Analysis and modelling of the seismic behaviour of high ... - Ingegneria
Analysis and modelling of the seismic behaviour of high ... - Ingegneria
Analysis and modelling of the seismic behaviour of high ... - Ingegneria
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3. SEISMIC BEHAVIOUR OF BOLTED END PLATE BEAM-TO-COLUMN STEEL JOINTS<br />
Similar results are obtained for <strong>the</strong> TM-2 <strong>and</strong> JB1-3 specimens. In order to verify<br />
<strong>the</strong> quality <strong>of</strong> <strong>the</strong>se analyses, <strong>the</strong> values <strong>of</strong> J-integral for different paths 1, 5, 10<br />
<strong>and</strong> 15 are plotted in Figure 3.41 as a function <strong>of</strong> <strong>the</strong> applied displacement with<br />
reference to <strong>the</strong> specimens ITS2. More specifically, 1 represents <strong>the</strong> J-integral<br />
computation from <strong>the</strong> first ring <strong>of</strong> elements abutting <strong>the</strong> crack tip whilst 15<br />
corresponds to <strong>the</strong> path surrounding all <strong>the</strong> elements <strong>of</strong> <strong>the</strong> “spider web” mesh<br />
illustrated in Figure 3.29b. The values <strong>of</strong> J1, J5, J10, <strong>and</strong> J15 agree with each<br />
o<strong>the</strong>r entailing path independence at <strong>the</strong> given applied displacement. It is<br />
worthwhile to recall that <strong>the</strong> estimate provided through <strong>the</strong> first ring <strong>of</strong> elements<br />
surrounding <strong>the</strong> crack tip does not provide <strong>high</strong> accurate results (Bursi et al, 2002).<br />
Residual stress effects<br />
Rapid uneven heat removal in welded connections entails large welding-induced<br />
residual stresses that can influence <strong>the</strong> joint <strong>behaviour</strong> in several ways. A detailed<br />
investigation <strong>of</strong> <strong>the</strong>se effects for welded beam-to-column moment connections can<br />
be found in (Zhang et Dong, 2000). For <strong>the</strong> ITS connections <strong>of</strong> 12 mm thickness,<br />
an idealised residual stress pattern like <strong>the</strong> one <strong>high</strong>lighted in Figure 3.28 has been<br />
used, assuming a crack length equal to 1.30 mm <strong>and</strong> considering an overmatching<br />
weld. Relevant results are reported in Figure 3.42a <strong>and</strong> Figure 3.42b: results show<br />
clearly that <strong>the</strong> presence <strong>of</strong> residual stresses increases <strong>the</strong> toughness dem<strong>and</strong>.<br />
REACTION FORCE (kN)<br />
90<br />
350<br />
300<br />
250<br />
200<br />
150<br />
100<br />
50<br />
0<br />
W/o residual stresses<br />
With residual stresses<br />
0 1 2 3 4 5<br />
DISPLACEMENT (mm)<br />
CTOD (mm)<br />
1<br />
0.8<br />
0.6<br />
0.4<br />
0.2<br />
0<br />
CTOD c<br />
W/o residual stresses<br />
With residual stresses<br />
0 1 2 3 4 5<br />
DISPLACEMENT (mm)<br />
(a) (b)<br />
Figure 3.42. (a) Predicted force vs. displacement <strong>and</strong> (b) CTOD vs. displacement <strong>of</strong> TM-2<br />
specimens with <strong>and</strong> without residual stresses<br />
The same idealised residual stress pattern has been used also for <strong>the</strong> ITS<br />
connections with 18 mm thickness with a crack length equal to 2.34 mm <strong>and</strong> for <strong>the</strong>