Abstract
In this work, the cellular morphology of polypropylene (PP)/calcium carbonate (CaCO3) composite films was optimized with respect to piezoelectric cellular films criteria. To do this, a series of PP films filled with CaCO3 micro-particles of three different particle sizes (3, 6 and 12 microns) were developed at various weight concentrations (3 to 44 wt. %). Before going through a gas diffusion expansion (GDE) step to inflate the initiated cells, all composite films were first produced via extrusion/calendaring then biaxially stretched to initiate the cellular structure by interfacial delamination between the CaCO3 particles and PP matrix. After biaxial stretching and GDE, it was observed that only films with filler contents above 23 wt.% and 12 μm particle size presented a well-developed cellular structure. By optimizing the extrusion, biaxial stretching and GDE steps, we were able to generate a required cellular morphology where the average cell height ranged between 5 and 8 μm, which is considered good for further Corona charging. Also, the average cell aspect ratio (cell length divided by cell height) ranged between 4 and 10 with an average cell wall thickness between 7 and 12 μm, which is also considered as optimum for good piezoelectric properties.
Introduction
Piezoelectric cellular polymer films are considered as a good alternative to poly-vinylidene fluoride (PVDF) films, showing a piezoelectric coefficient of at least 200 pC/N, which is around 100 times higher than that of quartz, 10 times higher than that of PVDF, and equivalent or higher than that of lead zirconate titanate [1–3]. Like in ceramics or natural crystals, oriented dipoles in cellular polymer piezoelectric materials, originating from spatial charges distribution, are required to generate measurable electric potential on two parallel surfaces following mechanical (pressure) stimulation. If there is an intrinsic electrical dipole moment in the material, then electrical stimulation leads to a mechanical response, as sketched in

(a) Schematic representation of the direct piezoelectric effect in a crystal. F is the applied force and V is the voltage. (b) Illustration of a Corona charged cellular polymer film
Usually, a polymer matrix is filled with small solid particles, such as CaCO3, serving as cell initiators. The mixture is extruded through a flat die to get a thin sheet, which is cooled down using a calendaring system [9]. Unfortunately, the literature is very scarce on the exact materials and processing parameters to use as guidelines, like filler size and concentration, stretching temperature, stretching ratio, etc. Nevertheless, filler concentration varying between 5 and 30 wt.% are frequently reported [7, 9–13].
The biaxial stretching ratio (rs) is the number of times the sample is stretched (with respect to its initial dimensions) in the extrusion (machine) direction (MD) and perpendicular to the extrusion (transverse) direction (YD). This ratio is generally used to control the film thickness reduction and to produce flat cells. By assuming that the volume of the stretched film is constant, the thickness reduction rate hr (%) is given by [10]:
For piezoelectric characterization of cellular films, the quasi-static piezoelectric coefficient, d33 (pC/N), simplified model is generally used [10, 11]:
During the Corona charging process, the amount of charges accumulated on the sample is responsible for the charging field in the cells. The charge density ς is inversely proportional to the sample thickness, which in turn limits the minimum cell height at which micro-discharges can occur for a given inflating gas pressure [20, 23, 25, 28–30]. As a reference point, the minimum cell height required for the charging process to be successful at a gas pressure of 100 kPa is 8.8 μm considering the sample thickness and breakdown voltage [30]. Qaiss et al. [31] made some modifications of Equation (2) and obtained a maximum d33 coefficient for a specific film thickness after stretching at hr < 100 μm and 0.1 < ρ r < 0.4.
They also showed that films thicker than 100 μm had a low d33 piezoelectric coefficient, which was also observed by Paajanen et al. [30]. Finally, it is important to mention that charge retention on the opposite sides of the cells is important for piezoelectric films stability. It was shown that the crystalline phase of the polymer accumulates more charges than the amorphous phase [30]. Then, by increasing the polymer crystallinity, charge retention is consequently improved.
Based on the above literature results,
Optimization path proposed to maximize the d33 piezoelectric coefficient (Equation 2)
The main objective of this experimental work is to use various CaCO3 fillers of different particle size distributions and to compare their effect on PP/CaCO3 cellular morphology with respect to the above targeted values. We present the details of the whole processing conditions that were optimized to reach the aimed cellular morphology. The results will be mainly discussed in terms of CaCO3 particle size and its effect on the final film cellular structure such as cell height, cell aspect ratio and cell wall thickness.
Materials and Film Development Conditions and Properties
The PP used was supplied by Lyondell Basell, Canada under the trademark Pro-fax 6323. This homopolymer has a density of 900 kg/m3, a tensile strength and elongation at yield of 34 MPa and 10%, respectively, and a melt flow index of 12 g/10 min (230°C/2.16 kg). Its intrinsic viscosity at room temperature is 1.99 dl/g and its weight-average molecular weight is 2.36×105 [32]. Since piezoelectric films sustain several cyclic stresses, PP was chosen because it has good fatigue resistance. It is also low cost, easy to process and has well-known processing conditions. The three CaCO3 used [Snowhite 3 (SW3), Omyacarb 6 (OM6) and Snowhite 12 (SW12)] were supplied by Omya Canada Inc. Their respective average particle diameters were 3, 6 and 12 μm.
Initial sheets of around 1.0 mm in thickness were obtained using a co-rotating Leistritz ZSE18HP-40D twin-screw extruder with a temperature profile of 210-210-215-215-215-215-210-205-185°C (from the main hoper to the die) and a screw rotational speed maintained constant at 275 rpm. A flat die of 150 mm was adjusted to an opening of 1 mm and heated at 185°C. The three rolls (200 mm width and 140 mm diameter) calendaring system was set at 68°C using an oil bath cooling circuit. The rolls were positioned at 0.9 mm apart and set at a pulling rotational speed of 1.15 rpm. The die to rolls distance was approximately 4 cm. The PP feeding rate was fixed at 3.33 kg/h, while that of CaCO3 was changed to get various concentrations.
Square samples of 8.5 cm x 8.5 cm were cut from the extruded sheets for the post-extrusion stretching step. Before their biaxial stretching, all samples were annealed at 140°C (10 minutes) under a force of approximately 4500 N to make their thickness more uniform and increase their crystallinity. For each blend composition, three samples were stretched using a Bruckner Karo IV laboratory-stretching machine (stretched area of 7 cm x 7 cm). The samples were rapidly pre-heated at 160°C for 60 s then biaxially stretched using a pantograph clipping system as shown in

Brückner stretcher showing the stretched PP/CaCO3 sample after its extraction from the hot air oven
Following the stretching step, all samples were submitted to gas (nitrogen) diffusion expansion (GDE) using a progressive method in a homemade device enabling a pressure treatment up to 6 MPa at temperatures from 25°C to 150°C [10]. Since a high pressure is applied to the sample under high temperature, this makes it easier for nitrogen to diffuse inside the PP matrix then to penetrate inside the cells until pressure equilibrium. A subsequent sudden release of the external pressure leads to cell inflation due to the high pressure already built inside the cells. This step is followed by a rapid cooling to solidify the sample and maintain its cellular structure. A second method, the two-step inflation (long- time GDE), was also used for comparison [18]. Both methods sequences are detailed in

GDE sequences for: (a) long-time GDE, and (b) progressive GDE. (solid lines: applied pressure; dashed lines: applied temperature)
Film thickness was measured using a Mitutoyo Digimatic micrometer with a resolution of 1 urn. For each extruded sample, 21 measurements were randomly taken before stretching and 63 measurements were taken after stretching. Moreover, 7 measurements were also taken at the centre of the stretched sample, where the thickness is the most uniform.
The crystallinity was measured using a Perkin-Elmer DSC 7 and Pyris Software. Samples of 5 to 22 mg were tested under the following thermal sequence: i) a first heating from 50 to 190°C at 10°C/min, ii) cooling from 190 to 50°C at 10°C/min, and iii) a second heating from 50 to 190°C at 10°C/min. All measurements were performed under a nitrogen atmosphere (20 mL/min). Since the crystallinity of the samples after each processing step was needed, only the area under the first peak (120 to 170°C) was used to compute the melting enthalpy. The value of 207.1 J/g was used as the 100% crystalline PP melting enthalpy [35].
Finally, the cellular morphology was characterized using scanning electron microscopy (SEM) and ImageJ software to perform the analysis of the manually identified cellular structure. The microscope used was a JEOL JSM-840A operated at 15 kV and pictures were taken at three magnifications: 150, 300 and 1000X. To get a good statistical analysis, at least three different pictures per film were taken at 300X, which was enough to measure cell dimensions greater than 2 urn (see Figure 4). This analysis was performed in two directions: parallel (MD) and perpendicular (transverse, TD) to the extrusion direction.

Example of SEM image (300X) of a film cross-section showing how cell morphology is characterized using the ImageJ software. The image identifies ellipsoidal cells from which the length (a), the height (b) and the aspect ratio (a/b) were computed
Developed PP/CaCO3 Films and their Corresponding Thickness and Composition
To measure the exact CaCO3 concentration inside the extruded PP films, different PP/SW3, PP/OM6 and PP/SW12 films were characterized by thermogravimetric analysis (TGA) from 50 to 950°C at 10°C/min under a nitrogen atmosphere (TA instruments Q5000IR). For all films, the CaCO3 mass was assumed to be equal to that of the residues after complete polymer decomposition at around 475°C. The corresponding results are shown in
Extruded film properties before biaxial stretching
Extruded film properties before biaxial stretching
As mentioned above in Section 2.1, during sample levelling (before stretching), all samples were subjected to annealing at 140°C for a short time then cooled down slowly to increase their crystallinity which is important for piezoelectric films since the interface between the amorphous and crystalline zones constitute an obstacle to electric charges drift retaining these charges for longer time.

Crystallinity of PP/SW12 (closed symbols) and PP/OM6 (open symbols) films as a function of filler concentration before and after biaxial stretching
The size distribution of CaCO3 particles is an important parameter to generate a filler/matrix decohesion over a wide range of particle size.

Particle size distribution of the CaCO3 particles (SW3, OM6 and SW12) based on their equivalent spherical diameter using the ImageJ software

SEM micrographs (300X magnification in the perpendicular direction, MD) of PP/CaCO3 cellular films developed using the progressive GDE method: a) 18 wt.% of SW3; b) 26 wt.% of OM6; and c) 45 wt.% of SW12
Analyzing the film thickness reduction ratio hr after the biaxial stretching step gives an important information about the interactions between the CaCO3 particles and the PP matrix. First, it should be mentioned that the standard deviation of the thickness reduction ratio over the whole sample surface qualifies film thickness uniformity.

Average film thickness reduction ratio as a function of CaCO3 concentration. Open symbols: SW12 and closed symbols: OM6
Since the literature reports several GDE techniques used to inflate the cells, we first compared the cellular morphology of selected PP/SW12 films obtained by the progressive GDE technique with the so-called long-time GDE technique [10, 18]. Both techniques are presented in
Influence of the GDE method on the average aspect ratio (a/b) and average cell wall thickness (t) in the machine direction (MD) for PP/SW12 films. Values in parentheses correspond to the standard deviations and n is the number of cells analyzed
Influence of the GDE method on the average aspect ratio (a/b) and average cell wall thickness (t) in the machine direction (MD) for PP/SW12 films. Values in parentheses correspond to the standard deviations and n is the number of cells analyzed
The progressive GDE technique was then selected to develop PP/SW12 cellular films at four various SW12 concentrations (11.0, 23.0, 38.0 and 44.0 wt.%). These films were characterized for their cellular morphology in terms of cell aspect ratio (a/b), cell height (b), and cell wall thickness (t). It is important to mention that the aspect ratio is a key factor in reducing the Young's modulus of the cellular films. In

Average a/b aspect ratio (a); average cell height b (b), and average cell wall thickness t (c), as a function of SW12 concentration, in both MD and TD after progressive GDE
A cellular PP/CaCO3 film structure was developed by twin-screw extrusion followed by biaxial stretching and finally gas diffusion expansion. In particular, a focus was made on the influence CaCO3 sizes (3, 6, and 12 urn) and concentration (11–44 wt.%) on the cellular morphology of the developed films. The CaCO3 particles were used to act as stress concentrators to initiate voids between the fillers and the PP matrix. As the films developed are destined for piezoelectric applications, the results focused on the morphological properties of the final structure developed. This was done using several properties such film thickness reduction after biaxial stretching, crystallinity, as well as cell morphology (cell aspect ratio, cell height and cell wall thickness) after biaxial stretching and cell inflation by using two gas diffusion expansion methods: long term and progressive. Nevertheless, the latter was found to be more efficient.
The characterization of film thickness reduction was used as a first and rapid way to identify the range of particle size and concentration needed to initiate delamination at the PP/CaCO3 interface. Higher interfacial delamination was obtained with the largest CaCO3 particles (SW12, average particle size of 12 urn). Crystallinity characterization before and after film biaxial stretching showed that film crystallinity, which is important for charge retention, increased after biaxial stretching (orientation- induced crystallinity). Cellular morphology characterization after gas diffusion expansion showed that, for SW12 concentration of at least 23.0 wt.%, it was possible to generate ellipsoidal cells with an average aspect ratio between 4 and 10, which is requested for piezoelectric cellular films. Also, for the same filler concentration range, cell height values were higher than the minimum value of around 5 urn required for Corona charging, which will be the object of the next step of this work.
Footnotes
5
The National Research Council of Canada (NRCC) is highly acknowledged for using the stretching machine. We are also grateful to ‘Fond Quέbέcois de Recherche, Nature et Technologies, FQRNT’ for financial support. Finally, Omya Canada donated all the CaCO3 samples used in this work.
