ARTICLE
Study of the anti-plane problem of a Dugdale-Barenblatt crack in a welded strip using the integral equation method
 
More details
Hide details
1
Research Center in Industrial Technologies (CRTI), Algiers, Algeria
 
2
Department of Mechanics, Structures Laboratory, Saad Dahlab University, Blida, Algeria
 
 
Submission date: 2018-04-08
 
 
Acceptance date: 2019-01-28
 
 
Publication date: 2019-04-15
 
 
Journal of Theoretical and Applied Mechanics 2019;57(2):475-487
 
KEYWORDS
ABSTRACT
The elasto-static anti-plane problem of a Dugdale-Barenblatt crack in a welded infinite strip is formulated in terms of a singular integral equation (SIE). The weld joint is modeled as a tri-material structure: the weld metal (WM), the base metal (BM) and the heat-affected zone (HAZ). The HAZ is modeled with an exponentially variable shear modulus. The SIE is solved using Tchebychev polynomials. The influence of the elastic mismatching (the ratio between the shear modulus of WM and BM) and width of the HAZ on the fracture load and on the crack propagation is investigated.
REFERENCES (20)
1.
Burstow M.C., Howard I.C., Ainsworth R.A., 1998, The effects of material strength mismatching on constraint at the limit load of welded three-point bend specimens, International Journal of Fracture, 89, 2, 117-142.
 
2.
Cherepanov G.P., 1979, Mechanics of Brittle Fracture, New York: McGraw-Hill International Book Co.
 
3.
Donato G.H.B., Magnabosco R., Ruggieri C., 2009, Effects of weld strength mismatch on J and CTOD estimation procedure for SE(B) specimens, International Journal of Fracture, 159, 1-20.
 
4.
Erdogan F., Gupta G.D., Cook T., 1973, Numerical solution of singular integral equation, [In:] Methods of Analysis and Solutions of Crack Problems, G.C. Sih (Edit.), Noordhoff International Publishing, Leyden, 368-425.
 
5.
Ferdjani H., 2008, Study of an infinite strip containing a Dugdale crack parallel to its boundaries under antiplane shear loading, European Journal of Mechanics, A/Solids, DOI: 10.1016/j.euromechsol.2008.07.001.
 
6.
Ferdjani H., 2013, Dugdale Crack at the interface of two different materials under antiplane shear loading, Key Engineering Materials, 550, 63-70.
 
7.
Ferdjani H., Abdelmoula R., Marigo J.-J., 2007, Insensitivity to small defects of the fracture of materials governed by the Dugdale model, Continuum Mechanics and Thermodynamics, 19, 191-210.
 
8.
Ferdjani H., Abdelmoula R., Marigo J.-J., El Borgi S., 2009, 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 Mechanics and Thermodynamics, 21, 41-55.
 
9.
Ferdjani H., Marigo J.-J., 2015, Application of the Dugdale’s model to a mixed mode loading of a semi infinite cracked structure, European Journal of Mechanics, A/Solids, 53, 1-9.
 
10.
Francfort G.A., Marigo J.J., 1998, Revisiting brittle fracture as an energy minimization problem, Journal of the Mechanics and Physics of Solids, 46, 8, 1319-1342.
 
11.
Gakhov F.D., 1966, Boundary Value Problems, Pergamon Press and Addison-Wesley, Oxford.
 
12.
Hao S., Cornec A., Schwalbe K.-H., 1997, Plastic stress-strain fields and limit loads of a plane strain cracked tensile panel with a mismatched welded joint, International Journal of Solids and Structures, 34, 3, 297-326.
 
13.
Hao S., Schwalbe K.-H., Cornec A., 2000, 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, 5385-5411.
 
14.
Ioakimidis N.I., 1980, The numerical solution of crack problems in plane elasticity in the case of loading discontinuities, Engineering Fracture Mechanics, 13, 709-716.
 
15.
Li Y.-D., Zhang H.-C., Tan W., Lee K.Y., 2008, Mechanical modeling and fracture analysis for a non-homogeneous weldment with a crack perpendicular to the interface, International Journal of Solids and Structures, 45, 5730-5743.
 
16.
Negre P., Steglich D., Brocks W., 2004, Crack extension in aluminum welds: a numerical approach using the Gurson-Tvergaard-Needleman model, Engineering Fracture Mechanics, 71, 2365-2383.
 
17.
Rakin M., Gubeljak N., Dobrojevic M, Sedmak A., 2008, Modelling of ductile fracture initiation in strength mismatched welded joint, Engineering Fracture Mechanics, 75, 3499-3510.
 
18.
Ranestad ø., Thaulow C., Zhang Z.L., 1997, 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.
 
19.
Zhang M., Shi Y.-W., Zhang X.P., 1997a, Influence of strength mis-matching on crack driving force and failure assessment curve of weldment, International Journal of Pressure Vessels and Piping, 70, 33-41.
 
20.
Zhang Z.L., Thaulow C., Hauge M., 1997, Effects of crack size and weld metal mismatch on the HAZ cleavage toughness of wide plates, Engineering Fracture Mechanics, 57, 6, 653-664.
 
eISSN:2543-6309
ISSN:1429-2955
Journals System - logo
Scroll to top