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Research Article: Tawashi & AlAmoudi                                                            61








                                        Research Article

                                          Mathematical Modeling of the Self-Compacting Concrete Samples
            SJSI                                 Behavior Produced from the Syrian Raw Materials






                                                                     Abstract

           Authors:                     The  main  purpose  of  the  research  is  to  find  a  mathematical  model
           Ammar.Tawashi                describing the behaviour of self-compacting concrete SCC produced from
           Soleman Al-Amoudi            local raw materials only by using mathematical analysis and experimental
                                        test results. Three mixtures of SCC were produced: the mixtures with a
                                        cement quantity of (550 kg/m3) had been shown satisfying results in the
                                        fresh and hardened states and an increase in compression strength up to
           Affiliation:                 (12%)  and  a  decrease  in  the  W/C  ratio  to  (13%)  compared  to  the
           Department          of       reference samples. The stress-strain (σ,ε) curve was measured for them
           Structural  Engineering,     and compared with the reference curves. The results showed incomplete
           AL-Baath    University-      similarity and the convergence of the curves reaching up to (80%). The
           Homs-Syria
                                        closest curve that describes the case is the "POPOVICS" curve with its
           Submitted 05 Feb 2023        ascending  part  and  the  European  Code  "EURO-CEB"  curve  with  its
           Accepted 31 Mar 2023         descending  part.  To  avoid  the  presence  of  two  completely  different
           Correspondence:
           atawashi@albaath-univ.edu.sy   mathematical equations describing the (σ,ε) curves for the SCC made of
                                        local  materials,  a  mathematical  equation  was  derived  that  has  one
                                        general form, for the two parts of the ascending-descending curve. A
                                        direct mathematical calculation and find (σ,ε) curve has been done which
                                        accurately describes the behavior of the SCC whatever the quantity of
                                        cement.
                                        Keywords: Self-Compacting Concrete, Stress-Strain, Euro-CEB, Popovics,
                                        Mathematical Formula.


                                          List of Abbreviations
                                          (SCC) Self-Compacting Concrete
                                          (σ-ε) The Stress- Strain in Concrete
                                          (SF) Slump Flow
                                          (DJ) J-Ring Test
                                          (VSI) Visual Stability Index
                                          (SR) Segregation Test
                                          (HRW) High Reduction Water
                                          (W/C) Water/Cement Ratio





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