Influence of the root radius of crack-like notches on the fracture load of brittle components. (English) Zbl 1161.74473
Summary: Narrow notches often cause damage that can lead to the destruction of components. The stress field in the vicinity of such crack-like notches in two-dimensional (2D) structures is similar to the stress field around equivalent cracks. Therefore similar investigations are necessary to predict the fracture load for components with cracks or narrow notches. Thus, the asymptotical stress field for a narrow notch with a rounded notch root is deduced from an Airy’s stress function. Based on this stress field a fracture criterion is developed. Comparing the theoretical fracture limit curves derived from the fracture criterion with experimental results it can be shown that for brittle material the local stress state at the fracture initiation point is the same for mode I, mixed-mode and mode II loading.
MSC:
| 74R10 | Brittle fracture |
Keywords:
narrow notch; crack-like notch; asymptotical stress field; fracture criterion; mixed-mode loadingReferences:
| [1] | Peterson R.E. (1974) Stress Concentration Factors. Wiley, New York |
| [2] | Bart J., Neuber H., Schnack E. (1976) Kerbfaktordiagramme nach numerischen Berechnungsverfahren. Konstruktion 28, 217–218 |
| [3] | Irwin G.R. (1957) Analysis of stresses and strains near the end of a crack traversing a plate. J. Appl. Mech. 24, 361–364 |
| [4] | Barth F.J. (1991) Berechnung theoretischer Rißwiderstandskurven auf der Basis des asymptotischen Rißwachstumsfeldes. Dissertation, University of Kaiserslautern |
| [5] | Williams M.L. (1952) Stress singularities resulting from various boundary conditions in angular corners of plates in extension. J. Appl. Mech. 19, 526–528 |
| [6] | Williams M.L. (1957) On the stress distribution at the base of a stationary crack. J. Appl. Mech. 24, 109–114 · Zbl 0077.37902 |
| [7] | Creager, M: The elastic field near the tip of a blunt crack. Master’s Thesis, Lehigh University (1966) |
| [8] | Creager M., Paris P.C. (1967) Elastic field equations for blunt cracks with reference to stress corrosion cracking. Int. J. Fract. Mech. 3, 247–252 |
| [9] | Kullmer, G.: Elastische Spannungsfelder an einer ausgerundeten scharfen Kerbe. In: Vorträge zum Problemseminar Bruchmechanik V – Werkstoffmechanik, Heft 2/91, Weiterbildungszentrum für Festkörpermechanik der TU-Dresden, Dresden, pp. 76–88 (1991) |
| [10] | Kullmer, G.: Tragfähigkeitsvorhersage für Bauteile mit Kerben und Rissen. Fortschritt-Berichte VDI, Reihe 18: Mechanik / Bruchmechanik, no. 152, VDI-Verlag, Düsseldorf (1994) |
| [11] | Richard, H.A.: Bruchvorhersagen bei überlagerter Normal- und Schubbeanspruchung von Rissen. VDI-Forschungsheft 631, Düsseldorf (1985) |
| [12] | Neuber H. (1985) Kerbspannungslehre. Springer, Berlin Heidelberg New York |
| [13] | Ritchie R.O., Knott J.F., Rice J.R. (1973) On the relationship between critical tensile stress and fracture toughness in mild steel. J. Mech. Phys. Solids 21, 395–410 · doi:10.1016/0022-5096(73)90008-2 |
| [14] | Neuber H. (1968) Über die Berücksichtigung der Spannungskonzentration bei Festigkeitsberechnungen. Konstruktion 20, 245–251 |
| [15] | Erdogan F., Sih G.C. (1963) On the crack extension in plates under plane loading and transverse shear. J. Basic Eng. 85, 519–525 |
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