Abstract
Three mixed mode failure initiation criteria at reentrant corners in brittle elastic materials are examined. Prediction of failure load and crack initiation angle are compared to experimental observations carried out on PMMA (polymer) and MACOR (glass ceramic) V-notched specimens. Since the mode mixity ratio influences greatly both the failure load and crack initiation angle, a detailed experimental procedure has been followed, focusing on obtaining a wide range of mode mixity ratios. It is demonstrated that by assuming a sharp V-notch tip some failure criteria predict reasonably well both the crack initiation angle and failure load.
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References
Anderson T (2005) Fracture mechancis fundamentals and application. CRC Press
Banks L and Arcan M (1986). A compact mode II fracture specimen. American Soc Test Mater 7: 347–363
Chang J, Xu J and Mutoh Y (2006). A general mixed mode brittle fracture criterion for cracked materials. Engrg Frac Mech 73: 1249–1263
Dunn ML, Suwito W and Cunningham S (1997a). Fracture initiation at sharp notches: correlation using critical stress intensities. Int J Solids Struct 34(29): 3873–3883
Dunn ML, Suwito W, Cunningham S and May CW (1997b). Fracture initiation at sharp notches under mode I, mode II, and mild mixed mode loading. Int J Fracture 84: 367–381
Erdogan F and Sih G (1963). On the crack extention in plates under loading and transverse shear. J Basic Eng 85: 519–527
Fett T (1996). Failure of brittle materials near stress singularities. Eng Fract Mech 53: 511–518
Fett T, Gerteisen G, Hahnenberger S, Martin G and Munz D (1995). Fracture tests for ceramics under mode-I, mode-II and mixed mode loading. J Eur Ceramic Soc 15: 307–312
Gomez F and Elices M (2003). Fracture of componenets with sharp V-shaped notches. Eng Frac Mech 70: 1913–1927
Lazzarin P and Zmabardi R (2001). A finite-volume-energy based approach to predict the static and fatigue behavior of components with sharp V-shaped notches. Int J Frac 112: 275–298
Leguillon D (2002). Strength or toughness? A criterion for crack onset at a notch. Eur J Mech-A/Solid 21: 61–72
Novozhilov V (1969). On a necessary and sufficient criterion for brittle strength. J Appl Math Mech (Translation of PMM) 33(2): 212–222
Nuismer R (1975). An energy release rate criterion for mixed mode fracture. Int J Frac 11(2): 245–250
Palaniswamy K and Knuass W (1978). On the problem of crack extension in brittle solids under general loading. Mech Today 4: 87–148
Petrovic J (1985). Mixed mode fracture of hot-pressed Si 3 N 4. J Eur Ceramic Soc 68: 348–355
Royer J (1988). Study of pure and mixed mode fracture of a brittle material. Exp Mech 28(4): 382–387
Seweryn A (1994). Brittle fracture criterion for structures with sharp notches. Eng Frac Mech 47(5): 673–681
Seweryn A and Lukaszewicz A (2002). Verification of brittle fracture criteria for elements with V-shaped notches. Eng Frac Mech 69: 1487–1510
Sih G and Macdonald B (1974). Fracture mechanics applied to engineering problems - strain energy density fracture criterion. Eng Frac Mech 6: 361–386
Suresh S, Shih C, Morrone A and O’Dowd N (1990). Mixed mode fracture toughness of ceramic materials. J Eur Ceramic Soc 73: 1257–1267
Szabó BA and Babuška I (1991). Finite element analysis. John Wiley & Sons, New York
Ueda Y, Ikeda K, Tetsuya Y and Aoki M (1983). Characteristic of brittle fracture under general combined modes incuding those under bi-axial tensile loads. Exp Mech 18: 1131–1158
Yosibash Z, Adan O, Shneck R and Atlas H (2003). Thermo-mechanical failure criterion at the micron scale in electronic devices. Int J Frac 122: 47–64
Yosibash Z, Bussiba A and Gilad I (2004). Failure criteria for brittle elastic materials. Int J Frac 125(3-4): 307–333
Yosibash Z, Priel E and Leguillon D (2006). A failure criterion for brittle elastic materials under mixed-mode loading. Int J Frac 141(1): 291–312
Yuh J and Shu L (1997). On the failure of cracks under mixed mode loads. Int J Frac 87: 201–223
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Priel, E., Bussiba, A., Gilad, I. et al. Mixed mode failure criteria for brittle elastic V-notched structures. Int J Fract 144, 247–265 (2007). https://doi.org/10.1007/s10704-007-9098-x
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DOI: https://doi.org/10.1007/s10704-007-9098-x