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<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Mater.</journal-id>
<journal-title>Frontiers in Materials</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Mater.</abbrev-journal-title>
<issn pub-type="epub">2296-8016</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="doi">10.3389/fmats.2018.00044</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Materials</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Elastic Behavior of Nanophases in Polyvinyl Alcohol (PVA)/Bamboo Charcoal (BC) Nanocomposite Films</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name><surname>Mousa</surname> <given-names>Mohanad</given-names></name>
<uri xlink:href="http://loop.frontiersin.org/people/562673/overview"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name><surname>Dong</surname> <given-names>Yu</given-names></name>
<xref ref-type="corresp" rid="c001"><sup>&#x0002A;</sup></xref>
<uri xlink:href="http://loop.frontiersin.org/people/130971/overview"/>
</contrib>
</contrib-group>
<aff><institution>School of Civil and Mechanical Engineering, Curtin University</institution>, <addr-line>Perth, WA</addr-line>, <country>Australia</country></aff>
<author-notes>
<fn fn-type="edited-by"><p>Edited by: Jinsong Leng, Harbin Institute of Technology, China</p></fn>
<fn fn-type="edited-by"><p>Reviewed by: Francesca Lionetto, University of Salento, Italy; Alessandro Pegoretti, University of Trento, Italy</p></fn>
<corresp id="c001">&#x0002A;Correspondence: Yu Dong <email>y.dong&#x00040;curtin.edu.au</email></corresp>
<fn fn-type="other" id="fn001"><p>This article was submitted to Polymeric and Composite Materials, a section of the journal Frontiers in Materials</p></fn></author-notes>
<pub-date pub-type="epub">
<day>03</day>
<month>08</month>
<year>2018</year>
</pub-date>
<pub-date pub-type="collection">
<year>2018</year>
</pub-date>
<volume>5</volume>
<elocation-id>44</elocation-id>
<history>
<date date-type="received">
<day>12</day>
<month>02</month>
<year>2018</year>
</date>
<date date-type="accepted">
<day>09</day>
<month>07</month>
<year>2018</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x000A9; 2018 Mousa and Dong.</copyright-statement>
<copyright-year>2018</copyright-year>
<copyright-holder>Mousa and Dong</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/"><p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p></license>
</permissions>
<abstract><p>Polyvinyl alcohol (PVA) nanocomposite films reinforced with bamboo charcoal (BC) nanoparticles were successfully fabricated via solution casting and their nanomechanical properties in terms of material phases were determined by a peak force quantitative nanomechanical tapping mode (PFQNM). Our experimental results revealed that the elastic modulus of PVA semicrystalline phase in stack-bundle form was 24 &#x000B1; 4.2 GPa with the semicrystalline phase width being 20&#x02013;76 nm, as opposed to 11.4 &#x000B1; 3.1 GPa and 18&#x02013;65 nm for corresponding PVA amorphous phase accordingly. The incorporation of BC nanoparticles enhanced the elastic moduli of both crystalline and amorphous phases of PVA by &#x0007E;51% and &#x0007E;100%, respectively. Moreover, the phase width was decreased to be in range of 5&#x02013;53 nm for crystalline phase and 4&#x02013;35 nm for amorphous phase.</p></abstract>
<kwd-group>
<kwd>nanocomposites</kwd>
<kwd>nanomechanical properties</kwd>
<kwd>polyvinyl alcohol (PVA)</kwd>
<kwd>bamboo charcoal (BC) nanoparticles</kwd>
<kwd>peak force quantitative nanomechanical tapping mode (PFQNM)</kwd>
</kwd-group>
<counts>
<fig-count count="3"/>
<table-count count="0"/>
<equation-count count="2"/>
<ref-count count="32"/>
<page-count count="7"/>
<word-count count="4463"/>
</counts>
</article-meta>
</front>
<body>
<sec sec-type="intro" id="s1">
<title>Introduction</title>
<p>Advances in material science have led to increasing annual production of synthetic polymers. To date 8.3 billion metric tons of synthetic polymers have been produced (Geyer et al., <xref ref-type="bibr" rid="B7">2017</xref>), and 6.3 billion metric tons became the waste, of which only about 9% has been recycled along with 12% incineration. The other 79% of plastic waste is stored in landfills or else directly released into the environment (Geyer et al., <xref ref-type="bibr" rid="B7">2017</xref>). With increasing the production of synthetic polymers, serious concerns have been raised in relation to heavy pollution to ground and surface water, as well as landfilling. More importantly, the disposal of synthetic polymers becomes more challenging considering that a majority of these polymers resist physical and chemical degradation (Jayasekara et al., <xref ref-type="bibr" rid="B12">2005</xref>; Mousa et al., <xref ref-type="bibr" rid="B19">2016</xref>). As such, PVA, as one of popular biopolymers has received great attention as the alternative to general synthetic polymers owing to its good flexibility, water solubility, recyclability and biotribological properties. PVA was widely used for industrial applications such as tissue engineering, pharmaceutical formation, drug delivery, cosmetics and biosensors (Yang et al., <xref ref-type="bibr" rid="B30">2008</xref>; Dorigato and Pegoretti, <xref ref-type="bibr" rid="B6">2012</xref>; Huang and Wang, <xref ref-type="bibr" rid="B11">2013</xref>; Cataldi et al., <xref ref-type="bibr" rid="B2">2018</xref>). Carbon based nanofillers such as carbon nanotubes (CNTs) are considered as more effective nanoreinforcements. However, high material cost and nanotoxicity may hinder their widespread use in nanocomposite systems since human cells can be damaged by inhaling CNT nanoparticles that are potentially accumulated in cytoplasm (Mousa et al., <xref ref-type="bibr" rid="B19">2016</xref>). On the other hand, evident particle agglomeration at high content levels becomes a typical obstacle to the use of graphene sheets. In particular, when the toxic and biocompatible levels of graphene oxides (GOs) were examined on A549 cells (Chang et al., <xref ref-type="bibr" rid="B3">2011</xref>), it was noted that oxidative stress arouse from the inclusion of GOs, which induced a slight decrease in cell viability at high GO contents. Among different biocompatible nanofillers, bamboo charcoal (BC) nanoparticles are regarded as newly used carbon-based nanofillers with great potential due to their extraordinary characteristics such as eco-friendliness, environmental sustainability and high adsorption performance (Liao et al., <xref ref-type="bibr" rid="B14">2012</xref>). Furthermore, high specific surface area and large pore volume of BCs render them to be successfully used for humidity regulators (Yeh et al., <xref ref-type="bibr" rid="B32">2009</xref>), removing adverse effect of harmful gasses, anti-bacterial (Li et al., <xref ref-type="bibr" rid="B13">2014</xref>) and anti-fungal features. BCs with rough walls and internal pores (Gray et al., <xref ref-type="bibr" rid="B8">2014</xref>) can actively interact with hydrophilic PVA molecules resulting in high-pressure positive capillary to drive those molecular chains into BC pores with both mechanical and chemical bondings according to the Laplace theory (Brockhoff et al., <xref ref-type="bibr" rid="B1">2010</xref>; Gray et al., <xref ref-type="bibr" rid="B8">2014</xref>).</p>
<p>In a nanocomposite system, conventional mechanical testing is often used to evaluate the elastic behavior of bulk materials at a macroscopic level. Nevertheless, the features of interfacial bonding between polymer matrices and nanofillers, as well as local nanoreinforcement effect and deformation directly determined by experimental measurements have not been holistically studied (Xiong et al., <xref ref-type="bibr" rid="B29">2016</xref>). As expected, the elastic behavior of polymer nanocomposites can be totally different at a nanoscaled level. Even with respect to neat polymers alone, the elastic modulus of crystalline phases for semicrystalline polymers has been found to be much higher than that of amorphous phases (Panaitescu et al., <xref ref-type="bibr" rid="B22">2015</xref>). It was suggested that in a peak-force quantitative tapping mode (PFQNM), the elastic modulus of polypropylene crystalline phase was increased by 69.23% as opposed to that of amorphous phase (Voss et al., <xref ref-type="bibr" rid="B27">2014</xref>). In a similar manner, elastic modulus of PVA crystalline phase was enhanced by 15% when compared with that of its amorphous phase (Pakzad et al., <xref ref-type="bibr" rid="B21">2012</xref>). On the other hand, the incorporation of nanofillers and resulting interphases in terms of highly distinct interphase dimensions and properties not only can change the property of polymer matrices, but also greatly influence the material performance of resulting nanocomposites. For instance, the analysis of epoxy/carbon fiber composites according to dynamic nanomechanical imaging technique demonstrated that the existence of interphase between carbon fibers and epoxy matrices (interphase thickness: 118 &#x000B1; 3 nm) tended to enhance the storage modulus of neat epoxy from 17.2 GPa to be in range of 26&#x02013;45 GPa in the interphase regions (Gu et al., <xref ref-type="bibr" rid="B9">2010</xref>).</p>
<p>In our previous work (Mousa and Dong, <xref ref-type="bibr" rid="B17">2018b</xref>), very strong PVA nanocomposite films with the incorporation of BC nanoparticles were prepared at different BC contents of 0, 3, 5, and 10 wt% with the average particle diameter of 69.43 nm. The maximum increase of tensile strength of such nanocomposites was achieved by 110% with the reinforcement of 3 wt% BC nanoparticles as opposed to that of neat PVA at 70.32 MPa. This significant improvement of tensile strength is believed to be associated with the inclusion of BC nanoparticles to affect morphological structures and nanomechanical behavior of PVA phases in PVA/BC nanocomposites. Consequently, nanomechanical properties in relation to crystalline and amorphous phases of PVA were investigated in this study with or without the incorporation of BC nanoparticles in order to understand the effect of nanofillers on mechanical performance of PVA nanophases in PVA/BC nanocomposites via PFQNM.</p>
</sec>
<sec sec-type="materials" id="s2">
<title>Materials</title>
<p>Bamboo charcoal (BC) nanoparticles was purchased from US Research Nanomaterials, Inc. Co., USA with specific surface area and average particle diameter being 624.81 m<sup>2</sup>/g and 69.43 nm, respectively (Mousa and Dong, <xref ref-type="bibr" rid="B17">2018b</xref>). PVA powders (commercial grade: MFCD00081922) were obtained from Sigma Aldrich Pty. Ltd, Australia at the saponification degree above 99%.</p>
</sec>
<sec id="s3">
<title>Fabrication of bionanocomposite films</title>
<p>Typical procedure for the fabrication of PVA /BC nanocomposite films was mentioned in details in our previous work (Mousa and Dong, <xref ref-type="bibr" rid="B17">2018b</xref>). Briefly, PVA solution was obtained by dissolving 10 g PVA pellets in 190 ml deionized water via vigorous magnetic stirring at 90&#x000B0;C for 3 h. In the meantime, BC suspension was prepared separately by blending particles in deionized water under mechanical mixing at 40&#x000B0;C for 2 h, and then followed by ultra-sonication for 1 h at 25 kHz and 40&#x000B0;C. Moreover, BC aqueous suspensions were gradually added in a dropwise manner into PVA solutions, which was simultaneously subjected to mechanical mixing at 40&#x000B0;C for 2 h. Then, such a mixture was stirred at 90&#x000B0;C for 1 h prior to the following sonication for 30 min to achieve uniform BC dispersion. The optimum BC content of 3 wt% was chosen according to our previously determined results (Mousa and Dong, <xref ref-type="bibr" rid="B17">2018b</xref>) in the manufacture of final PVA/BC nanocomposites. Homogeneous PVA/BC solution was cast into a glass petri dish subjected further drying in an air-circulating oven at 40&#x000B0;C until nanocomposite thin films (thickness: &#x0007E;0.8 mm) were peeled off.</p>
</sec>
<sec id="s4">
<title>Characterization methods</title>
<p>Nanomechanical properties of PVA/BC nanocomposites were measured by PFQNM in this study (Wu et al., <xref ref-type="bibr" rid="B28">2008</xref>; Pittenger, <xref ref-type="bibr" rid="B24">2009</xref>; Mousa and Dong, <xref ref-type="bibr" rid="B18">2018a</xref>). Force-distance measurments were collected at high modulation frequencies of 1&#x02013;2 kHz to acquire two-dimensional arrays containing a force-distance curve at each pixel (Pittenger, <xref ref-type="bibr" rid="B24">2009</xref>; Mousa and Dong, <xref ref-type="bibr" rid="B18">2018a</xref>). The cantilever follows the sinusoidal movement of cantilever base because this system is driven at a frequency far below cantilever&#x00027;s resonant frequency. During the scanning process, the feedback loop of tapping mode controls the peak on the tip so that material sample and AFM tip can be protected from any damages. Material property in term of adhesion, modulus, deformation and energy dissipation are acquired at each single tap by analyzing force-distance data, as illustrated in Figure <xref ref-type="fig" rid="F1">1</xref>. At the step (1), the tip is still far away from the sample with little or no force on the tip. As the tip approaches the sample surface, the cantilever is pulled down by attraction forces (e.g., van der Waals, capillary or electrostatic forces), which can be represented by the force below the horizontal axis in Figure <xref ref-type="fig" rid="F1">1A</xref>. At the step (2), attractive forces overcome cantilever stiffness and the tip is pulled to the surface until it touches the sample surface shown in Figure <xref ref-type="fig" rid="F1">1B</xref>. Then the tip is pushed into the sample until the force reaches the peak force at the step (3). Subsequently, the probe begins to pull up from sample surface and the peak force decreases to a minimum point at the step (4). The adhesion represents the force at this point. Finally, the tip comes off the surface until it reaches step (5), which is called the &#x0201C;pull-off&#x0201D; step.</p>
<fig id="F1" position="float">
<label>Figure 1</label>
<caption><p><bold>(A)</bold> schematic diagram of force vs. tip-sample separation obtained from AFM tapping on the sample surface where the separation is calculated from <italic>z</italic> peizo position and cantilever deflection (Blue and red curves denote loading and unloading portions, respectively and green dash line is obtained by DMT model fitting. The minimum force in the withdraw curve is used for mapping adhesion force. Steps from (1) to (5) represent tip-sample interactions throughout 0.5 ms (Pakzad et al., <xref ref-type="bibr" rid="B21">2012</xref>), Reprinted with copyright permission from Elsevier, <bold>(B)</bold> schematic diagram representing a probe tapping process for nanocomposite samples,<bold>(C)</bold> typical PVA/BC nanocomposite film, and <bold>(D)</bold> probe-tip location on the film surface of PVA/BC nanocomposites.</p></caption>
<graphic xlink:href="fmats-05-00044-g0001.tif"/>
</fig>
<p>The elastic modulus can be determined by fitting the green dash line in Figure <xref ref-type="fig" rid="F1">1A</xref> to Derjaguin-Muller-Toropov (DMT) model using the following equation (Derjaguin et al., <xref ref-type="bibr" rid="B5">1975</xref>)</p>
<disp-formula id="E1"><label>(1)</label><mml:math id="M1"><mml:mrow><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>L</mml:mi><mml:mi>c</mml:mi></mml:mrow></mml:msub><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>F</mml:mi><mml:mrow><mml:mi>a</mml:mi><mml:mi>d</mml:mi><mml:mi>h</mml:mi></mml:mrow></mml:msub><mml:mo>=</mml:mo><mml:mfrac><mml:mn>4</mml:mn><mml:mn>3</mml:mn></mml:mfrac><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mi>E</mml:mi><mml:mo>&#x02217;</mml:mo></mml:msup><mml:msqrt><mml:mrow><mml:mi>R</mml:mi><mml:mtext>&#x000A0;</mml:mtext><mml:msup><mml:mrow><mml:mo stretchy='false'>(</mml:mo><mml:mi>z</mml:mi><mml:mo>&#x02212;</mml:mo><mml:msub><mml:mi>z</mml:mi><mml:mi>o</mml:mi></mml:msub><mml:mo stretchy='false'>)</mml:mo></mml:mrow><mml:mn>3</mml:mn></mml:msup></mml:mrow></mml:msqrt></mml:mrow></mml:math></disp-formula>
<p>Where <italic>F</italic><sub><italic>Lc</italic></sub>&#x02212;<italic>F</italic><sub><italic>adh</italic></sub> is the net force between the cantilever force (<italic>F</italic><sub><italic>Lc</italic></sub>) and the adhesion force (<italic>F</italic><sub><italic>adh</italic></sub>), <italic>E</italic><sup>&#x0002A;</sup>is the reduced Young&#x00027;s modulus, <italic>R</italic> is the tip-end radius, and <italic>z</italic>&#x02212;<italic>z</italic><sub><italic>o</italic></sub> is the deformation on the sample as defined by the difference between current piezo position <italic>z</italic> and orginal position <italic>z</italic><sub>0</sub>.The reduced modulus <italic>E</italic><sup>&#x0002A;</sup> can be used to determine sample modulus (<italic>E</italic><sub><italic>s</italic></sub>) when the elastic modulus of AFM tip (<italic>E</italic><sub><italic>tip</italic></sub>) and poisson&#x00027;s ratios of the sample and AFM tip (i.e., <italic>v</italic><sub>s</sub> and <italic>v</italic><sub>tip</sub>) are given, respectively according to the rearranged equation as follows (Pittenger, <xref ref-type="bibr" rid="B24">2009</xref>; Mousa and Dong, <xref ref-type="bibr" rid="B18">2018a</xref>):</p>
<disp-formula id="E2"><label>(2)</label><mml:math id="M2"><mml:mtable class="eqnarray" columnalign="right center left"><mml:mtr><mml:mtd><mml:msup><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mo>*</mml:mo></mml:mrow></mml:msup><mml:mo>=</mml:mo><mml:msup><mml:mrow><mml:mrow><mml:mo>[</mml:mo><mml:mrow><mml:mfrac><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:msubsup><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:mi>E</mml:mi><mml:msub><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mi>s</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:mfrac><mml:mo>&#x0002B;</mml:mo><mml:mfrac><mml:mrow><mml:mn>1</mml:mn><mml:mo>-</mml:mo><mml:msubsup><mml:mrow><mml:mi>v</mml:mi></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>p</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msubsup></mml:mrow><mml:mrow><mml:mi>E</mml:mi><mml:msub><mml:mrow><mml:mtext>&#x000A0;</mml:mtext></mml:mrow><mml:mrow><mml:mi>t</mml:mi><mml:mi>i</mml:mi><mml:mi>p</mml:mi></mml:mrow></mml:msub><mml:mtext>&#x000A0;</mml:mtext></mml:mrow></mml:mfrac></mml:mrow><mml:mo>]</mml:mo></mml:mrow></mml:mrow><mml:mrow><mml:mo>-</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:msup></mml:mtd></mml:mtr></mml:mtable></mml:math></disp-formula>
<p>The second mechanical property acquired in AFM topographic mapping is adhesion force, which can be identified by the minimum force in Figure <xref ref-type="fig" rid="F1">1A</xref>.The source of adhesion force can be any attraction between AFM tip and material sample. The yellow region in Figure <xref ref-type="fig" rid="F1">1A</xref> corresponds to the dissipation energy into the sample during a tapping cycle. Elastic modulus, dissipation energy and adhesion are generally measured at a specific modulation frequency, which thus cannot represent complete rheological tests. Material deformation or tip indentation depth into crystalline and amorphous phases of surface samples can be quantified from the difference in the separation between tip sample at the point where the peak force is zero.</p>
<p>In this work, nanomechanical properties and topographical characteristics for PVA nanocomposite films (see Figure <xref ref-type="fig" rid="F1">1C</xref>) were obtained by using a Bruker Dimension FastScan AFM system in PFQNM. Moreover, AFM tests were carried out on nanocomposite films at room temperature of &#x0007E;25&#x000B0;C with relative humidity about 30%. Nanomechanical mapping presented in this research was acquired using a Bruker RTESPA 525A probe specified with the nominal spring constant of 200 N/m, nominal tip radius of 8 nm and nominal resonant frequency of 525 kHz. Moreover, prior to each test, the deflection sensitivity was calibrated using the stiff sapphire-12 surface and corresponding spring constant was detected by using a thermal tuning method (Pittenger, <xref ref-type="bibr" rid="B24">2009</xref>). AFM imaging analysis was performed by using the RTESPA Bruker probes with the normal spring constant of 40 N/m and tip radius of 8 nm. The resonant frequency was about 2 Hz with 256 &#x000D7; 256 digital pixel resolution. Three nanocomposite film samples in size of 1.5 &#x000D7; 1.5 cm were cut for further AFM work. For each sample, five different zones based on probe-tip locations in Figure <xref ref-type="fig" rid="F1">1D</xref> were investigated for AFM mapping images accordingly.</p>
</sec>
<sec id="s5">
<title>Results and discussion</title>
<p>Nanomechanical properties of PVA films were presented in Figure <xref ref-type="fig" rid="F2">2</xref>. As seen in Figure <xref ref-type="fig" rid="F2">2A</xref>, there are two typical distinct phases known as crystalline phase (in bright white color) and amorphous phase (in dark color), which are generally detected in semicrystalline polymers like PVA (Voss et al., <xref ref-type="bibr" rid="B27">2014</xref>; Panaitescu et al., <xref ref-type="bibr" rid="B22">2015</xref>). DMT modulus mapping image of PVA, as illustrated in Figure <xref ref-type="fig" rid="F2">2B</xref>, was analyzed in a typical section A<sub>1</sub>-B<sub>1</sub> with associated results depicted in Figure <xref ref-type="fig" rid="F2">2C</xref>. The regions with a high modulus level of 24 &#x000B1; 4.2 GPa and phase width of 20&#x02013;76 nm were related to the bundles of semicrystalline stacks in crystalline phase. This value appeared to be far higher than the elastic modulus of 9.9 GPa for local PVA/poly (acrylic acid) (PAA) nanophases, as previously reported by Pakzad et al. (<xref ref-type="bibr" rid="B21">2012</xref>). Nonetheless, it was as close as to the corresponding modulus of 23.69 GPa obtained from PVA/chitosan composite film coating (Mishra and Kannan, <xref ref-type="bibr" rid="B16">2014</xref>). In comparison, the regions assigned to amorphous phase had a relatively low modulus of 11.4 &#x000B1; 3.1 GPa along with the amorphus phase width of 18&#x02013;65 nm. The variation of crystalline phase width is attributed to different orientation of semicrystalline stack bundles for the designated section (Panaitescu et al., <xref ref-type="bibr" rid="B23">2013</xref>). Elastic modulus of bulk PVA films was about 2.08 GPa at a macroscopic level (Mousa and Dong, <xref ref-type="bibr" rid="B17">2018b</xref>), which is less than that of local PVA nanoscaled regions based on AFM. Such a phenomenon is mainfested when nanomechanical properties are compared with those of bulk composites (Gu et al., <xref ref-type="bibr" rid="B9">2010</xref>; Niu et al., <xref ref-type="bibr" rid="B20">2016</xref>). In epoxy/carbon fiber composites, nanomechanical results showed that the modulus of epoxy was 17 GPa as opposed to 3&#x02013;4 GPa for bulk composites (Gu et al., <xref ref-type="bibr" rid="B9">2010</xref>). In a similar manner, local PVA nanoscaled region yielded a elastic modulus of 11.9 GPa in contrast with 2.08 GPa for bulk PVA films (Mousa and Dong, <xref ref-type="bibr" rid="B17">2018b</xref>). Such differences can be associated with several reasons for consideration. First of all, the shape function of the topmost probe tip may not be accurate enough at the low indentation depth (Clifford and Seah, <xref ref-type="bibr" rid="B4">2005</xref>; Yedla et al., <xref ref-type="bibr" rid="B31">2008</xref>) notwithstanding the calibration of AFM parameters before each measurement. Low indentation depth comes from low indentation force used to induce residual stress and plastic deformation from next indents, thus leading to the maximization of lateral resolution capabilities, particularly at a nanoscaled level. Secondly, in many cases, nanoproperties of local material surfaces vary greatly from bulk properties. The penetration depth plays an important role in the measurement of elastic modulus at a nanoscaled level, which is attributed to the discrepancy in morphological structures between outer skins on local material surfaces and bulk materials (Clifford and Seah, <xref ref-type="bibr" rid="B4">2005</xref>). Finally, it is worth mentioning that distinct measurement mechanisms mainly arise from PFQNM for local DMT modulus and conventional tensile testing for tensile modulus in material bulk properties (Syed Asif et al., <xref ref-type="bibr" rid="B26">2001</xref>).</p>
<fig id="F2" position="float">
<label>Figure 2</label>
<caption><p>2D AFM mapping images of PVA films for <bold>(A)</bold> height and <bold>(B)</bold> DMT modulus, <bold>(C)</bold> DMT modulus-scan distance curve for corresponding typical section A<sub>1</sub>-B<sub>1</sub> in <bold>(B)</bold> and <bold>(D)</bold> 2D adhesion mapping image of PVA films.</p></caption>
<graphic xlink:href="fmats-05-00044-g0002.tif"/>
</fig>
<p>The difference in PVA phases could also be characterized by the adhesion force mapping image exhibited in Figure <xref ref-type="fig" rid="F2">2D</xref>, in which adhesion forces for cyrstalline and amorphous phases were measured to be 19.7 &#x000B1; 0.6 and 33 &#x000B1; 2.8 nN, respectively. The higher adhesion force of amorphous phases may result from prevalent viscoelastic material behavior generally taking place in amorphous polymers in a non-glassy state. This finding indicates that amorphus phases have relatively low density and surface tension as compared to crystalline phases (Voss et al., <xref ref-type="bibr" rid="B27">2014</xref>).</p>
<p>The DMT modulus profile of PVA/BC bionanocomposites in Figure <xref ref-type="fig" rid="F3">3B</xref> was assessed on a typical section A<sub>2</sub>-B<sub>2</sub>, as depicted in Figure <xref ref-type="fig" rid="F3">3A</xref>. The circled peaks with relatively high modulus values can be associated with the presence of BCs within PVA matrices. In addition, the cyclic pattern of low and high modulus domains, depicted in Figure <xref ref-type="fig" rid="F3">3B</xref>, can be correlated with the alternating sequence of amorphous and crystalline phases of PVA accordingly, which becomes a very common trend in semi-crystalline polymers (Panaitescu et al., <xref ref-type="bibr" rid="B23">2013</xref>; Voss et al., <xref ref-type="bibr" rid="B27">2014</xref>) Furthermore, the modulus trend of PVA nanocomposites with the addition of 3 wt% BCs, as shown in Figure <xref ref-type="fig" rid="F3">3B</xref>, is totally different from that of neat PVA along with the change in the degree of structural orderness, Figure <xref ref-type="fig" rid="F2">2C</xref>. Such a difference can be attributed to the reinforcing effect of BCs on both crystalline and amorphous phases of PVA matrices (Manna et al., <xref ref-type="bibr" rid="B15">2016</xref>). The morphological structures of nanocomposites in term of height and adhesion force mapping were further investigated at high magnifications in Figures <xref ref-type="fig" rid="F3">3C,D</xref> with the data analysis of DMT modulus profile on a typical section A<sub>3</sub>-B<sub>3</sub> presented in Figure <xref ref-type="fig" rid="F3">3E</xref>. It could be noticed that both crystalline and amorphous phase widths were in range of 5&#x02013;53 and 4&#x02013;35 nm, respectively, appearing to be lower than that of corresponding PVA, Figure <xref ref-type="fig" rid="F2">2C</xref>. Decreasing the phase width means the reduction of stack sizes accordingly from neat polymer to nanocomposite films. In other words, the number of lamellae stacks per unit volume, on the other hand, increases from PVA to PVA/BC nanocomposites, as suggested in Figure <xref ref-type="fig" rid="F3">3F</xref>, thus resulting in the improvement of tensile strengths of nanocomposites. This phenomenon could be interpreted by the Hall&#x02013;Petch relation (Hall, <xref ref-type="bibr" rid="B10">1951</xref>; Song et al., <xref ref-type="bibr" rid="B25">2015</xref>), in which yield stress and tensile stress are dependent on the grain size. As a consequence, according to our previous work (Mousa and Dong, <xref ref-type="bibr" rid="B17">2018b</xref>), much higher tensile strength of PVA/BC nanocomposites at 147.94 MPa could be achieved as opposed to that of PVA at 70.32 MPa with the inclusion of 3 wt% BCs. This nanomeasurement offers the insight to establish a more accurate theoretical modeling framework by combining both nanomechanical properties and bulk properties at the macrosopic level of nanocomposites.</p>
<fig id="F3" position="float">
<label>Figure 3</label>
<caption><p><bold>(A)</bold> 3D AFM height mapping image of PVA/BC nanocomposites and <bold>(B)</bold> DMT modulus-scan distance curve for corresponding typical section A<sub>2</sub>-B<sub>2</sub> in <bold>(A)</bold>, 3D AFM mapping images of PVA/BC nanocomposites for <bold>(C)</bold> height and <bold>(D)</bold> adhesion force at high magnifications, <bold>(E)</bold> DMT modulus-scan distance curve for corresponding typical section A<sub>3</sub>-B<sub>3</sub> in <bold>(C)</bold> and <bold>(F)</bold> schematic diagram for bundles of lamellar stacks in both PVA and PVA /BC nanocomposite films.</p></caption>
<graphic xlink:href="fmats-05-00044-g0003.tif"/>
</fig>
</sec>
<sec sec-type="conclusions" id="s6">
<title>Conclusions</title>
<p>In this study, nanomechanical properties of PVA phases with and without BC nanoparticles were determined via PFQNM. The AFM measurements of PVA films indicated that elastic moduli of PVA crystalline and amorphous phases in morphological structures vary from 24 &#x000B1; 4.2 to 11.4 &#x000B1; 3.1 GPa, respectively. Moreover, its crystalline and amorphous phase widths were detected to be 20&#x02013;76 and 18&#x02013;65 nm, respectively, as opposed to 5&#x02013;53 and 4&#x02013;35 nm for corresponding counterparts in PVA/BC nanocomposites. With the incorporation of BCs, the lamellae size increased with increasing the number of lamellae stacks per unit volume, which was believed to be a major reason for the significant improvement of tensile strength of PVA/BC nanocomposites. The nanomechanical characterization implemented in this study offers good opportunity to understand the effect of BC nanoparticles on nanomechanical properties of PVA phases as the appropriate guidance to further investigate the nexus between nanomechanical properties and bulk mechanical properties of polymer nanocomposites.</p>
</sec>
<sec id="s7">
<title>Author contributions</title>
<p>MM did the experimental work and characterization of material samples, MM and YD analyzed the data and jointly prepared the research manuscript.</p>
<sec>
<title>Conflict of interest statement</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
</sec>
</body>
<back>
<ack><p>The first author MM acknowledges the Higher Committee for Education Development (HCED) in Iraq to award the research scholarship for his PhD studies at Curtin University. The authors would also like to thank Dr. Thomas Becker from Nanochemistry Research Institute, Curtin University for the technical assistance in PFQNM measurements.</p>
</ack>
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