Abstract
Laboratory testing of fracture specimens to measure resistance curves (J − Δa) have focused primarily on the unloading compliance method using a single specimen. Current estimation procedures (which form the basis of ASTM E1820 standard) employ load line displacement (LLD) records to measure fracture toughness resistance data incorporating a crack growth correction for J. An alternative method which potentially simplifies the test procedure involves the use of crack mouth opening displacement (CMOD) to determine both crack growth and J. However, while the J-correction for crack growth effects adopted by ASTM standard holds true for resistance curves measured using load line displacement (LLD) data, it becomes unsuitable for J-resistance measurements based upon the specimen response defined in terms of load-crack mouth opening displacement (CMOD). Consequently, direct application of the evaluation procedure for J derived from LLD records in laboratory measurements of resistance curves using CMOD data becomes questionable. This study provides further developments of the evaluation procedure for J in cracked bodies that experience ductile crack growth based upon the eta-method and CMOD data. The introduction of a constant relationship between the plastic components of LLD (Δ p ) and CMOD (V p ) drives the development of a convenient crack growth correction for J with increased loading when using laboratory measurements of P-CMOD data. The methodology broadens the applicability of current standards adopting the unloading compliance technique in laboratory measurements of fracture toughness resistance data (J resistance curves). The developed J evaluation formulation for growing cracks based on CMOD data provides a viable and simpler test technique to measure crack growth resistance data for ductile materials.
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References
American Society for Testing and Materials (2000) Standard test methods for tension testing of metallic materials [Metric]. ASTM E8M-00b
American Society for Testing and Materials (2001) Standard test method for measurement of fracture toughness. ASTM E1820
Anderson TL (2005) Fracture mechanics: fundaments and applications, 3rd edn. CRC Press, Boca Raton
American Petroleum Institute (2000) API Specification for 5L Line Pipe, 42nd edn
Bose W, Spinelli D, Hippert E, Cravero S, Ruggieri C (2007) Experimental measurements of crack growth resistance curves for a pipeline steel using SE(T) fracture specimens. In: 19th international congress of mechanical engineering—COBEM 2007, Brasília
Cravero S, Ruggieri C (2005) Correlation of fracture behavior in high pressure pipelines with axial flaws using constraint designed test specimens—Part I: plane-strain analyses. Eng Fract Mech 72: 1344–1360
Cravero S, Ruggieri C (2007) Estimation procedure of J-resistance curves for SE(T) fracture specimens using unloading compliance. Eng Fract Mech 74: 2735–2757
Ernst H, Paris PC, Landes JD (1981) Estimation on J-integral and tearing modulus T from a single specimen test record. In: Fracture mechanics 13th conference, ASTM STP 743, American Society for Testing and Materials, pp 476–502
Garwood SJ (1980) Measurement of crack growth resistance of A533B wide plate tests. In: Fracture mechanics, 12th Conference ASTM STP 700, American Society for Testing and Materials, Philadelphia, pp 271–295
Hippert E, Ruggieri C (2001) Experimental and numerical investigation of ductile crack extension in a high strength pipeline steel. In: ASME pressure vessel and piping conference, vol 430. American Society of Mechanical Engineers, New York, pp 385–392
Hutchinson JW (1983) Fundamentals of the phenomenological theory of nonlinear fracture mechanics. J Appl Mech 50: 1042–1051
Hutchinson JW, Paris PC (1979) Stability analysis of J-controlled crack growth. In: Elastic-plastic fracture, ASTM STP 668. American Society for Testing and Materials, Philadelphia, pp 37–64
Joyce JA (1996) Manual on elastic-plastic fracture: laboratory test procedures. ASTM Manual Series, MNL 27
Joyce JA, Link RE (1995) Effects of constraint on upper shelf fracture toughness. In: Reuter WG et al (eds) Fracture mechanics, vol 26, ASTM STP 1256. American Society for Testing and Materials, Philadelphia, pp 142–177
Joyce JA, Ernst H, Paris PC (1981) Direct evaluation of J-resistance curves from load displacement records. In: Fracture mechanics 12th conference, ASTM STP 700, American Society for Testing and Materials, pp 222–236
Joyce JA, Hackett EM, Roe C (1993) Effects of crack depth and mode loading on the J–R curve behavior of a high strength steel. In: Hackett EM et al (eds) Constraint effects in fracture, ASTM STP 1171. American Society for Testing and Materials, Philadelphia, pp 239–263
Kanninen MF, Popelar CH (1985) Advanced fracture mechanis. Oxford University Press, New york
Koppenhoefer K, Gullerud A, Ruggieri C, Dodds R, Healy B (1994) WARP3D: dynamic nonlinear analysis of solids using a preconditioned conjugate gradient software architecture. In: Structural Research Series (SRS) 596, UILU-ENG-94-2017, University of Illinois at Urbana-Champaign
Moran B, Shih CF (1987) A general treatment of crack tip contour integrals. Int J Fract 35: 295–310
Rice JR (1968) A path independent integral and the approximate analysis of strain concentration by notches and cracks. J Appl Mech 35: 379–386
Rice JR, Paris PC, Merkle JG (1973) Some further results of J-integral analysis and estimates. In: Progress in flaws growth and fracture toughness testing, ASTM STP 536, American Society for Testing and Materials, pp 231–245
Saxena A (1998) Nonlinear fracture mechanics for Engineers. CRC Press, Boca Raton
Sumpter JDG, Turner CE (1976) Method for laboratory determination of J c . Cracks and fracture, ASTM STP 601, American Society for Testing and Materials, pp 3–18
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Cravero, S., Ruggieri, C. Further developments in J evaluation procedure for growing cracks based on LLD and CMOD data. Int J Fract 148, 387–400 (2007). https://doi.org/10.1007/s10704-008-9211-9
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DOI: https://doi.org/10.1007/s10704-008-9211-9