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Tensile mechanical properties are important for the characterization of the utilization performances of materials. Inorganic particles are usually used to reinforce and toughen resins and to reduce costs in the polymer industry. It is, therefore, very important to quantitatively appraise the break way and mechanisms and the reinforcing or toughening effect of the fracture surface of tensile specimens. A tensile fracture surface fractal model of particulate-filled polymer composites on the basis of fractal theory is established and a corresponding equation for the tensile fracture surface fractal dimension is proposed in this article. Tensile fracture surface fractal dimensions of particulate-filled polymer composites at filler volume fractions of 2-30% were estimated by means of this equation, and the calculations were compared with the measuring values of calcium carbonate filled acrylonitrile-butadiene-styrene (ABS) resin and titanium dioxide filled ABS resin composites reported in the literature. The results show that the theoretic estimations and the measuring values were roughly close to each other.

Two kinds of multi-dimensional fractal functions were introduced, and the VB program was wrote based on the rule of the fractal functions, the programming operation to the simulation on the random rough surface was realized to display the randomness of rough surface visually. The results indicated that the simulation surface could reflect the random characterization of surface roughly.

The Polyvinyl-chloride (PVC) composites filled with micro-Calcium Carbonate (CaCO 3), submicro-CaCO 3 , nano-CaCO 3 and nano-coating micron CaCO 3 powder were prepared by the method of melt blending process. The tensile properties of the PVC/CaCO 3 composites were tested at the room temperature. The interfacial adhesion strength between the CaCO 3 particle and the PVC matrix was measured. The results showed that the tensile properties of the PVC/CaCO 3 composites were better than those of the pure PVC in the most conditions; the mechanical properties of the surface treated CaCO 3 filled PVC composites were better than the ones of the non-surface treated CaCO 3 filled PVC composites. The mechanical properties of the PVC composites filled with nano-coating micron heavy CaCO 3 were better than the ones of the he PVC composites filled with heavy CaCO 3 ; among the four types of CaCO 3 , the mechanical properties of the PVC composites filled common light CaCO 3 and ultra-fine light CaCO 3 were relatively better; as the interfacial interaction strength, the strength between the ultra-fine light CaCO 3 and the PVC matrix was maximum, the one between the common light CaCO 3 and the PVC matrix was minimum, the strength between the nano-coating micron heavy CaCO 3 and the matrix was bigger than that between the micron heavy CaCO 3 and the matrix, the strength between the CaCO 3 after being treated and the matrix was increased.

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