Page 141 - Zmist-n4-2015
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Fig. 2.                                                               Fig. 3.
                  Fig. 2. Effect of reinforcements on the grain size. I – Al + 5% TiO 2 ; II – Al + 5% TiO 2  + 2% Gr;
                                 III – Al + 5% TiO 2  + 6% Gr; IV – Al + 5% TiO 2  + 4% Gr;
                                   – Scherrer equation;  – Williamson-Hall equation.

                         Fig. 3. Compressibility curves for milled powders.  – Al;  – Al + 5% TiO 2 ;
                       – Al + 5% TiO 2  + 2% Gr;  – Al + 5% TiO 2  + 4% Gr;  – Al + 5% TiO 2  + 6% Gr.
                      Experimental  results  using  different  compressibility  equations.  Al–TiO 2–Gr
                  mixture powders were tested using the densification mathematical equation developed
                  by the Heckel and Balshin. The first equation of Heckel taking into account processes
                  occurring during pressing and this equation are applicable to metallic powders at 100…
                  700 MPa, where substantial rearrangement of particles occurs. Figs. 4, 5 show the re-
                  lationship between the relative density and applied pressure and regression equations
                  for Al + 0% TiO 2, Al + 5% TiO 2, Al + 5% TiO 2  + 2% Gr, Al + 5% TiO 2  + 4% Gr and
                  Al + 5% TiO 2 + 6% Gr samples. From the Balshin densification model, we understand
                  that the encouragement of TiO 2 and Gr amount on the linearity of the model. It is ob-
                  served  that  the  deviation  from  the  linearity  of  densification  curves  of  experimental
                  green compacts according in Heckel model is influenced by the presence of TiO 2 and
                  Gr reinforcing elements. The similar results were obtained by the authors in [14] who
                  reported for the aluminium based composites reinforced with silicon carbide particles
                  during compaction.

















                                                       Fig. 4.                                                                Fig. 5.
                                                                                  2
                  Fig. 4. Densification curves according to Balshin equation. (1) = 0.1058x + 1.7145 : R  = 0.96385;
                                                                     2
                                        2
                   (2) = 0.1131x + 1.6889 : R  = 0.9586; (3) = 0.1183x + 1.6723 : R  = 0.96536; (4) = 0.1298x +
                                                            2
                              2
                     + 1.6214 : R  = 0.99138; (5) = 0.1208x + 1.6547 : R  = 0.9787 (designations as in Fig. 3).
                                                                                   2
                  Fig. 5. Densification curves according to Heckel equation. y = 0.00714x + 0.9249 : R  = 0.9571;
                                                                    2
                                        2
                    y = 0.00573x + 0.9692 : R  = 0.9237; y = 0.00535x + 0.9552 : R  = 0.9127; y = 0.0.00446x +
                               2
                                                            2
                     + 0.9225 : R  = 0.9001; y = 0.00406x + 0.8338 : R  = 0.9127 (designations as in Fig. 3).
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