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 />
3.7.2 FE Models <strong>of</strong> <strong>the</strong> CJ specimens<br />
Non-linear FE analyses <strong>of</strong> <strong>the</strong> tested Complete Joints were carried out both by 2D<br />
<strong>and</strong> 3D models in a monotonic loading regime. As a matter <strong>of</strong> fact, 3D finite<br />
element analyses <strong>of</strong> bolted connections are very dem<strong>and</strong>ing from a computational<br />
st<strong>and</strong>point. Hence, 2D models endowed with eight-node CPS8 plane stress<br />
elements were adopted to reduce <strong>the</strong> computational expense. For completeness<br />
some analyses have been repeated with 3D FE models, as 2D models tend to<br />
average stresses along <strong>the</strong> joint width.<br />
In a way similar to <strong>the</strong> models used for <strong>the</strong> Isolated Tee Stubs, 2D models <strong>of</strong> <strong>the</strong><br />
CJ specimens exploited FE layers to reproduce <strong>the</strong> end plate <strong>and</strong> additional FE<br />
layers to simulate <strong>the</strong> bolt shank. Both <strong>the</strong> specimens endowed an end plate with<br />
flange thickness <strong>of</strong> 12 mm <strong>and</strong> 18 mm are modelled. The models include details<br />
such as boltholes <strong>and</strong> bolts; surface-to-surface contact elements are used to model<br />
<strong>the</strong> surface interaction, neglecting friction, which has a negligible effect on <strong>the</strong> joint<br />
response (Bursi <strong>and</strong> Jaspart, 1998). Moreover, constraint equations are introduced<br />
to make <strong>the</strong> bolt heads continuous with <strong>the</strong> end plate. Bolt pre-tensioning is applied<br />
by prescribed displacements at <strong>the</strong> end <strong>of</strong> <strong>the</strong> bolt shank, in order to entail a final<br />
average shank stretch equal to 0.065 mm, similar to that detected during testing.<br />
These displacements are held constant throughout <strong>the</strong> loading. Welding-induced<br />
residual stresses develop unavoidably in <strong>the</strong> welds <strong>and</strong> in <strong>the</strong> base metal owing to<br />
<strong>the</strong>rmo elasto-plastic deformation. Therefore, an idealised stress distribution as <strong>the</strong><br />
one <strong>high</strong>lighted in Figure 3.28 has been introduced. One more time, at <strong>the</strong> weld toe<br />
where stress concentrations are expected, a refined FE mesh is adopted. A crack<br />
endowed with a length <strong>of</strong> 0.26 mm (small-to-moderate root defect) was modelled at<br />
<strong>the</strong> weld toe in order to investigate <strong>the</strong> <strong>behaviour</strong> <strong>of</strong> cracked connections. More<br />
specifically, cracking is studied through contour integral evaluation in order to infer<br />
J values. The model is shown in Figure 3.33 <strong>and</strong> represents <strong>the</strong> JA1-2 CJ<br />
specimen, endowed with a 12 mm end plate thickness coupled with <strong>the</strong> column <strong>of</strong><br />
HEA180 pr<strong>of</strong>ile.<br />
Keeping <strong>the</strong> above-mentioned characteristics <strong>of</strong> <strong>the</strong> 2D model, a very complex 3D<br />
model <strong>of</strong> <strong>the</strong> specimen was performed in order to investigate <strong>the</strong> real stress <strong>and</strong><br />
strain distribution along <strong>the</strong> width <strong>of</strong> <strong>the</strong> joint. With a view to confirming <strong>the</strong><br />
hypo<strong>the</strong>ses <strong>of</strong> 2D analyses, one <strong>of</strong> <strong>the</strong> main objectives that it was be obtained with<br />
<strong>the</strong> 3D model was increased accuracy in <strong>the</strong> computed local stress-strain state <strong>of</strong><br />
<strong>the</strong> beam flange region due to weld residual stress <strong>and</strong> <strong>high</strong> gradients <strong>of</strong> stresses,<br />
where <strong>the</strong> connection has <strong>the</strong> <strong>high</strong>est fracture potential. The realised model is<br />
reported in Figure 3.34 <strong>and</strong> it represents <strong>the</strong> JB1-3 CJ specimen, endowed with an<br />
18 mm end plate thickness coupled with <strong>the</strong> column <strong>of</strong> HEB180 pr<strong>of</strong>ile. It is<br />
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