Abstract
Elastic-Plastic Fracture Mechanics (EPFM) is often used for the integrity assessment of components made from ductile materials. It offers two fracture criterions viz., the J-integral and Crack Tip Opening Displacement (CTOD) which predicts the onset of unstable crack growth in ductile materials or materials undergoing significant plastic deformation. Hence the measurement of these parameters is vital. After presenting a brief introduction to the J-integral, CTOD and the relationship between these two parameters, the basic technique for measuring the J-integral for mode I problem through numerical simulation for is illustrated. The objective of this work is to critically assess the viability of the aforementioned fracture parameters in the integrity assessment of structures. A number of differences and similarities that exists between these two parameters in terms of quality and measurement methods as given in the standards (such as American Society for Testing and Materials and British Standards Institution) is brought out in this work. In addition, the misconceptions detained about the elastic-plastic fracture parameters is discussed.
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References
Anderson TL (2005) Fracture mechanics—fundamentals and applications, 3rd edn. Taylor and Francis Group, Florida
Gdoutos EE (2003) Crack tip plastic zone according to Irwin’s model. In: Gdoutos EE, Rodopoulos CA, Yates JR (eds) Problems of fracture mechanics and fatigue. Springer, Dordrecht, pp 95–97
Dugdale S (1960) Yielding of steel sheets containing slits. J Mech Phys Solids 8:100–104
Broek D (1982) Elementary engineering fracture mechanics, 3rd edn. Kluwer Academic Publisher, The Netherlands
Barenblatt GJ (1962) The mathematical theory of equilibrium cracks in brittle fracture. Adv Appl Mech 7:55–129
Sarsoza DFB, Ruggieri C (2015) Experimental validation of relationship between fracture parameters J and CTOD for SE(B) and SE(T) specimens during ductile crack growth. Mar Syst Ocean Technol 10:60–70
Lu ML, Chiou KC, Chang FC (1996) Elastic-plastic fracture toughness of PC/ABS blend based on CTOD and J-Integral methods. Polymer 7(19):4289–4297
Shih CF, deLorenzi HG, Andrews WR (1979) Studies on crack initiation and stable crack growth. In: Landes JD, Begley JA, Clarke GA (eds) Elastic-plastic fracture, ASTM STP 668, American Society for Testing and Materials, pp 65–120
Dawes MG (1979) Elastic-plastic fracture toughness based on the COD and J-contour integral concepts. In: Landes JD, Begley JA, Clarke GA (eds), Elastic-plastic fracture, ASTM STP 668, American Society for Testing and Materials, pp 307–333
ASTM E1820-01 Standard test method for measurement of fracture toughness, ASTM International
Shih CH (1981) Relationships between the J-Integral and the Crack opening displacement for stationary and extending cracks. J Mech Phys Solids 29(4):305–326
Tagawa T, Kayamori Y, Ohata M, Handa T, Kawabata T, Yamashita Y, Tsutsumi K, Yoshinari H, Aihara S, Hagihara Y (2010) Comparison of CTOD standards: BS7448-Part I and revised ASTM E1290. Eng Fract Mech 77:327–336
Bathe KJ (2014) Finite element procedures, 2nd edn. Prentice Hell, Pearson Education, New Jersey
Mohammadi S (2008) Extended finite element method for fracture analysis of structures. Blackwell Publishing Ltd., Singapore
Rao SS (2004) The Finite element method in engineering 4th Edn. Elsevier Sci Technol Books
Hrnjica B, Islamović F, Gačo D, Bajramović E (2016) Numerical calculation of J-integral using finite elements method. In: 7th international scientific conference on defensive technologies, 6–7 Oct. 2016, Belgrade, Serbia
Moon DH, Lee JS, Lee JM, Kim MH (2014) Validation on the relationship between J integral and CTOD for offshore structural steel weldments by experimental and numerical analyses. In: Proceedings of the ASME 2014 international mechanical engineering congress and exposition IMECE2014, November 14–20, 2014, Montreal, Quebec, Canada
Shi Y, Sun S, Murakawa H, Ueda Y (1998) Finite element analysis on relationships between the J-integral and CTOD for stationary cracks in welded tensile specimens. Int J Press Vessels Pip 75:197–202
Bomidi JAR, Sadeghi F (2014) Three-dimensional finite element elastic-plastic model for subsurface initiated spalling in rolling contacts. J Tribol 136:1–14
Validation of contour integral functions (J and C(t)) in ABAQUS v6.11-v6.14 for combined mechanical and residual
ABAQUS (2014) Version 6.14 User’s Manual, DassaultSystèmesSimulia Corp.; Providence, RI, USA
Dodds RH Jr, Carpenter WC, Sorem WA (1988) Numerical evaluation of A 3-D J-integral and comparison with experimental results for a 3-point bend specimen. Eng Fract Mech 29(3):275–285
Graba M (2017) Proposal of the hybrid solution to determining the selected fracture parameters for SEN(B) specimens dominated by plane strain. Bull Pol Acad Sci Tech Sci 65(4):523–532
Begley JA, Landes JD (1972) The J integral as a fracture criterion fracture toughness. In: Proceedings of the 1971 national symposium on fracture mechanics, Part 11, ASTM STP 514, American Society for Testing and Materials, pp 1–20
Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35:379–386
Sorem WA, Dodds RH, Jr, Rolfe ST (1991) A comparison of the J-integral and CTOD parameters for short crack specimen testing. In: Joyce JA (ed), Elastic-plastic fracture test methods: the user’s experience (Second Volume), ASTM STP 1114, American Society for Testing and Materials, Philadelphia, pp 19–41
DRAFT NOTE—J.T. Martin—OGBM/3, R.W.J. Koers—OGBM/3, CTOD versus J-Integral as a fracture parameter, 25042001—SINTAP, April 8 (1998)
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Subramanian, R.H., Arunkumar, S., Jithin, S., Bollineni, R.K. (2019). A Critical Assessment of J-Integral and CTOD as Fracture Parameters. In: Kumar, M., Pandey, R., Kumar, V. (eds) Advances in Interdisciplinary Engineering . Lecture Notes in Mechanical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-13-6577-5_41
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