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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