Issue 17

E. Benvenuti et alii, Frattura ed Integrità Strutturale, 17 (2011) 23-31; DOI: 10.3221/IGF-ESIS.17.03 31 method makes it possible not only to avoid stress singularities but also to lead to a satisfying approximation of the experimental failure loads. In order to fully assess the effectiveness of the proposed method, further investigations are required, such as the study of mixed loading modes. The present approach has the same potential of cohesive models without the need of inserting the crack line along the element boundaries. Moreover, it can be easily used to deal with general non-linear constitutive laws. Figure 13 : Profiles of the total stress field and the regularized stress c   along the crack line for 2  =20 deg. R EFERENCES [1] H. Neuber, Konstruktion, 20 (1968) 245. [2] A. Seweryn, Engineering Fracture Mechanics, 47 (1994) 673. [3] L. Susmel, D. Taylor, International Journal of Fatigue, 28 (2006) 417. [4] D.G.B. Edelen, Continuum Physics, Vol. IV Academic Press, New York, (1976) 75. [5] C.A. Eringen, D.G.B. Edelen, International journal of Engineering Science, 10 (1972) 233. [6] R. H. J. Peerlings, M.G.D. Geers, R. de Borst, W.A.M. Brekelmans, Int. J. Solids Structures, 38 (2001) 7723. [7] R. Tovo, P. Livieri, E. Benvenuti, International Journal of fracture, 141 (2006) 497. [8] R. Tovo, P. Livieri, Engineering Fracture Mechanics, 74 (2007) 515. [9] F.J. Gomez, M. Elices, Engineering Fracture Mechanics, 70 (2003) 1913. [10] J. Planas, M. Elices, G. V. Guinea,F. J.Gómez, D. A. Cendón, I. Arbilla, Engineering Fracture Mechanics, 70 (2003) 1759. [11] A. Cornec, I. Scheider, K. H. Schwalbe, Engineering Fracture Mechanics, 70 (2003) 1963. [12] N. Moes, T. Belytschko, Engineering Fracture Mechanics, 69 (2002) 813. [13] B. L. Karihaloo, Q. Z. Xiao, International Journal of Fracture, 150 (2008) 55. [14] X. Y. Liu, Q. Z. Xiao, B. L. Karihaloo, International Journal for Numerical Methods in Engineering, 59 (2004) 1103. [15] J. Réthoré, S. Roux, F. Hild, International Journal for Numerical Methods in Engineering, 81 (2010) 269. [16] H. Mihashi, N. Nomura, Nuclear Engineering and Design, 165 (1996) 359. [17] E. Benvenuti, Computer Methods in Applied Mechanics and Engineering, 197 (2008) 4367. [18] E. Benvenuti, A. Tralli, G. Ventura, International Journal for Numerical Methods in Engineering, 74 (2008) 1097. [19] E. Benvenuti, Mesh-size-objective XFEM for regularized continuous/discontinuous transition, accepted for publication on Finite Element Analysis and design (2011).