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Numero 1 2007 - IIS

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E. Seib e M. Koçak - Fracture analysis of strength undermatched welds of thin-walled aluminium structures using FITNET procedure<br />

The FITNET FFS approach uses the<br />

methodology formerly known as the<br />

SINTAP procedure [8] and extends it<br />

with fully validated strength undermatched<br />

welded thin-walled structures.<br />

If the yield strength difference between<br />

the base and weld materials is more than<br />

10%, the FITNETT FFS Mismatch<br />

Option provides an assessment route<br />

accounting for the special features of<br />

welds, as it was established within the<br />

SINTAP procedure.<br />

In the following, only the set of equations<br />

for the Mismatch Option of the<br />

Fracture Module will be given. For the<br />

complete information on the different<br />

analysis options within the FITNET FFS<br />

Procedure, the reader is referred to [3].<br />

The required input information, as<br />

schematically illustrated in Figure 7, for<br />

the application of the Fracture Module<br />

to cracked welded structures will be<br />

given subsequently, including the determination<br />

of the weld metal tensile and<br />

fracture properties.<br />

4.1 FITNET FFS Procedure - Fracture<br />

Module: Option 2: Weld strength<br />

mismatch<br />

The Fracture Module provides two<br />

Material related input:<br />

- tensile properties<br />

of base and weld materials<br />

- fracture resistance<br />

complementary analysis routes: Failure<br />

Assessment Diagram (FAD) and Crack<br />

Driving Force (CDF). Since both routes<br />

are based on the same set of equations,<br />

their predictions are also the same.<br />

Therefore, only the CDF route will be<br />

presented in this paper. The CDF<br />

expression in terms of the crack tip<br />

opening displacement (CTOD), δ, is<br />

given as:<br />

with the elastic part of CTOD, δ e:<br />

K denotes the elastic stress intensity<br />

factor,<br />

the parameter m (m = 1 for plane stress<br />

and m = 2 for plane strain) is considered<br />

a constraint parameter,<br />

E’ = E for place stress and<br />

E’ = E/(1-v 2 ) for plane strain (E =<br />

Young’s modulus, v = Poisson’s ration),<br />

and<br />

FITNET Procedure<br />

Fracture Module<br />

Prediction of critical conditions:<br />

- critical crack size<br />

- maximum load level<br />

Figure 7 - Required input information for the application of the FITNET FFS Procedure - Fracture Module.<br />

(5)<br />

(6)<br />

is the ratio of externally applied load, F,<br />

and the yield load, F Y, of the cracked<br />

component which is a function of the<br />

material’s yield strength, σ Y, of the<br />

crack location and component/weld<br />

geometry. Regarding the selection of E’,<br />

the plane stress condition has been<br />

chosen due to the fact of the thin sheet<br />

material. It should be pointed out that<br />

for v = 0.3, E’ for the plane strain case<br />

differs only by a factor of 1.1<br />

from the plane stress case, whereas the<br />

variation of m between 1 and 2 is much<br />

more pronounced. The plasticity correction<br />

function, ƒ/(L r) is subdivided into<br />

different options within the FITNET<br />

FFS Procedure and is dependent on the<br />

extent of the material data input and on<br />

the case analyzed (homogeneous or<br />

heterogeneous with strength mismatch).<br />

For a strength mismatched configuration<br />

(FITNET FFS Fracture Module Option<br />

2), the plasticity correction function is<br />

defined as:<br />

Component or structure<br />

related input:<br />

- K-factor solution<br />

- Yield load solution<br />

(7)<br />

Riv. Ital. Saldatura - n. 1 - Gennaio / Febbraio <strong>2007</strong><br />

95

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