Issue 32

N. Bisht et alii, Frattura ed Integrità Strutturale, 32 (2015) 1-12; DOI: 10.3221/IGF-ESIS.32.01 11 3. For mode II SIF there is an amplification effect. Mode II SIF which is otherwise absent for single cracks develops due to the presence of neighbouring cracks. 4. The amplification is more significant for closer cracks. 5. Both the amplification and shielding effects cease to exist as cracks move farther away from each other. R EFERENCES [1] Inglis, C.E., Stresses in a plate due to the presence of cracks and sharp corners, Transactions-Institute of Naval Architect, 55 (1913) 219-230. [2] Griffith, A.A., The phenomenon of rupture and flow in solids, Trans. Royal Soci. London, 221 (1920) 163-198. [3] Westgaard, H. M., Bearing pressure and cracks, J. Appl. Maths Mech., 6 (1939) 49-53. [4] Wen-Ye, T., Gabbert, U., Multiple crack interaction problems in magnetoelectrostatic solids, Europ. J. Mech. A/Solids, 23 (2004) 599. [5] Sneddon, I. N., Lowengrub, M., Crack Problems in Classical Theory of Elasticity, 1 st Edn., Wiley, New York, (1969). [6] Westergaard, H. M., Bearing pressure and cracks, ASME J. Appl. Mech., 6 (1939) 49-53. [7] Muskhelishvili, N. I., Some basic problems of mathematical theory of elasticity, 4 th Edn. Holland, Noordhoff, (1977). [8] Erdogan, F., Stress Intensity Factors, ASME J. Appl. Mech., 50 (1983) 992-1002. [9] Bowie, O. L., Analysis of an infinite plate containing radial cracks originating at the boundary of an internal circular hole, J. Math. Phys., 25 (1956) 60-71. [10] Isida, M., Stress intensity factors for the tension of an eccentrically cracked strip, ASME J. Appl. Mech., 33 (1966) 674-675. [11] Williams, M. L., On the stress distribution at the base of a stationary crack, ASME J Appl. Mech., 24 (1957) 104-114. [12] Sih, G. C., Paris, P. C., Erdogan, F., Crack tip stress intensity factors for plane extension and plate bending problems, ASME J. Appl. Mech., 29 (1962) 306-314. [13] Eshelby, J. D., Franck, F. C., Nabarro, F. R. N., The equilibrium of linear arrays of dislocations, Phil. Mag., 42 (1951) 351-364. [14] Watwood, V. B., The finite element method for prediction of crack behaviour, Nucl. Engg. Des., 11 (1969) 323-332. [15] Cruse, T. A., Numerical solutions in three dimensional elastostatics, Int. J. Solids Struct., 5 (1969) 1259-1274. [16] Nisitani, H., Solutions of notch problems by the body force method in fracture mechanics, Edited by G. C. Sih, fifth ed. Noordhoff International, (1978) 1-68. [17] Crouch, S. L., Starfield, A. M., Boundary element method in solid mechanics, with application in rock mechanics and geological mechanics, 1 st Edn., George Allen & Unwin, (1983). [18] Pook, L. P., Stress intensity factor expressions for regular crack arrays in pressurised cylinders, Fatig. Fract. Eng. Mater. Struct., 13 (1990) 135–143. [19] Rooke, D. P., Cartwright, D. J., Compendium of stress intensity factors Great Britain, Ministry of Defence, Procurement Executive, (1976). [20] Ingraffea, A.R., Wawrzynek, P.A., Comprehensive structural integrity, 1st Edn., R.d.B.a.H. Mang (Ed.), Elsevier Science Ltd., Oxford, (2003). [21] Sinclair, G., Stress singularities in classical elasticity—II: Asymptotic identification, App. Mech. Rev., 57 (2004) 251– 298. [22] Ingraffea, A.R., Encyclopaedia of computational mechanics, John Wiley and Sons, (2004). [23] de Oliveira Miranda, A. C., Meggiolaro, M. A., Martha, L. F., de Castro, J. T. P., Stress intensity factor predictions: Comparison and roundoff error, Comput. Mater. Sci., 53 (2012) 354–358. [24] Miranda, A.C.O., Meggiolaro, M.A., Castro, J.T.P., Martha, L.F., Bittencourt, T.N., Fatigue life and crack path predictions in generic 2D structural components, Eng. Fract. Mech., 70 (2003) 1259–1279. [25] de Oliveira Miranda, A.C., Meggiolaro, M. A., de Castro, J. T. P., Martha, L. F., Fatigue life prediction of complex 2D components under mixed-mode variable amplitude loading, Int. J. Fatig., 25 (2003) 1157–1167. [26] Kim, J. K., Cho, S. B., Effect of second non-singular term of mode I near the tip of a V notched crack, Fatig. Fract. Eng. Mater. Struct., 2 (2009) 346–356. [27] Ayatollahi, M. R., Nejati, M., Determination of NSIFs and coefficients of higher order terms for sharp notches using finite element method, Int. J. Mech. Sci., 53 (2011) 164-177. [28] Ayatollahi, M. R., Dehghany, M., On T-stresses near V-notches, Int. J. Fract., 165 (2010) 121-126.

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