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Nonlinear Finite Element Analysis of Concrete Structures

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- 1S6 -<br />

In conclusion, the structural behaviour - <strong>of</strong> the Lok-Test has<br />

been investigated in detail. Severe cracking occurs and the<br />

stress distribution is very inhoroogeneous. It has been shown<br />

that large compressive forces run from the disc in a rather<br />

narrow band towards the support and this constitutes the loadcarrying<br />

mechanism. Moreover, the failure in a Lok-Test is<br />

caused by crushing <strong>of</strong> the concrete and not by cracking. Therefore,<br />

the force required to extract the embedded steel disc<br />

in a Lok-Test is directly dependent on the compressive strength<br />

<strong>of</strong> the concrete in question. However, as the stress states,<br />

where failure takes place, are primarily biaxial compressive<br />

occasionally superposed by small tensile stresses, the tensile<br />

strength <strong>of</strong> the concrete has sone indirect influence. The effect<br />

<strong>of</strong> strain s<strong>of</strong>tening in the post-failure region is important.<br />

In general, weak concrete compared to strong concrete has a<br />

relatively larger tensile strength and a higher ductility. This<br />

explains why the relation between the failure pull-out force<br />

and the compressive strength is linear and not proportional.<br />

The influence <strong>of</strong> different failure criteria has also been<br />

evaluated and it has been shown that use <strong>of</strong> the writer's failure<br />

criterion (1977) coupled with realistic post-failure behaviours<br />

gives the closest agreement with experimental data. For the<br />

concretes having a = 31.8 MPa, o./a = 0.10, D = 0.2 and a =<br />

18.7 MPa, a /a = 0.10, D = 0.6, the predicted failure loads<br />

are 99% and 97%, respectively, <strong>of</strong> the experimental values.<br />

6. SUMMARY AND CONCLUSIONS<br />

The present study has produced general conclusions within the<br />

fields <strong>of</strong> constitutive modelling <strong>of</strong> concrete, aspects <strong>of</strong> finite<br />

element modelling and structural behaviour <strong>of</strong> specific concrete<br />

structures. Moreover, a pr<strong>of</strong>ound documentation <strong>of</strong> the AXIPLANEprogram,<br />

applicable for axisymmetric and planp structures, has<br />

been given.

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