Abstract
Failure criteria play a vital role in the nzimerical analysis of reinforced
concrete structures. The current failure criteria can be classiJied
into two types, namely the empirical and theoretical failure criteria.
Empirical failure criteria normally lack reasonable theoretical backgrounds,
while theoretical ones either involve too many parameters or ignore
the effects of intermediate principal stress on the concrete strength.
Based on the octahedral shear stress model and the concrete tensile
strength under the state of triaxial and uniaxial stress, a new failure
criterion, that is, the simplzjed uniJied strength theory (UST),
is developed by simplzfiing the Jive-parameter UST for the analysis
of reinforced concrete structures. According to the simplified UST
failure criterion, the concrete strength is injlz~encedb y the maximum
and intermediate principal shear stresses together with the corresponding
normal stresses. Moreover, the effect of hydrostatic pressure on
the concrete strength is also taken into account. The failure criterion
involves three concrete strengths, namely the uniaxial tensile and
compressive strengths and the equal biaxial compressive strength.
In the numerical analysis, a degenerated shell element with the layered
approach is adopted for the simulation of concrete structures. In
the layered approach, concrete is divided into several layers over
the thickness of the elements and reinforcing steel is smeared into
the corresponding number of layers of equivalent thickness. In each
concrete layer, three-dimensional stresses are calculated at the
integration points.
For the material modelling, concrete is treated as isotropic material
until cracking occurs. Cracked concrete is treated as an orthotropic
material incorporating tensionstiffening and the reduction of cracked
shear stiffness. Meanwhile, the smeared craclc model is employed.
The bending reinforcements and the stirrups are simzilated using
a trilinear material model.
To verzfi the correctness of the simpliJied UST failure criterion,
comparisons are made with concrete triaxial empirical results as
well as with the Kupfer and the Ottosen failure criteria. Finally,
the proposed failure criterion is used for the flexural analysis
of simply supported reinforced concrete beams. Also conducted are
the punching shear analyses of single- and multi-column-slab connections
and of half-scale flat plate models.
In view oj. its accuracy and capabilities, the sirnpliJied UST failure
criterion may be used to analyse beam- and slab-type reinforced concrete
structures.
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