<!DOCTYPE article PUBLIC "-//NLM//DTD JATS (Z39.96) Journal Archiving and Interchange DTD v1.0 20120330//EN" "JATS-archivearticle1.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink">
  <front>
    <journal-meta />
    <article-meta>
      <title-group>
        <article-title>Mathematical Modeling of Bioactivation Process for Wood Raw Materials</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="author">
          <string-name>Victor G. Buryndin</string-name>
          <email>vgb@usfeu.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Artem V. Artemov</string-name>
          <email>tom-art@ya.ru</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <contrib contrib-type="author">
          <string-name>Andrey V. Savinovskih</string-name>
          <email>savinovskihand@gmail.com</email>
          <xref ref-type="aff" rid="aff0">0</xref>
        </contrib>
        <aff id="aff0">
          <label>0</label>
          <institution>Ural State Forestry Engineering University</institution>
          ,
          <addr-line>620100, Russia, Ekaterinburg</addr-line>
        </aff>
      </contrib-group>
      <abstract>
        <p>By the method of mathematical planning of the experiment, the influence of bioactivating the raw material of wood particles with a silt mixture of activated sludge, as well as humidity, lignin content in the press composition and the pressing temperature was investigated. Linear regression equations are obtained which allow predicting the effect of the above factors on the properties of wood plastics without using resin. Optimal values of bioactivation, conditions and factors for obtaining wood plastics without resins with high performance properties by hot pressing were determined.</p>
      </abstract>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>Introduction</title>
      <p>In the woodworking industry, a large amount of waste is generated during the processing of wood (represented as
sawdust, shavings, grinding dust, etc.) and reach 35% [1]. There are several uses of wood waste:
- production of wood composite materials with the use of thermosetting organic and mineral binders [2]:
particleboard, wood fiber boards (fiberboard); Composite wood-polymer materials (press powders, wood preservative
masses, wood-mineral composite materials (arbolite, fibrolite, cement-chipboards, gypsum-fibrous boards,
gypsumchipboards).</p>
      <p>- production of wood-polymer composites, in which thermoplastic polymers (polyethylene, polypropylene,
polystyrene, polyethylene terephthalate, polymethylmethacrylate, etc.) are used as a matrix, and woodworking waste is used as
a filler [3].</p>
      <p>A method for obtaining wood plastics without using synthetic resins (WP-WR) has been developed. There are
several technologies known:</p>
      <p>- a one-stage method for obtaining piezotermoplastics , developed at the Belarusian Technological Institute under the
guidance of A.N. Minin [4];</p>
      <p>- a two-stage method for producing plastics from hydrolyzed sawdust, developed at the Leningrad Forestry Academy
under the direction of N.Ya. Solechnik [5];
- A method for obtaining ligno-carbohydrate plastics, developed in the ULTI under the leadership of VN. Petri [6];
- technology of the steam explosion, developed at the Institute of Wood Chemistry of the Latvian Academy of
Sciences under the leadership of Ya.A. Gravitis [7].</p>
      <p>The production of these materials is due to the presence of lignin in the wood filler. Activation of lignin in the
preparation of WP-WR is possible in the presence of modifiers, both low-molecular (ammonia, carbamide, acids, etc.) and
high-molecular (lignin, lignosulfonate, etc.) chemical substances [4 - 5].</p>
      <p>The use of chemical reagents leads either to the delignification process [8], or to the destruction of lignin to the
formation of organic substances [9], which does not allow to fully predict the properties of the resulting materials.</p>
      <p>We proposed a one-stage method for obtaining WP-WR in closed molds. At the same time, the hypothesis of partial
chemical activation of lignin is used.</p>
      <p>To eliminate the low values of the visco-plastic properties of the press raw material, it can be solved with the help of
preliminary biological transformation and partial destruction of crushed wood, i.e. its bioactivation [10]. For this, the
use of:
a) active sludge in the form of a silt mixture, which is an available source of microorganisms destructive to wood;
b) preactivated lignin (by cavitation method).</p>
      <p>At the same time, economic and ecological problems are solved: waste utilization (excess activated sludge,
hydrolytic lignin, wood waste) and cheaper production of products from WP-WR with satisfactory physical and mechanical
properties.</p>
      <p>Earlier we established [11-13] that the following factors influence the process of formation of WP-WR with high
physical and mechanical properties: pressure, temperature of hot pressing, humidity, granulometric composition and
recipes of press raw materials.</p>
    </sec>
    <sec id="sec-2">
      <title>Experimental part</title>
      <p>In order to obtain mathematical models that establish the relationship between physical and mechanical properties of
WP-WR on the basis of bioactivated press raw materials obtained by the hot method in closed compression molds.
From the studied factors, an experiment planning matrix was compiled based on the regression five-factor mathematical
planning of a fractional factorial experiment of the 25-1 type [14].</p>
      <p>Preliminary studies [11-13] allowed to determine the influence of the following factors: Z1 - content of lignin,%, Z2
pressing temperature, ° C, Z3 - sludge consumption,%, Z4 - duration of soaking (activation) with silt mixture , day; Z5
humidity of the initial press raw materials,%.</p>
      <p>The output parameters are: bending strength (P, MPa), hardness (T, MPa), modulus of elasticity under compression
(Ec, MPa), water absorption (B), thickness swelling (L,%), toughness (A, kJ / m2).</p>
      <p>According to the planning matrix (see Table 1), by the method of flat hot pressing in a closed mold, samples of disks
in three parallels with a diameter of 90 mm and a thickness of 2 mm were obtained.</p>
      <p>Physicomechanical parameters were determined for the samples obtained.
№
1
2
3
4
5</p>
    </sec>
    <sec id="sec-3">
      <title>The results of the experiments and their analysis</title>
      <p>All the experimental data were processed using the MicrosoftExcel application package [15]. The regression
equations for significant optimization parameters, with an estimate of their reliability, are presented in Table. 2.</p>
      <p>As can be seen from Table. 2 high reliability values for the optimization parameters (T, Ec, B, P, L, A) provide the
basis for the application of a system of linear equations for describing the studied processes of the influence of variable
factors on optimization parameters [14].</p>
      <p>Based on the adequate regression equations, graphical dependency surfaces were constructed (other factors were
fixed at the middle level), shown in Fig. 12.</p>
      <p>№
1
2
3
4
5
6</p>
      <sec id="sec-3-1">
        <title>Optimization</title>
        <p>parameter</p>
      </sec>
      <sec id="sec-3-2">
        <title>Y (P) - bending strength, MPa</title>
      </sec>
      <sec id="sec-3-3">
        <title>Y (T) - hardness, MPa</title>
      </sec>
      <sec id="sec-3-4">
        <title>Y (Ec) - modulus of elasticity under compression, MPa</title>
      </sec>
      <sec id="sec-3-5">
        <title>Y (B) - water absorption,%</title>
      </sec>
      <sec id="sec-3-6">
        <title>Y (L) - swelling in thickness,%</title>
      </sec>
      <sec id="sec-3-7">
        <title>Y (A) - impact</title>
        <p>strength, kJ / m2</p>
        <p>Equations of regressions with an estimate of their reliability</p>
        <p>It is established that the strength at bending of the biactivated WP-WR significantly decreases with decreasing
moisture of the press raw materials (see Fig. 1). This indicates the participation of water in the reactions of thermo hydrolytic
degradation of the lignin-carbohydrate complex.</p>
        <p>Increasing the duration of activating the press raw material with activated sludge (silt mixture) increases the bending
strength of the WP-WR, since microorganisms (Actinomyces, Atcaligenes, Bacillus, Cellulomonas,
Desulfotomaculum, Flavobacterium, Mycobacterium, Nocardia, Pseudomonas, Sarcina, etc.) containing in the silt mixture
contribute to the partial destruction of lignin to the formation of functional groups. Pressing temperature WP-WR
slightly affects the strength index of plastic.</p>
        <p>At the same time, water absorption increases with increasing raw material moisture and pressing temperature (see
Figure 2), and high values of the hardness of the samples are achieved at the maximum temperature and minimum
moisture content of the initial press raw material.
c) d)</p>
        <p>Figure 1: Dependence of the flexural strength of WP-WR from:
a) the influence of the pressing temperature and the content of cavitation lignin on the density; b) the influence of the
flow of the silt mixture and the pressing temperature on the density; c) the influence of the moisture content of the press
composition and the duration of bioactivation on the flexural strength; d) the effect of the duration of bioactivation and
lignin content on the bending strength of WP-WR
c) d)</p>
        <p>Figure 2: Dependence of the water absorption of WP-WR on the effect:
a) the pressing temperature and the content of cavitation lignin; b) the flow rate of the sludge mixture and the
temperature of pressing; c) humidity of the press composition and duration of bioactivation; d) humidity of the press
composition and duration of bioactivation
№
1
2
3
4
5</p>
      </sec>
      <sec id="sec-3-8">
        <title>Z 1 – Lignin content,%</title>
        <p>Z 2 – Pressing temperature, °C
Z 3 – Sludge consumption, %
Z 4 – Activation duration, сут</p>
        <p>Z 5 – Moisture of press raw materials, %</p>
        <p>The analysis of regression dependencies shows that the activation time of the press raw material with activated
sludge (silt mixture) increases the compressive modulus, while the moisture content of the press raw material exerts
more influence on this index than the pressing temperature.</p>
        <p>Thus, it is established that the effect of the factors under study is differently directed to the physical and mechanical
properties of WP-WR, and this requires an optimization approach. Therefore, using the method of linear programming,
rational values of factors were determined.</p>
        <p>The bending strength (y (P)) was used as the target function, while restrictions on other physical and mechanical
properties of DP-BS (T, Ec, B, L, A) were established. The search for rational values was carried out in the range of the
studied factors. Then the mathematical notation of finding rational values of factors has the form:
Target function: y(P)=-1,16 + 0,09*Z + 0,19*Z + 0,55*Z + 0,15*Z +0,73*Z → max
Restrictions: y(Т) ≥ 60 МПа ; y(Е) ≥ 1600 МПа ;2 y(B) ≤ 403 % ; y(L)4≤ 30 % ; y5(А) ≤ 0,35 кДж/м2;
4 ≤ Z1 ≤ 20 ; 170 ≤ Z2 ≤ 190 ; 10 ≤ Z3 ≤ 20 ; 30 ≤ Z4 ≤ 50 ; 8 ≤ Z5 ≤ 16.</p>
        <p>Using the Microsoft Excel solution, the Solution Search application, a rational mode of obtaining WP-WR using
bioactive activated wood raw material with active sludge (Table 3).
With the found rational values of the factors, samples of WP-WR were made and their physico-mechanical
properties were determined (see Table 4).</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>Conclusion</title>
      <p>Thus, bioactivation of wood raw materials with activated sludge leads to the appearance of functional groups in the
structure of lignin, which then participate in the formation of WP-WR.</p>
      <p>The obtained mathematical models establish the relationship between the physical and mechanical properties of the
WP-WR and the factors studied (lignin content, sludge consumption, activation time, moisture of the press raw
materials, pressing temperature), which is confirmed by the results of Table 4, that is, there is a good correlation between the
calculated values with experimental values of plastic properties.</p>
    </sec>
    <sec id="sec-5">
      <title>Bibliographic list</title>
      <p>[1]. State report "On the state and on the protection of the environment of the Russian Federation in 2016". - M.:
Ministry of Natural Resources of Russia; NIA-Nature. - 2017. - 760 pp.</p>
      <p>[2]. Shcherbakov A.S. Technology of composite wood materials [text]: Textbook for high schools / A.S.Scherbakov,
I.А.Gamova, A.V. Melnikova. - M.: Ecology, 1992. - 192 with. - ISBN 5-7120-0333-3.</p>
      <p>[3]. Klesov A. A. Wood-polymer composites. SPb.: Scientific foundations and technologies, 2010. - 736 p.
[4]. Minin A.N. Technology piezotermoplastikov / AN Minin. - Moscow: Forest Industry, 1965. - 296 p.
[5]. Plate materials and products made of wood and other dehydrated residues without adding binders / VN Petri [and
others]. - Moscow: Forest Industry, 1976. - 360 p.</p>
      <p>[6]. Solechik N.Ya., Natkina L.N., Koromyslova TS, Likhacheva L.I. On the receipt of wood plastic without a binder
/ / Woodworking industry. 1963. № 3. P. 15-17</p>
      <p>[7]. Gravitis Ya.A. Theoretical and Applied Aspects of Explosive Autohydrolysis of Plant Biomass: (Review) //
Timber Chemistry. 1987. № 5. P. 3-21.</p>
      <p>[8]. Popova, N.R. Catalytic oxidation of lignin substances using polyoxometallates as catalysts (review article) / N.R.
Popova, K.G. Bogolitsyn, Т.V. Povarnitsyna // Chemistry of plant raw materials. - 2008. - No. 4.- P. 5-14 - ISSN
10295143</p>
      <p>[9]. Kononov, G.N. Chemistry of wood and its main components: A teaching aid for students of specialties 2602.00,
2603.00 / G.N. Kononov. - Moscow: MGUL, 1999. - 247 p.</p>
      <p>[10]. Bolobova A.V. New technology for obtaining environmentally friendly building materials on the basis of
enzymatic biodegradation of wood waste // Applied Biochemistry and Microbiology. 1999. Vol. 35. S. 590-595.</p>
      <p>[11]. Bioactivation of wood raw material with activated sludge to produce wood plastic without using resins / D.O
Gradinaru, A.V Savinovskikh, A.V Artemov, V.G Buryndin, V. E. Artyomov // The forests of Russia and the economy
in them. - 2013. - No. 44-1. - P. 126-129.</p>
      <p>[12]. Investigation of the physico-mechanical properties of wood-composite materials without using resins obtained
on the basis of activated press raw materials / AV Savinovskikh, ZF Khusnutdinova, AV Artemov, OV Stoyanov, VG
Buryndin // Bulletin of the Kazan Technological University. - 2014. - T. 17, No. 17. - P. 130-133
[13]. Savinovskikh, A.V The influence of modifiers on the physical and mechanical properties of wood plastics
without using resins [Text] / A.V Savinovskikh, A.V Artemov, V.G Buryndin // Bulletin of the Moskovsky State
University Forest University - Lesnoy Vestnik. - 2016. - Vol. 20, No. 3. - P. 55-59</p>
      <p>[14]. Akhnazarova, S.L. Methods for optimizing the experiment in chemical technology / S.L. Akhnazarova, V.V.
Kafarov. – M.: Higher education. Sc., 1985 - 327 p.</p>
      <p>[15]. Kuritsky B.Ya. Search for optimal solutions using Excel 7.0 / B.Ya.Kuritsky. S-Pb.: VNV - St. Petersburg,
1997.-384p.</p>
    </sec>
  </body>
  <back>
    <ref-list />
  </back>
</article>