Comprehensive Analysis of Mechanical Properties of CB/SiO2/PVDF Composites

Damage is a key problem that limits the application of polymer membranes. In this paper, conductive carbon black (CB) and silicon dioxide (SiO2)-reinforced polyvinylidene fluoride (PVDF) composites were prepared using a solution mixing method. Through a uniaxial tensile test, the fracture and damage characteristics of the material were analyzed. When the structure had inevitable notch damage, changing the notch angle was very helpful for the material to bear more load. In addition, when there were two kinds of fillers in the PVDF matrix at the same time, there was an interaction between particles. The microstructure of the composite was characterized by scanning electron microscopy (SEM), energy-dispersive spectrometry (EDS), and thermogravimetric (TG) analysis. The experimental results indicate that, when the ratio of CB:SiO2:PVDF was 1:4:95, the general mechanical properties of the composite were the best.


Introduction
Compared with ordinary materials, composite materials have many characteristics which can improve or overcome the weakness of a single material, giving full play to the advantages of each material. The optimum performance design of materials can be carried out according to the functional requirements. Commonly used composite matrices are metal matrices, inorganic material matrices, and polymer matrices. In contrast, polymeric materials own good formability and are lightweight, which holds great promise for applications. Polyvinylidene fluoride (PVDF) is a typical polymer material widely used in various fields of engineering applications due to its excellent physical properties. Firstly, it has good thermal and mechanical properties. At a certain pressure and temperature, it can still maintain good mechanical strength. It is mainly used for valves, pipes, and heat exchangers. Secondly, PVDF has good chemical stability and can resist the corrosion of most organic solvents, inorganic acids, and aromatic hydrocarbons. It can be used for the storage and transportation of highly purified chemicals. Thirdly, PVDF has strong weather resistance, as well as high anti-fading and anti-ultraviolet performance in harsh environments. The composite material is mainly used in building walls, roads, and airports. Finally, PVDF has five different crystal types, among which the β crystal type of PVDF has excellent dielectric and piezoelectric properties. It is mainly used for ultrasonic measurement, pressure sensors, and detonation.
In the study of modified composites, carbon black (CB) is one of the main fillers used to improve the piezoelectric and mechanical properties of composites. Batteries, sensors, and piezoelectric films all need composite materials with more stable storage, sensing, and other functions [1][2][3]. Xu et al. [4]

Materials
The materials used in the experiment were PVDF, SiO2, CB, N,N-dimethylformamide (DMF, AR), and a silane coupling agent (KH550,AR). PVDF was purchased from Shanghai O-Fluorine Chemical Technology Co. Ltd., Shanghai, China. SiO2 with a 200-nm average diameter was purchased from Xilong Scientific Co. Ltd., Jiangsu, China. CB (30-45 nm) was purchased from XFNANO, INC., Jiangsu, China. Powder materials such as PVDF were dried in the oven before use. The chemicals were used without further purification in this work.

Preparation of Composite Films
The fabrication process of the composite samples was based on the method proposed in our previous work [20]. Firstly, CB was dissolved in a DMF solution at 700 rpm in a magnetic stirrer (MYP11-2, Chijiu Co., Shanghai, China). A certain amount of PVDF and silica powder was added to the liquid mixture and stirred for 3 h at 800 rpm. Secondly, the mixed solvent was dispersed for 10-15 min using an ultrasonic vibration machine. Appropriate low-power ultrasonic oscillation is beneficial to the uniform distribution of pores in the material. Strong mixing and ultrasonic shock was applied for two cycles; then, the well-mixed solution was poured into the mold for heating and drying. The prepared PVDF composite film had a smooth surface and a uniform thickness (as shown in Figure 1), and it was appropriately cut and tested.

Material Characterization
Uniaxial tensile tests were performed using a tensile tester (1023 Laboratory of mechanics experiment center) at room temperature. Referring to ASTM D 882-2012, the initial clamping distance was 50 mm and the total length of the sample was 150 mm. A cross-head speed of 5 mm/min was used. The detailed sample sizes are described in Section 3.1.
The surface and cross-section morphologies of the films were characterized by a Supra 55 SEM (Carl Zeiss AG, Oberkochen, Germany). The films were fractured in liquid nitrogen after 30 min of immersion and sprayed with a gold layer before being examined at different magnifications at an acceleration voltage of 5.0-10.0 kV.
The energy-dispersive EDS device was used to output the mapping and spectrum results, allowing the analysis of the composition of elements in the composite material, such as Si, O, C, F, etc.
XRD (PANalytical, Almelo, Netherlands) was used to analyze the morphological structure and surface characteristics of the films (referring to standard GB/T 17359-2012). The effects of filler type and filling amount on the crystallization behavior of the PVDF matrix in composites is discussed later.

Material Characterization
Uniaxial tensile tests were performed using a tensile tester (1023 Laboratory of mechanics experiment center) at room temperature. Referring to ASTM D 882-2012, the initial clamping distance was 50 mm and the total length of the sample was 150 mm. A cross-head speed of 5 mm/min was used. The detailed sample sizes are described in Section 3.1.
The surface and cross-section morphologies of the films were characterized by a Supra 55 SEM (Carl Zeiss AG, Oberkochen, Germany). The films were fractured in liquid nitrogen after 30 min of immersion and sprayed with a gold layer before being examined at different magnifications at an acceleration voltage of 5.0-10.0 kV.
The energy-dispersive EDS device was used to output the mapping and spectrum results, allowing the analysis of the composition of elements in the composite material, such as Si, O, C, F, etc.
XRD (PANalytical, Almelo, Netherlands) was used to analyze the morphological structure and surface characteristics of the films (referring to standard GB/T 17359-2012). The effects of filler type and filling amount on the crystallization behavior of the PVDF matrix in composites is discussed later.
The thermal properties of the composites were studied by thermogravimetric analysis (TG) and differential TG (DTG) according to the ASTM D7426-171 08(2013) standard. The instrument used in the experiment was an STA6000 (PerkinElmer, Waltham, MA, USA).

Effect of Notch Geometry on Stress-Strain Relationship of SiO 2 /PVDF
In this section, the effect of the sample notch angle on the mechanical properties of composites was studied. The modified filler ratios of SiO 2 /PVDF composites prepared were as follows: 0 wt.%, 2 wt.%, 4 wt.%, 6 wt.%, and 8 wt.% (SiO 2 ). The notch angles of the tested material were 60 • and 120 • , and the depth of each notch was a = 2 mm. The specific sample size was 10 mm × 150 mm, and the notch location was as shown in Figure 2a. The thermal properties of the composites were studied by thermogravimetric analysis (TG) and differential TG (DTG) according to the ASTM D7426-171 08(2013) standard. The instrument used in the experiment was an STA6000 (PerkinElmer, Waltham, MA, USA).

Effect of Notch Geometry on Stress-Strain Relationship of SiO2/PVDF
In this section, the effect of the sample notch angle on the mechanical properties of composites was studied. The modified filler ratios of SiO2/PVDF composites prepared were as follows: 0 wt.%, 2 wt.%, 4 wt.%, 6 wt.%, and 8 wt.% (SiO2). The notch angles of the tested material were 60° and 120°, and the depth of each notch was a = 2 mm. The specific sample size was 10 mm × 150 mm, and the notch location was as shown in Figure 2a. The thickness of the film samples was measured using a spiral micrometer. Each sample was measured three times to obtain the average value. The instrument used in this test was a Z010 electronic universal testing machine (Zwick), shown in Figure 2b. The distance between two fixed ends of the specimen was 50 mm, and the loading speed was 5 mm/min. In this experiment, each sample was measured five times on average. The strain-stress curves of the films were obtained from the experimental results, as shown in Figure 3. The tensile strength of the films increased with the increase in SiO2 content. When the content of SiO2 was about 6 wt.%, the tensile strength of the samples with different angle notches was the largest; however, when the filling content exceeded 6 wt.%, the tensile strength of the composites began decreasing.  In Table 1, the ultimate stress values of the single notch tensile test with different contents and different angles are listed. The experimental conditions of composite samples were the same, whereby the notch angles were 60° and 120°, respectively. In addition, unnotched specimens and (a) The thickness of the film samples was measured using a spiral micrometer. Each sample was measured three times to obtain the average value. The instrument used in this test was a Z010 electronic universal testing machine (Zwick), shown in Figure 2b. The distance between two fixed ends of the specimen was 50 mm, and the loading speed was 5 mm/min. In this experiment, each sample was measured five times on average. The strain-stress curves of the films were obtained from the experimental results, as shown in Figure 3. The tensile strength of the films increased with the increase in SiO 2 content. When the content of SiO 2 was about 6 wt.%, the tensile strength of the samples with different angle notches was the largest; however, when the filling content exceeded 6 wt.%, the tensile strength of the composites began decreasing. The thermal properties of the composites were studied by thermogravimetric analysis (TG) and differential TG (DTG) according to the ASTM D7426-171 08(2013) standard. The instrument used in the experiment was an STA6000 (PerkinElmer, Waltham, MA, USA).

Effect of Notch Geometry on Stress-Strain Relationship of SiO2/PVDF
In this section, the effect of the sample notch angle on the mechanical properties of composites was studied. The modified filler ratios of SiO2/PVDF composites prepared were as follows: 0 wt.%, 2 wt.%, 4 wt.%, 6 wt.%, and 8 wt.% (SiO2). The notch angles of the tested material were 60° and 120°, and the depth of each notch was a = 2 mm. The specific sample size was 10 mm × 150 mm, and the notch location was as shown in Figure 2a. The thickness of the film samples was measured using a spiral micrometer. Each sample was measured three times to obtain the average value. The instrument used in this test was a Z010 electronic universal testing machine (Zwick), shown in Figure 2b. The distance between two fixed ends of the specimen was 50 mm, and the loading speed was 5 mm/min. In this experiment, each sample was measured five times on average. The strain-stress curves of the films were obtained from the experimental results, as shown in Figure 3. The tensile strength of the films increased with the increase in SiO2 content. When the content of SiO2 was about 6 wt.%, the tensile strength of the samples with different angle notches was the largest; however, when the filling content exceeded 6 wt.%, the tensile strength of the composites began decreasing.  In Table 1, the ultimate stress values of the single notch tensile test with different contents and different angles are listed. The experimental conditions of composite samples were the same, whereby the notch angles were 60° and 120°, respectively. In addition, unnotched specimens and (a) In Table 1, the ultimate stress values of the single notch tensile test with different contents and different angles are listed. The experimental conditions of composite samples were the same, whereby the notch angles were 60 • and 120 • , respectively. In addition, unnotched specimens and samples with a 30 • notch angle were also tested previously, and the data were published [20]. Here, the data (stress data of unnotched specimens and samples with a 30 • notch angle) were directly used and compared with the 60 • and 120 • notch samples. The tensile results showed that a larger opening Polymers 2020, 12, 146 5 of 13 angle resulted in a higher tensile strength. This may be due to stress concentration at the notch; a smaller notch angle denoted it being closer to the crack, accelerating the crack growth under load. In Table 1, the stress values of unnotched samples are compared with notched (30 • data from [20], 60 • , and 120 • ) samples. In the beginning of this paper, we reviewed the vital importance of fillers in terms of the mechanical and electrical properties of PVDF matrix composites. The study of Ke et al. [21] showed that, when the filler content of CB in the PVDF/CB system was 1.81 wt.%, the volume resistivity approached 10 13 , and, when the filler was increased to 4 wt.%, the volume resistivity decreased to about 10 3 . Huang et al. [22] found that, with the increase in CB load, the electrical conductivity of composites increased obviously. The fastest growth occurred when the content was 3 wt.%. According to the above literature, the PVDF matrix can exhibit better electrical properties after modification of the CB (<8 wt.%) filler. Based on this, we focused on the mechanical properties of CB/PVDF composites. A series of representative samples were prepared, and the proportion of CB modified filler was 0.5 wt.%, 1 wt.%, 2 wt.%, 4 wt.%, or 6 wt.%. Referring to ASTM D 882-2012, the sample size of the CB/PVDF composite film was 10 mm × 150 mm. For each film, the results were the averaged values of five samples.
The mechanical effect of CB on the PVDF matrix is shown in Figure 4 and Table 2. We found that the tensile strength of the composites increased with the increase in CB content, but not uniformly. When the content of CB was 2 wt.%, the tensile strength of the composite was 39.960 MPa. The strain of the composite material reached the maximum value of 0.4 set by the tensile test. As the weight fraction of CB was increased to 6 wt.%, the tensile strength of the composite decreased to 34.845 MPa, and its strain decreased to 0.071. At the end of the experiment, there was no obvious plastic deformation in the fracture samples, and the fracture was flat and bright. This may have been due to the addition of CB hindering the movement of the PVDF molecular chain, which reduced the elasticity and the elongation of the composite.  The results showed that CB can enhance the mechanical properties of PVDF materials. When CB (2 wt.%) was added into the PVDF polymer, the tensile strength was 139.76% higher than that of the pure PVDF material. Electrical conductivity increased 10-fold and physical resistivity decreased 10fold [21,22]. However, the addition of CB content could improve the electrical properties, but it  The results showed that CB can enhance the mechanical properties of PVDF materials. When CB (2 wt.%) was added into the PVDF polymer, the tensile strength was 139.76% higher than that of the pure PVDF material. Electrical conductivity increased 10-fold and physical resistivity decreased 10-fold [21,22]. However, the addition of CB content could improve the electrical properties, but it reduced the tensile strength of the composite.

SEM and EDS Analysis of CB/PVDF Composites
The dispersion of the filler in a matrix affects the interaction between the polymer and filler, which is very important to the mechanical properties of polymer composites [18]. In order to confirm the composition of the composite material, and to observe the dispersion and mixing of CB particles in the PVDF matrix, SEM observations were carried out on the samples, as shown in Figure 5. The SEM surface micrographs of the samples showed that the surface of the composite film was smooth, and the distribution of particles in the composite film was relatively uniform. In the fracture surface micrographs of Figure 5b, at 20,000× magnification, the section was regular, and some particles were clustered together, but this was not obvious. The results showed that CB can enhance the mechanical properties of PVDF materials. When CB (2 wt.%) was added into the PVDF polymer, the tensile strength was 139.76% higher than that of the pure PVDF material. Electrical conductivity increased 10-fold and physical resistivity decreased 10fold [21,22]. However, the addition of CB content could improve the electrical properties, but it reduced the tensile strength of the composite. The dispersion of the filler in a matrix affects the interaction between the polymer and filler, which is very important to the mechanical properties of polymer composites [18]. In order to confirm the composition of the composite material, and to observe the dispersion and mixing of CB particles in the PVDF matrix, SEM observations were carried out on the samples, as shown in Figure 5. The SEM surface micrographs of the samples showed that the surface of the composite film was smooth, and the distribution of particles in the composite film was relatively uniform. In the fracture surface micrographs of Figure 5b, at 20,000× magnification, the section was regular, and some particles were clustered together, but this was not obvious.   Figure 6a-c show the distribution diagram of C, F, and O elements on the surface of the composite film. There was a high proportion of C on the surface of the modified film, in addition to O, F, and other elements. A stable presence of C also confirmed the uniform distribution of CB on the PVDF composite films. The EDS spectrum in the range of 0-10 keV is shown in Figure 6d, because no peaks were detected at energies higher than 10 keV. Samples filled with the nanoparticles showed the characteristic peaks of F, C, and O elements at 0.277 keV, 0.525 keV, and 0.677 keV, respectively. Moreover, the atomic ratio of the CB/PVDF composite in this work detected by EDS is shown in Figure 6d. Because CB conductive tape was used as a carrier in the EDS test, the measured C content was relatively high.
surface of the modified film, in addition to O, F, and other elements. A stable presence of C also confirmed the uniform distribution of CB on the PVDF composite films. The EDS spectrum in the range of 0-10 keV is shown in Figure 6d, because no peaks were detected at energies higher than 10 keV. Samples filled with the nanoparticles showed the characteristic peaks of F, C, and O elements at 0.277 keV, 0.525 keV, and 0.677 keV, respectively. Moreover, the atomic ratio of the CB/PVDF composite in this work detected by EDS is shown in Figure 6d. Because CB conductive tape was used as a carrier in the EDS test, the measured C content was relatively high.

Effect of CB and SiO2 Contents on Tensile Properties of Composites
In this section, all films were fabricated with the same preparation process, and the proportions and fillers were different; CB (0.5 wt.%, 1 wt.%, 2 wt.%, 4 wt.%, 6 wt.%) and SiO2 (2 wt.%, 4 wt.%, 6 wt.%) materials with different contents in the PVDF matrix were selected, as shown in Table 3. The test results showed that, when the content of SiO2 and CB was 2 wt.%, the tensile strength of CB was the highest, reaching 37.89 MPa. When the SiO2 content was 4 wt.% and the CB content was 1 wt.%, the tensile strength of the composite reached 44.76 MPa. When the content of SiO2 was 6 wt.% and the CB content was 1 wt.%, the tensile strength was 32.13MPa. It was found that 1 wt.% CB/4 wt.% SiO2/PVDF composite had the largest tensile strength and the greatest strain after a series of tests, as shown in Figure 7.

Effect of CB and SiO 2 Contents on Tensile Properties of Composites
In this section, all films were fabricated with the same preparation process, and the proportions and fillers were different; CB (0.5 wt.%, 1 wt.%, 2 wt.%, 4 wt.%, 6 wt.%) and SiO 2 (2 wt.%, 4 wt.%, 6 wt.%) materials with different contents in the PVDF matrix were selected, as shown in Table 3. The test results showed that, when the content of SiO 2 and CB was 2 wt.%, the tensile strength of CB was the highest, reaching 37.89 MPa. When the SiO 2 content was 4 wt.% and the CB content was 1 wt.%, the tensile strength of the composite reached 44.76 MPa. When the content of SiO 2 was 6 wt.% and the CB content was 1 wt.%, the tensile strength was 32.13MPa. It was found that 1 wt.% CB/4 wt.% SiO 2 /PVDF composite had the largest tensile strength and the greatest strain after a series of tests, as shown in Figure 7.

SEM and EDS Analysis of CB/SiO2/PVDF Composites
The morphological structure of the composite films was observed by SEM. The surface and cross-section micrographs of the near-surface skin layer are shown in Figures 8 and 9. The SEM surface images (Figure 8) clearly proved the existence of SiO2 particles on the surface of SiO2/PVDF hybrid films, and the dispersion of SiO2 particles was good. With the increase in SiO2 content, the distribution of particles on the sample surface obviously increased. A small number of particles were distributed unevenly, but this was not overly apparent. The film showed an asymmetric structure in

SEM and EDS Analysis of CB/SiO 2 /PVDF Composites
The morphological structure of the composite films was observed by SEM. The surface and cross-section micrographs of the near-surface skin layer are shown in Figures 8 and 9. The SEM surface images (Figure 8) clearly proved the existence of SiO 2 particles on the surface of SiO 2 /PVDF hybrid films, and the dispersion of SiO 2 particles was good. With the increase in SiO 2 content, the distribution of particles on the sample surface obviously increased. A small number of particles were distributed unevenly, but this was not overly apparent. The film showed an asymmetric structure in the cross-section SEM micrographs. In Figure 9b,d, filamentary sections could be seen under 5000× and 50,000× magnification, respectively. The ductility changed well during the tensile test. The nano-SiO 2 particles on the surface were clear and evenly distributed.
The EDS spectra of the surface are provided in Figure 10. The main peak of F was at 0.677 keV and the strong peak of C was at 0.227 keV. These two elements were abundant because they are the backbone of PVDF. The peak value of Si at 1.740 keV and the peak value of O at 0.525 keV were also detected, indicating the presence of SiO 2 in the composite. The content of SiO 2 in Figure 10a,c was 1 wt.% and 6 wt.%, respectively. It can be seen that the distribution of Si and O elements in Figure 10c increased significantly, which was consistent with the results of the energy spectrometry. A steady presence of Si throughout the sample also confirmed the uniform distribution of C and Si across the CB/SiO 2 /PVDF composite film. The EDS results confirmed the presence of SiO 2 in the composites and met the expected amount.
Polymers 2020, 12, 146 9 of 13 the cross-section SEM micrographs. In Figure 9b,d, filamentary sections could be seen under 5000× and 50,000× magnification, respectively. The ductility changed well during the tensile test. The nano-SiO2 particles on the surface were clear and evenly distributed.  Polymers 2020, 12, 146 9 of 13 the cross-section SEM micrographs. In Figure 9b,d, filamentary sections could be seen under 5000× and 50,000× magnification, respectively. The ductility changed well during the tensile test. The nano-SiO2 particles on the surface were clear and evenly distributed.  detected, indicating the presence of SiO2 in the composite. The content of SiO2 in Figure 10a,c was 1 wt.% and 6 wt.%, respectively. It can be seen that the distribution of Si and O elements in Figure 10c increased significantly, which was consistent with the results of the energy spectrometry. A steady presence of Si throughout the sample also confirmed the uniform distribution of C and Si across the CB/SiO2/PVDF composite film. The EDS results confirmed the presence of SiO2 in the composites and met the expected amount.

XRD Analysis of CB/SiO2/PVDF Composites
Sardarabadi et al. [16] found that the XRD patterns of pure PVDF films show two obvious peaks at 2θ ≈ 18.2548° and 19.9406°, which reflect the characteristics of an α crystal. With the addition of the CB filler, the XRD patterns of the PVDF composite film and pure PVDF film are significantly different.
For the PVDF film filled with CB, only one peak appeared at 20.6580°, which was mainly the feature of a β crystal. This section mainly studied the polycrystalline state of the PVDF composite film by XRD, as shown in Figure 11. The CB/SiO2/PVDF composite films exhibited similar diffraction peaks at 20.687°, corresponding to (2 0 0) planes of PVDF crystals in the β phase. There was a weak X-ray diffraction peak at 2θ ≈ 38.609° in the PVDF film, which was the characteristic diffraction peak on the crystal faces of (1 1 1) and (2 0 1) of the PVDF β phase. The results showed that PVDF in the

XRD Analysis of CB/SiO 2 /PVDF Composites
Sardarabadi et al. [16] found that the XRD patterns of pure PVDF films show two obvious peaks at 2θ ≈ 18.2548 • and 19.9406 • , which reflect the characteristics of an α crystal. With the addition of the CB filler, the XRD patterns of the PVDF composite film and pure PVDF film are significantly different.
For the PVDF film filled with CB, only one peak appeared at 20.6580 • , which was mainly the feature of a β crystal. This section mainly studied the polycrystalline state of the PVDF composite film by XRD, as shown in Figure 11. The CB/SiO 2 /PVDF composite films exhibited similar diffraction peaks at 20.687 • , corresponding to (2 0 0) planes of PVDF crystals in the β phase. There was a weak X-ray diffraction peak at 2θ ≈ 38.609 • in the PVDF film, which was the characteristic diffraction peak on the crystal faces of (1 1 1) and (2 0 1) of the PVDF β phase. The results showed that PVDF in the prepared CB/SiO 2 /PVDF film was mainly in the polar phase. The addition of CB and SiO 2 nanoparticles did not lead to the formation of the non-polar α crystal phase in the PVDF composite. The main diffraction peaks of the samples were at 20.687 • , indicating the existence of the polar β phase.
prepared CB/SiO2/PVDF film was mainly in the polar phase. The addition of CB and SiO2 nanoparticles did not lead to the formation of the non-polar α crystal phase in the PVDF composite. The main diffraction peaks of the samples were at 20.687°, indicating the existence of the polar β phase.

TG Analysis of CB/SiO2/PVDF Composites
The thermal properties of the polymer were studied by DTG and TG. The temperature change curves of DTG and TG of the composite materials are shown in Figure 12. The test sample was 9.0682 mg in mass, and the heating rate was 10 °C/min. The results showed that the thermal weight loss temperature of PVDF composites was more than 5% above 430 °C, and the residual mass was 31.81% at 795.83 °C in a nitrogen atmosphere. The data of the TG curve and DTG curve almost corresponded with each other. The thermal degradation temperature of the composite material was high, which indicated that the material had good thermal stability.

Conclusions
In the process of practical application, cracks and other damage problems are inevitable. The analysis of the fracture damage mechanism of composite materials will help to improve the bearing capacity of materials. In this paper, the fracture damage of composite materials was studied. The relationship between the different notch forms and the mechanical properties of the composite was obtained.
The analysis of the effect of CB on the mechanical properties of the PVDF matrix indicated that the optimal performance was observed when CB content was 2 wt.%. The elongation was more than 40%, and the tensile stress was 11.374 MPa, which was 39.788% higher than that of pure PVDF.

TG Analysis of CB/SiO 2 /PVDF Composites
The thermal properties of the polymer were studied by DTG and TG. The temperature change curves of DTG and TG of the composite materials are shown in Figure 12. The test sample was 9.0682 mg in mass, and the heating rate was 10 • C/min. The results showed that the thermal weight loss temperature of PVDF composites was more than 5% above 430 • C, and the residual mass was 31.81% at 795.83 • C in a nitrogen atmosphere. The data of the TG curve and DTG curve almost corresponded with each other. The thermal degradation temperature of the composite material was high, which indicated that the material had good thermal stability.
The main diffraction peaks of the samples were at 20.687°, indicating the existence of the polar β phase.

TG Analysis of CB/SiO2/PVDF Composites
The thermal properties of the polymer were studied by DTG and TG. The temperature change curves of DTG and TG of the composite materials are shown in Figure 12. The test sample was 9.0682 mg in mass, and the heating rate was 10 °C/min. The results showed that the thermal weight loss temperature of PVDF composites was more than 5% above 430 °C, and the residual mass was 31.81% at 795.83 °C in a nitrogen atmosphere. The data of the TG curve and DTG curve almost corresponded with each other. The thermal degradation temperature of the composite material was high, which indicated that the material had good thermal stability.

Conclusions
In the process of practical application, cracks and other damage problems are inevitable. The analysis of the fracture damage mechanism of composite materials will help to improve the bearing capacity of materials. In this paper, the fracture damage of composite materials was studied. The relationship between the different notch forms and the mechanical properties of the composite was obtained.
The analysis of the effect of CB on the mechanical properties of the PVDF matrix indicated that the optimal performance was observed when CB content was 2 wt.%. The elongation was more than 40%, and the tensile stress was 11.374 MPa, which was 39.788% higher than that of pure PVDF.

Conclusions
In the process of practical application, cracks and other damage problems are inevitable. The analysis of the fracture damage mechanism of composite materials will help to improve the bearing capacity of materials. In this paper, the fracture damage of composite materials was studied. The relationship between the different notch forms and the mechanical properties of the composite was obtained.
The analysis of the effect of CB on the mechanical properties of the PVDF matrix indicated that the optimal performance was observed when CB content was 2 wt.%. The elongation was more than 40%, and the tensile stress was 11.374 MPa, which was 39.788% higher than that of pure PVDF.
When there were two kinds of modified materials (CB and SiO 2 ) in PVDF, an interaction between different fillers was formed. The optimum ratio of the filler content in the tensile mechanical properties of the CB/SiO 2 /PVDF composite was CB:SiO 2 :PVDF = 1:4:95. The related tensile strength was 23.933% higher than 1 wt.% CB/PVDF and 56.580% higher than pure PVDF.
Microscopic characterization, i.e., SEM and EDS, showed that CB and SiO 2 nanoparticles were well combined within the PVDF matrix. After magnetic stirring and ultrasonic dispersion, there was no obvious agglomeration, which denoted a good strengthening effect on the fracture performance of the PVDF matrix.
Future research should focus on the piezoelectric properties, as well as the mechanical and thermodynamic properties, of polymer (CB/PVDF, SiO 2 /PVDF) composites. Authors should discuss the results and how they can be interpreted relative to previous studies and working hypotheses. The findings and their implications should be discussed in the broadest context possible. Future research directions may also be highlighted.