and Applied Mechanics
0, 0, pp. , Warsaw 0
Study of the anti-plane problem of a dugdale-barenblatt crack in a welded strip using the integral equation method
References
Cherepanov, G. P. (1979). Mechanics of brittle fracture. New York: McGraw-Hill International Book Co
Erdogan, F., Gupta, G.D., Cook, T., 1973. Numerical solution of singular integral equation. In: Sih, G.C. (Ed.), Methods of Analysis and Solutions of Crack Problems. Noordhoff International Publishing, Leyden, pp. 368–425
F.D. Gakhov, 1966. Boundary Value Problems. Pergamon Press and Addison-Wesley, Oxford
Gustavo H. B. Donato • Rodrigo Magnabosco •Claudio Ruggieri. Effects of weld strength mismatch on J and estimation procedure for SE(B) specimens. Int J Fract (2009) 159:1–20
G.A. Francfort, J.J. Marigo, Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, 46:8 (1998) 1319-1342
H. Ferdjani, J.-J. Marigo, Application of the Dugdale’s model to a mixed mode loading of a semi infinite cracked structure, European Journal of Mechanics - A/Solids, 53 (2015) 1-9
H. Ferdjani, , Abdelmoula, R., Marigo, J.-J., 2007. Insensitivity to small defects of the fracture of materials governed by the Dugdale model. Continuum Mech. Ther-modynam. 19, 191–210
H. Ferdjani. Study of an infinite strip containing a Dugdale crack parallel to its boundaries under antiplane shear loading. European Journal of Mechanics A/Solids(2008), doi:10.1016/j.euromechsol.2008.07.001
H. Ferdjani • R. Abdelmoula • J.-J. Marigo • S. El Borgi. Study of size effects in the Dugdale model through the case of a crack in a semi-infinite plane under anti-plane shear loading. Continuum Mech. Thermodyn. (2009) 21: 41–55
H. Ferdjani. Dugdale Crack at the Interface of Two Different Materials under Antiplane Shear Loading, Key Engineering Materials, 550 (2013) 63-70
M.C. Burstow, I.C.Howard, and R.A. Ainsworth. The effects of material strength mismatching on constraint at the limit load of welded three-point bend specimens. International Journal of Fracture 89: 117–142, 1998. Int. J. Pres. Ves. &Pipig 70 (1997) 33-41
M. Rakin, N. Gubeljak, M. Dobrojevic, A. Sedmak. Modelling of ductile fracture initiation in strength mismatched welded joint. Engineering Fracture Mechanics 75 (2008) 3499–3510
N. I. Ioakimidis. The numerical solution of crack problems in plane elasticity in the case of loading discontinuities. Engineering Fracture Mechanics 13 (1980) 709-716
P. Negre, D. Steglich, W. Brocks. Crack extension in aluminum welds: a numerical approach using the Gurson–Tvergaard–Needleman model. Engineering Fracture Mechanics 71 (2004) 2365–2383
S. Hao, A. Cornec and K.-H. Schwalbe. Plastic stress-strain fields and limit loads of a plane strain cracked tensile panel with a mismatched welded joint. lnt. d. Solids Structures Vol. 34, No. 3, pp. 297- 326, 1997
S. Hao, K.-H. Schwalbe, A. Cornec. The effect of yield strength mis-match on the fracture analysis of welded joints: slip-line field solutions for pure bending. International Journal of Solids and Structures 37 (2000) 5385-5411
Yong-Dong Li, Hong-Cai Zhang, Wei Tan, Kang Yong Lee. Mechanical modeling and fracture analysis for a non-homogeneous weldment with a crack perpendicular to the interface. International Journal of Solids and Structures 45 (2008) 5730–5743
Zhang Min, Y. W. Shi & X. P. Zhang. Influence of strength mis-matching on crack driving force and failure assessment curve of weldment.Int. J. Pres. Ves. & Piping 70 (1997) 33-41
Z. L. Zhang, C. Thaulow and M. Hauge. Effects of crack size and weld metal mismatch on the HAZ cleavage toughness of wide plates. Engineering Fracture Mechanics Vol. 57, No. 6, pp. 653-664, 1997
Ø. Ranestad, Z.L. Zhang and C. Thaulow.Two-parameter (J-M) description of crack tip stress-fields for an idealized weldment in small scale yielding. International Journal of Fracture 88: 315–333, 1997