On the Ability of the Equivalent Material Concept in Predicting Ductile Failure of U-Notches under Moderate- and Large-Scale Yielding Conditions
Source abstract
Abstract
In the present research, first, the equivalent material concept (EMC), proposed originally by the first author to equate a ductile material with a virtual brittle material, was utilized in conjunction with two stressbased brittle fracture criteria, namely the point-stress (PS) and the mean-stress (MS) criteria, to develop two combined failure criteria capable of predicting tensile crack initiation from U-notches in ductile materials. Then, to verify the two failure criteria, several rectangular thin plates weakened by a central bean-shaped slit with two U-shaped ends and made of aluminum alloys Al 7075-T6 and Al 6061-T6 were tested under tension. Experimental observations indicated that Al 7075-T6 plates failed by moderate-scale yielding while Al 6061-T6 by largescale yielding. It was found that the EMC-MS criterion could predict the experimental results of both materials successfully. Meanwhile, the EMC-PS criterion was found to be accurate for moderate and large notch radii, particularly for Al 6061-T6 material.
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Research context
OpenAlex topics: Fatigue and fracture mechanics · Hydrogen embrittlement and corrosion behaviors in metals · High Temperature Alloys and Creep
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (34)
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1. Anderson, T.L., Fracture Mechanics: Fundamentals and Applications, Florida: CRC Press LLC, 1995.
2. Susmel, L. and Taylor, D., On the Use of the Theory of Critical Distances to Predict Static Failures in Ductile Metallic Materials Containing Different Geometrical Features, Eng. Fract. Mech., 2008, vol. 75, pp. 4410–4421.10.1016/j.engfracmech.2008.04.018 ↗
3. Torabi, A.R., Estimation of Tensile Load-Bearing Capacity of Ductile Metallic Materials Weakened by a V-Notch: The Equivalent Material Concept, Mater. Sci. Eng. A, 2012, vol. 536, pp. 249–255.10.1016/j.msea.2012.01.007 ↗
4. Torabi, A.R., Ultimate Bending Strength Evaluation of U-Notched Ductile Steel Samples under Large-Scale Yielding Conditions, Int. J. Fract., 2013, vol. 180, pp. 261–268.10.1007/s10704-013-9804-9 ↗
5. Torabi, A.R., The Equivalent Material Concept: Application to Failure of O-Notches, Eng. Solid. Mech., 2013, vol. 1, pp. 129–140.10.5267/j.esm.2013.09.005 ↗
6. Torabi, A.R., On the Use of the Equivalent Material Concept to Predict Tensile Load-Bearing Capacity of Ductile Steel Bolts Containing V-Shaped Threads, Eng. Fract. Mech., 2013, vol. 97, pp. 136–147.10.1016/j.engfracmech.2012.10.021 ↗
7. Creager, M. and Paris, P.C., Elastic Field Equations for Blunt Cracks with Reference to Stress Corrosion Cracking, Int. J. Fract. Mech., 1967, vol. 3, pp. 247–252.10.1007/BF00182890 ↗
8. Lazzarin, P. and Tovo, R., A Unified Approach to the Evaluation of Linear Elastic Fields in the Neighbourhood of Cracks and Notches, Int. J. Fract., 1996, vol. 78, pp. 3–19.10.1007/BF00018497 ↗
9. Ayatollahi, M.R. and Torabi, A.R., Brittle Fracture in Rounded-Tip V-Shaped Notches, Mater. Design, 2010, vol. 31, pp. 60–67.10.1016/j.matdes.2009.07.017 ↗
10. Ayatollahi, M.R. and Torabi, A.R., Tensile Fracture in Notched Polycrystalline Graphite Specimens, Carbon, 2010, vol. 48, pp. 2255–2265.10.1016/j.carbon.2010.02.041 ↗
11. Torabi, A.R., Fracture Assessment of U-Notched Graphite Plates under Tension, Int. J. Fract., 2013, vol. 181, pp. 285–292.10.1007/s10704-012-9799-7 ↗
12. Torabi, A.R., Fakoor, M., and Pirhadi, E., Tensile Fracture in Coarse-Grained Polycrystalline Graphite Weakened by a U-Shaped Notch, Eng. Fract. Mech., 2013, vol. 111, pp. 77–85.10.1016/j.engfracmech.2013.08.015 ↗
13. Torabi, A.R., Closed-Form Expressions of Apparent Notch Fracture Toughness for Key-Hole Notches, J. Strain Anal. Eng. Design, 2014, vol. 49, no. 8, pp. 583–591.10.1177/0309324714541882 ↗
14. Torabi, A.R. and Amininejad, SH., Brittle Fracture in VNotches with End Holes, Int. J. Damage Mech., 2015, vol. 24, no. 4, pp. 529–545.10.1177/1056789514538293 ↗
15. Torabi, A.R. and Abedinasab, S.M., Fracture Study on Key-Hole Notches under Tension: Two Brittle Fracture Criteria and Notch Fracture Toughness Measurement by the Disk Test, Exp. Mech., 2015, vol. 55, pp. 393–401.10.1007/s11340-014-9949-0 ↗
16. Susmel, L. and Taylor, D., The Theory of Critical Distances to Predict Static Strength of Notched Brittle Components Subjected to Mixed-Mode Loading, Eng. Fract. Mech., 2008, vol. 75, pp. 534–550.10.1016/j.engfracmech.2007.03.035 ↗
17. Taylor, D., Predicting the Fracture Strength of Ceramic Materials using the Theory of Critical Distances, Eng. Fract. Mech., 2004, vol. 71, pp. 2407–2416.10.1016/j.engfracmech.2004.01.002 ↗
18. Taylor, D., Merlo, M., Pegley, R., and Cavatorta, M.P., The Effects of Stress Concentrations on the Fracture Strength of Polymethylmethacrylate, Mater. Sci. Eng. A, 2004, vol. 382, pp. 288–294.10.1016/j.msea.2004.05.012 ↗
19. Seweryn, A., Brittle Fracture Criterion for Structures with Sharp Notches, Eng. Fract. Mech., 1994, vol. 47, pp. 673–681.10.1016/0013-7944(94)90158-9 ↗
20. Novozhilov, V.V., On Necessary and Sufficient Criterion of Brittle Fracture, Prikl. Mat. Mekh., 1969, vol. 33, pp. 212–222.
21. Standard Test Method for Tension Testing of Metallic Materials, ASTM E8, ASTM International, West Conshohocken, PA, 2013.
22. Standard Test Method for Poissons Ratio at Room Temperature, ASTM E132-04, ASTM International, West Conshohocken, PA, 2010.
23. Standard Practice for Fracture Toughnes’s Testing of Aluminum Alloys, ASTM B646-12, ASTM International, West Conshohocken, PA, 2012.
24. Lazzarin, P. and Zambardi, R., A Finite-Volume-Energy Based Approach to Predict the Static and Fatigue Behavior of Components with Sharp V-Shaped Notches, Int. J. Fract., 2001, vol. 112, pp. 275–298.10.1023/A:1013595930617 ↗
25. Gomez, F.J., Elices, M., Berto, F., and Lazzarin, P., Local Strain Energy to Assess the Static Failure of U-Notches in Plates under Mixed Mode Loading, Int. J. Fract., 2007, vol. 145, pp. 29–45.10.1007/s10704-007-9104-3 ↗
26. Gomez, F.J., Elices, M., Berto, F., and Lazzarin, P., A Generalized Notch Stress Intensity Factor for U-Notched Components Loaded under Mixed Mode, Eng. Fract. Mech., 2008, vol. 75, pp. 4819–4833.10.1016/j.engfracmech.2008.07.001 ↗
27. Gomez, F.J., Elices, M., Berto, F., and Lazzarin, P., Fracture of V-Notched Specimens under Mixed Mode (I+II) Loading in Brittle Materials, Int. J. Fract., 2009, vol. 159, pp. 121–135.10.1007/s10704-009-9387-7 ↗
28. Gomez, F.J., Elices, M., Berto, F., and Lazzarin, P., Fracture of U-Notched Specimens under Mixed Mode: Experimental Results and Numerical Predictions, Eng. Fract. Mech, 2009, vol. 76, pp. 236–249.10.1016/j.engfracmech.2008.10.001 ↗
29. Berto, F., Lazzarin, P., Gomez, F.J., and Elices, M., Fracture Assessment of U-Notches under Mixed Mode Loading: Two Procedures Based on the Equivalent Local Mode I Concept, Int. J. Fract., 2007, vol. 148, pp. 415–433.10.1007/s10704-008-9213-7 ↗
30. Berto, F., Lazzarin, P., and Marangon, C., Brittle Fracture of U-Notched Graphite Plates under Mixed Mode Loading, Mater. Design, 2012, vol. 41, pp. 421–432.10.1016/j.matdes.2012.05.022 ↗
31. Gomez, F.J., Elices, M., and Valiente, A., Cracking in PMMA Containing U-Shaped Notches, Fat. Fract. Eng. Mater. Struct., 2000, vol. 23, pp. 795–803.10.1046/j.1460-2695.2000.00264.x ↗
32. Gomez, F.J. and Elices, M., A Fracture Criterion for Sharp V-Notched Samples, Int. J. Fract., 2003, vol. 123, pp. 163–175.10.1023/B:FRAC.0000007374.80996.a2 ↗
33. Gomez, F.J., Guinea, G.V., and Elices, M., Failure Criteria for Linear Elastic Materials with U-Notches, Int. J. Fract., 2006, vol. 141, pp. 99–113.10.1007/s10704-006-0066-7 ↗
34. Cendon, D.A., Torabi, A.R., and Elices, M., Fracture Assessment of Graphite V-Notched and U-Notched Specimens by Using the Cohesive Crack Model, Fat. Fract. Eng. Mater. Struct., 2015, vol. 38, pp. 563–573.10.1111/ffe.12264 ↗