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Research Article: Tawashi & AlAmoudi 62

M studied self-compacting concrete containing
Introduction
[5]
any researchers are concerned with
fine filler additives, such as flying ash . That
studying the behavior of concrete
gives the concrete distinctive fresh and
under the influence of compression
This paper will present the production of self-
loads. Then giving proposals for mathematical hardened properties.
models through a mathematical extrapolation compacting concrete SCC clear of fine fillers by
that explains the material behavior, which is using cement as a fine material that is available
determined by the relation between stress and and representative of those additives’ fillers.
strain (σ,ε). However, most of the proposed
mathematical equation depend mainly on the Materials and Methods
results of the experimental tests which could be Many previous studies and research have
similar in the general shape with variation in the discussed the performance of concrete and
terms of its application, while depending on the described its behavior using the stress-strain
mechanical, chemical, and physical properties curves (σ,ε). This expresses the mechanical
of the various particles of concrete. In behavior of the material [6] , throughout
comparison with the studies that were carried deducing a formula that enables us to analyze
out on concrete containing chemical and filler the behavior of concrete mathematically. In
additives, such as hydraulic, pozzolanic 1951, HOGNESTAD proposed mathematical
materials, and chemical additives such as formula (equations 1 and 2), this enables us to
[1]
plasticizers , the topic of SCC self-compacting describe the relationship between stress and
concrete containing improved materials and strain in the ascending, and descending parts of
[7]
the effect of these materials on the molecular curves for traditional concrete. Figure /1/. So,
structure of the material is considered an stress f_c is calculated as a function of the
important one for research. This is due to the relative strain( ). .

effectiveness and wide spread of this type of 2
′
,1 = 0.85 [2 − ( ) ] 0 > > (1)

modern concrete SCC in many engineering
applications. Mohammed H M presented an 2
′
,2 = 0.85 [1 − 0.15 ( − ) ] > > (2)

experimental investigation on the stress-strain −
[2]
behavior of normal and high-strength self- : the stress of the concrete in the ascending
compacting concrete, with two different ,1
part MPa.
maximum aggregate sizes. The results show
that the ascending parts of the stress-strain : the stress of the concrete in the descending
,2
curves become steeper as the compressive part MPa.
strength increases, and maximum aggregate
size decreases. Jianjie Yu studied the changing ′ : the maximum compression strength of the

regularity of rubber particles' impact on self- concrete MPa.
compacting concrete deformation performance
[3] . The results show that the rubber particles in : the strain corresponding to the maximum

self-compacting concrete is more uniform compression strength of the concrete.
distribution, compared with the reference : the critical strain of the concrete.
group. In addition, Selvi K presented an
experimental investigation on the modulus of : the strain of the concrete

elasticity of self-compacting concrete, involving
various flying ash proportions [4] , where the
stress-strain relationship was studied for the
M20 concrete mix. All previous research has

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