Prediction of crack resistance for thermostable steels with taking into account specimen sizes. Communication
165. Experimental results. Strength Mater 1: 5-25
166. Tvergaard V (1982) Ductile fracture by cavity nucleation between larger voids. J Mech Phys Solids 30: 265-286
167. Tvergaard V, Hutchinson JW (1992) The relation between crack growth resistance and fracture process parameters in elastic-plastic solids. J Mech Phys Solids 40: 1377-1397
168. Ueda Y, Ikeda K, Yao T, Aoki M (1983) Characteristics of brittle fracture under general combined modes including those under biaxial tensile loads. Engng Fract Mech 18: 1133-1158
169. Van Mao Xua (1983) Mixed-mode fatigue crack growth. Guti Lixue Xuedao 4: 620-626
170. Varfolomeev IV, Vainshtok VA, Krasovsky A (1990) Criteria and stable growth forms of part-through cracks under cyclic loading. Communication 1. Strength Mater 8: 3-10
171. Varfolomeev IV, Vainshtok VA, Krasovsky A. (1990) Criteria and stable growth forms of part-through cracks under cyclic loading. Communication 2. Strength Mater 9: 11-17
172. Vladimirov VI (1984) A physical nature of metals fracture. Metallurgiya Press, Moscow
173. Williams ML (1957) On the stress distribution at the base of a stationary crack. J Appl Mech 24: 109-114
174. Wilson WK (1971) Numerical method for determinig stress intensity factors for an interior crack in a finite plate. Trans ASME, J Basic Engng 93: 685-690
175. Yarema SY (1988) Curvilinear crack propagation in plates. Rep USSR Acad Sci Mech Solids 2: 156-163
176. Yokobori AT, Yokobori T, Sato K (1985) Fatigue crack growth under mixed modes 1 and 2. Fatigue Engng Mater Struct 8: 315-325
177. Yokobori T, Otsuka A, Takahashi T (1963) Fracture of Solids. In Drucker DC (ed.) AIME, Interscience Publ
178. thBiennial European Conference on Fracture, Berlin, pp.493-503