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Study of the anti-plane problem of a Dugdale-Barenblatt crack in a welded strip using the integral equation method

Chaouche Amine Brick, Ferdjani Hicheme, Tala-Ighil Nacer

Journal of Theoretical and Applied Mechanics

2019

Vol. 57 nr 2

475--487

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.