RESEARCH PAPER
Study of the anti-plane problem of a Dugdale-Barenblatt crack in a welded strip using the integral equation method
 
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1
Research Center in Industrial Technologies (CRTI), Algiers, Algeria
2
Department of Mechanics, Structures Laboratory, Saad Dahlab University, Blida, Algeria
Publish date: 2019-04-15
Submission date: 2018-04-08
Acceptance date: 2019-01-28
 
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.
 
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