Abstract
The problem of evaluating linear elastic stress fields in the neighborhood of cracks and notches is considered. An analytical solution valid for cracked and notched components is given in general terms, according to Muskhelishvili's method based on complex stress functions. The solution is particularly useful for V-shape notches in wide and finite plates under uniform tensile loading. It will be demonstrated that some remarkable solutions of fracture mechanics and notch analysis already reported in the literature can be considered special cases of this general solution, as soon as appropriate values of the free parameters are adopted.
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References
H.Neuber, Theory of Notch Stresses, Springer-Verlag, Berlin (1958).
N.I.Muskhelishvili, Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoof, Leyden (1953).
H.M.Westergaard, Journal of Applied Mechanics 6 (1939) A49–53.
A.Carpinteri, Meccanica dei Materiali e della Frattura, Pitagora, Bologna (1992) (in Italian). 084
G.R.Irwin, Journal of Applied Mechanics 24 (1957) 361–364.
M.L.Williams, Journal of Applied Mechanics 74 (1952) 526–528.
W.C.Carpenter, International Journal of Fracture 24 (1984) 255–266.
M.Creager and P.C.Paris, International Journal of Fracture Mechanics 3 (1967) 247–252.
G.Glinka and A.Newport, International Journal of Fatigue 9 (1987) 143–150.
B.Atzori, P.Lazzarin and R.Tovo, Österreichische Ingenieur-und Architekten-Zeitschrift 137 (1992) 556–561.
M.H. Aliabadi and D.P. Rooke, Numerical Fracture Mechanics, Kluwer Academic Publishers (1991).
B. Atzori, G. Demelio and C. Pappalettere, Proceedings of Problemi di progettazione meccanica e di analisi comportamentale (Politecnico di Milano), (1990) 163–179.
R.Gross and A.Mendelson, International Journal of Fracture Mechanics 8 (1972) 267–276.
C.S.Shin, K.C.Man and C.M.Wang, International Journal of Fatigue 19 (1994) 242–256.
R.X.Xu, J.C.Thompson and T.H.Topper, Fatigue and Fracture of Engineering Materials and Structures 18 (1995) 885–895.
R. Tovo, Proceedings XXI AIAS Conference, Genova, Italy (1992) 49–60 (in Italian).
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Lazzarin, P., Tovo, R. A unified approach to the evaluation of linear elastic stress fields in the neighborhood of cracks and notches. Int J Fract 78, 3–19 (1996). https://doi.org/10.1007/BF00018497
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DOI: https://doi.org/10.1007/BF00018497