Comparing Energy-Based Criterion with Strain-Based Criterion for Predicting Brittle Fracture in V-Shaped Notches under Mixed-Mode I/II Loading Conditions
Source abstract
Abstract
In this study, the ability of two criteria, the maximum tangential strain energy density criterion and the maximum tangential strain criterion for sharp V-shaped notches, were evaluated. These two criteria in the crack can be employed within the entire range of the mixed-mode loading from pure mode I to pure mode II and provide acceptable results. However, these criteria have been less examined for the notch. The outcomes of these criteria for V-shaped notches were then compared with each other and with experimental results. The results of both criteria for different notch vertex angles within a wide range of mixed-mode I/II loading showed good convergence with experimental results.
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Research context
OpenAlex topics: Fatigue and fracture mechanics · Structural Load-Bearing Analysis · Structural Behavior of Reinforced Concrete
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References (49)
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1. Volegov, P., Gribov, D., and Trusov, P., Damage and Fracture: Review of Experimental Studies, Phys. Mesomech., 2016, vol. 19, no. 3, pp. 319–331. https://doi.org/10.1134/S102995991603010310.1134/S1029959916030103 ↗
2. Sajjadi, S., Ghorabi, M.O.A., and Salimi-Majd, D., A Novel Mixed-Mode Brittle Fracture Criterion for Crack Growth Path Prediction under Static and Fatigue Loading, Fatig. Fract. Eng. Mater. Struct., 2015, vol. 38, no. 11, pp. 1372–1382.10.1111/ffe.12320 ↗
3. Sajjadi, S., Salimi-Majd, D., and Ghorabi, M.O.A., Development of a Brittle Fracture Criterion for Prediction of Crack Propagation Path under General Mixed Mode Loading, Eng. Fract. Mech., 2016, vol. 155, pp. 36–48.10.1016/j.engfracmech.2016.01.015 ↗
4. Lesiuk, G., Kucharski, P., Correia, J.A., de Jesus, A., Rebelo, C., and da Silva, L.S., Mixed Mode (I + II) Fatigue Crack Growth in Puddle Iron, Eng. Fract. Mech., 2017, vol. 185, pp. 175–192.10.1016/j.engfracmech.2017.05.002 ↗
5. Salimi-Majd, D., Shahabi, F., and Mohammadi, B., Effective Local Stress Intensity Factor Criterion for Prediction of Crack Growth Trajectory under Mixed Mode Fracture Conditions, Theor. Appl. Fract. Mech., 2016, vol. 5, pp. 207–216.10.1016/j.tafmec.2016.01.009 ↗
6. Koohbor, B., Rohanifar, M., and Kidane, A., Characterizing Fracture Response of Cracked Transversely Graded Materials, Compos. Struct., 2019, vol. 229, p. 111439.10.1016/j.compstruct.2019.111439 ↗
7. Ayatollahi, M., Torabi, A., and Rahimi, A., Brittle Fracture Assessment of Engineering Components in the Presence of Notches: A Review, Fatig. Fract. Eng. Mater. Struct., 2016, vol. 39, no. 3, pp. 267–291.10.1111/ffe.12379 ↗
8. Williams, M., Stress Singularities Resulting from Various Boundary Conditions in Angular Corners of Plates in Extension, J. Appl. Mech., 1952, vol. 19, no. 4, pp. 526–528.10.1115/1.4010553 ↗
9. Kalandiia, A., Remarks on the Singularity of Elastic Solutions near Corners, J. Appl. Math. Mech., 1969, vol. 33, no. 1, pp. 127–131.10.1016/0021-8928(69)90121-X ↗
10. Zappalorto, M. and Lazzarin, P., In-Plane and Out-of-Plane Stress Field Solutions for V-Notches with End Holes, Int. J. Fract., 2011, vol. 168, no. 2, pp. 167–180.10.1007/s10704-010-9567-5 ↗
11. Peron, M., Razavi, S.M.J., Berto, F., and Torgersen, J., Notch Stress Intensity Factors under Mixed Mode Loadings: An Overview of Recent Advanced Methods for Rapid Calculation, Fratt. Integr. Struttur., 2017, vol. 42, no. 11, pp. 196–204.10.3221/IGF-ESIS.42.21 ↗
12. Larrosa, N., Treifi, M., and Ainsworth, R., Rapid Parametric Analysis of SEN (T) Specimens Using Algorithmic Modelling: Evaluation of Strain Energy Density and Notch Stress Intensity Factors, Mater. Design., 2015, vol. 85, pp. 771–777.10.1016/j.matdes.2015.06.151 ↗
13. Carpinteri, A., Stress-Singularity and Generalized Fracture Toughness at the Vertex of Re-Entrant Corners, Eng. Fract. Mech., 1987, vol. 26, no. 1, pp. 143–155.10.1016/0013-7944(87)90086-5 ↗
14. Taylor, D., Predicting the Fracture Strength of Ceramic Materials Using the Theory of Critical Distances, Eng. Fract. Mech., 2004, vol. 71, nos. 16–17, pp. 2407–2416.10.1016/j.engfracmech.2004.01.002 ↗
15. Seweryn, A., Brittle Fracture Criterion for Structures with Sharp Notches, Eng. Fract. Mech., 1994, vol. 47, no. 5, pp. 673–681.10.1016/0013-7944(94)90158-9 ↗
16. Dunn, M.L., Suwito, W., and Cunningham, S., Fracture Initiation at Sharp Notches: Correlation Using Critical Stress Intensities, Int. J. Solids Struct., 1997, vol. 34, no. 29, pp. 3873–3883.10.1016/S0020-7683(96)00236-3 ↗
17. 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. Fracture, 2001, vol. 112, no. 3, pp. 275–298.10.1023/A:1013595930617 ↗
18. Livieri, P., A New Path Independent Integral Applied to Notched Components under Mode I Loadings, Int. J. Fracture, 2003, vol. 123, no. 3–4, pp. 107–125.10.1023/B:FRAC.0000007371.25227.aa ↗
19. Leguillon, D., Strength or Toughness? A Criterion for Crack Onset at a Notch, Eur. J. Mech. A. Solids, 2002, vol. 21, no. 1, pp. 61–72.10.1016/S0997-7538(01)01184-6 ↗
20. Berto, F., A Review on Coupled Modes in V-Notched Plates of Finite Thickness: A Generalized Approach to the Problem, Phys. Mesomech., 2013, vol. 16, no. 4, pp. 378–390. https://doi.org/10.1134/S102995991304011510.1134/S1029959913040115 ↗
21. Priel, E., Bussiba, A., Gilad, I., and Yosibash, Z., Mixed Mode Failure Criteria for Brittle Elastic V-Notched Structures, Int. J. Fracture, 2007, vol. 144, no. 4, pp. 247–265.10.1007/s10704-007-9098-x ↗
22. Dunn, M.L., Suwito, W., Cunningham, S., and May, C.W., Fracture Initiation at Sharp Notches under Mode I, Mode II, and Mild Mixed Mode Loading, Int. J. Fracture, 1997, vol. 84, no. 4, p. 367.10.1023/A:1007346203407 ↗
23. Seweryn, A. and Mróz, Z., A Non-Local Stress Failure Condition for Structural Elements under Multiaxial Loading, Eng. Fract. Mech., 1995, vol. 51, no. 6, pp. 955–973.10.1016/0013-7944(94)00335-F ↗
24. Seweryn, A. and Łukaszewicz, A., Verification of Brittle Fracture Criteria for Elements with V-Shaped Notches, Eng. Fract. Mech., 2002, vol. 69, no. 13, pp. 1487–1510.10.1016/S0013-7944(01)00138-2 ↗
25. Lazzarin, P., Zambardi, R., and Livieri, P., A J-Integral-Based Approach to Predict the Fatigue strength of Components Weakened by Sharp V-Shaped Notches, Int. J. Comput. Appl. Technol., 2002, vol. 15, no. 4–5, pp. 202–210.10.1504/IJCAT.2002.000296 ↗
26. Livieri, P., Use of J-Integral to Predict Static Failures in Sharp V-Notches and Rounded U-Notches, Eng. Fract. Mech., 2008, vol. 75, no. 7, pp. 1779–1793.10.1016/j.engfracmech.2007.01.022 ↗
27. Leguillon, D., A Criterion for Crack Nucleation at a Notch in Homogeneous Materials, Compt. Rend. Acad. Sci. Mechanics, 2001, vol. 329, no. 2, pp. 97–102.
28. Yosibash, Z., Priel, E., and Leguillon, D., A Failure Criterion for Brittle Elastic Materials under Mixed-Mode Loading, Int. J. Fracture, 2006, vol. 141, no. 1–2, pp. 291–312.10.1007/s10704-006-0083-6 ↗
29. Yosibash, Z. and Mittelman, B., A Revised Failure Criterion for Brittle Elastic Materials under Mixed-Mode Loading in 2D, Theor. Appl. Fract. Mech., 2016, vol. 84, pp. 149–156.10.1016/j.tafmec.2016.03.002 ↗
30. Carpinteri, A., Cornetti, P., Pugno, N., Sapora, A., and Taylor, D., A Finite Fracture Mechanics Approach to Structures with Sharp V-Notches, Eng. Fract. Mech., 2008, vol. 75, no. 7, pp. 1736–1752.10.1016/j.engfracmech.2007.04.010 ↗
31. 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, no. 3–4, pp. 534–550.10.1016/j.engfracmech.2007.03.035 ↗
32. Taylor, D., Geometrical Effects in Fatigue: A Unifying Theoretical Model, Int. J. Fatigue, 1999, vol. 21, no. 5, pp. 413–420.10.1016/S0142-1123(99)00007-9 ↗
33. Sapora, A., Cornetti, P., and Carpinteri, A., V-Notched Elements under Mode II Loading Conditions, Struct. Eng. Mech., 2014, vol. 49, no. 4, pp. 499–508.10.12989/sem.2014.49.4.499 ↗
34. Ayatollahi, M., Torabi, A., and Azizi, P., Experimental and Theoretical Assessment of Brittle Fracture in Engineering Components Containing a Sharp V-Notch, Experiment. Mech., 2011, vol. 51, no. 6, pp. 919–932.10.1007/s11340-010-9401-z ↗
35. Erdogan, F. and Sih, G., On the Crack Extension in Plates under Plane Loading and Transverse Shear, J. Basic Eng., 1963, vol. 85, no. 4, pp. 519–525.10.1115/1.3656897 ↗
36. Lazzarin, P., Berto, F., Elices, M., and Gómez, J., Brittle Failures from U- and V-Notches in Mode I and Mixed, I + II, Mode: A Synthesis Based on the Strain Energy Density Averaged on Finite-Size Volumes, Fatig. Fract. Eng. Mater. Struct., 2009, vol. 32, no. 8, pp. 671–684.10.1111/j.1460-2695.2009.01373.x ↗
37. Moghaddam, M.R., Ayatollahi, M., and Berto, F., Mixed Mode Fracture Analysis Using Generalized Averaged Strain Energy Density Criterion for Linear Elastic Materials, Int. J. Solids Struct., 2017, vol. 120, pp. 137–145.10.1016/j.ijsolstr.2017.04.035 ↗
38. Ayatollahi, M.R., Torabi, A.R., and Dehghani, M., Maximum Tangential Strain Energy Criterion for Estimating Brittle Fracture in Sharp V-Notches, in 18th Annual Conf. Mech. Eng. Sharif University of Technology, Tehran, Iran, 2010.
39. Ayatollahi, M.R., Torabi, A.R., and Dehghani, M., A Criterion for Brittle Fracture in Sharp V-Notched Components under In-Plane Mixed Mode Loading, in 2th Nat. Conf. on Mechanical Engineering, Islamic Azad University, Khomeinishahr Branch, Esfahan, Iran, 2009 (in Persian).10.1016/j.engfracmech.2009.04.008 ↗
40. Pluvinage, G., Analysis of Failure Emanating from a Notch, Mater. Sci., 2020, pp. 1–13.10.1007/s11003-020-00371-8 ↗
41. Meliani, M.H., Matvienko, Y.G., and Pluvinage, G., Two-Parameter Fracture Criterion (Kρ,c–Tef,c) Based on Notch Fracture Mechanics, Int. J. Fracture, 2011, vol. 167, no. 2, pp. 173–182.10.1007/s10704-010-9542-1 ↗
42. Pook, L., A 50-Year Retrospective Review of Three-Dimensional Effects at Cracks and Sharp Notches, Fatig. Fract. Eng. Mater. Struct., 2013, vol. 36, no. 8, pp. 699–723.10.1111/ffe.12074 ↗
43. Koo, J. and Choy, Y., A New Mixed Mode Fracture Criterion: Maximum Tangential Strain Energy Density Criterion, Eng. Fract. Mech., 1991, vol. 39, no. 3, pp. 443–449.10.1016/0013-7944(91)90057-8 ↗
44. Chang, K.J., On the Maximum Strain Criterion—A New Approach to the Angled Crack Problem, Eng. Fract. Mech., 1981, vol. 14, no. 1, pp. 107–124.10.1016/0013-7944(81)90021-7 ↗
45. Gross, B. and Mendelson, A., Plane Elastostatic Analysis of V-Notched Plates, Int. J. Fract. Mech., 1972, vol. 8, no. 3, pp. 267–276.10.1007/BF00186126 ↗
46. Ritchie, R.O., Knott, J.F., and Rice, J., Relationship between Critical Tensile Stress and Fracture Toughness in Mild Steel, Providence: Brown Univ., 1973.10.2172/4442244 ↗
47. Ayatollahi, M. and Torabi, A., Brittle Fracture in Rounded-Tip V-Shaped Notches, Mater. Design, 2010, vol. 31, no. 1, pp. 60–67.10.1016/j.matdes.2009.07.017 ↗
48. Chai, T. and Draxler, R.R., Root Mean Square Error (RMSE) or Mean Absolute Error (MAE)?–Arguments Against Svoiding RMSE in the Literature, Geosci. Model Develop., 2014, vol. 7, no. 3, pp. 1247–1250.10.5194/gmd-7-1247-2014 ↗
49. Welch, G. and Haisman, B., The Application of Fracture Mechanics to Concrete and the Measurement of Fracture Toughness, Mater. Construct., 1969, vol. 2, no. 3, pp. 171–177.10.1007/BF02479161 ↗