Quantitative Characteristics of Local Strain Fields in a Top-Liner Board Sample under Uniaxial Tension

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UDС

676.017.043

DOI:

10.37482/0536-1036-2020-1-180-189

Abstract

The paper presents the method for quantifying the distribution of local tensile (longitudinal), compressive (transverse) and shear strains in a sample of pulp and paper material. The results of its use for the sample of top-liner board when uniaxial tensile testing are provided. Applying this method, we have determined the values, the degree of heterogeneity and change patterns of local strains in inhomogeneous and anisotropic structure of the sample, depending on the total strain and the direction of fiber orientation. The method is based on constant-speed tensile testing of samples with a pre-applied dot matrix to their surface. The test is accompanied with photo fixing and recording a load-elongation curve. The coordinates and displacements of dots are determined by means of the specially designed software. The analysis of data and calculation of local deformations are performed by finite elements method (FEM) algorithms. The outcomes have shown that the local longitudinal deformations increased, transverse – decreased, and shear – had their maximum at 45° to machine direction (MD) when increasing the angle of preferential fiber orientation to MD in the board samples. The rise of the average absolute values of all components of local strains when increasing total deformation in the sample was confirmed. As it has been found, the heterogeneity of local strains, estimated through the standard deviation, rose when increasing their absolute value; the trends of changing depend on the fiber orientation direction in the sample structure.

Authors

A.N. Romanova¹, Postgraduate Student 
Ya.V. Kazakov¹, Doctor of Engineering, Prof.; Researcher ID: J-4634-2012, ORCID: 0000-0001-8505-5841
A.V. Malkov^1,2, Candidate of Chemistry, Prof.

Affiliation

¹Northern (Arctic) Federal University named after M.V. Lomonosov, Naberezhnaya Severnoy Dviny, 17, Arkhangelsk, 163002, Russian Federation; e-mail: a.romanova@narfu.ru, j.kazakov@narfu.ru, a.malkov@narfu.ru
²N. Laverov Federal Center for Integrated Arctic Research, RAS, Naberezhnaya Severnoy Dviny, 23, Arkhangelsk, 163002, Russian Federation; e-mail: a.malkov@narfu.ru

Keywords

top-liner board, structural inhomogeneity, anisotropy, deformations, FEM

For citation

Romanova A.N., Kazakov Ya.V., Malkov A.V. Quantitative Characteristics of Local Strain Fields in a Top-Liner Board Sample under Uniaxial Tension. Lesnoy Zhurnal [Russian Forestry Journal], 2020, no. 1, pp. 180–189. DOI: 10.37482/0536-1036-2020-1-180-189

References

1. Beloglazov V.I., Gur’yev A.V., Komarov V.I. Anisotropy of Deformability and Strength of Containerboard and the Methods of its Evaluation. Ed. by V.I Komarov. Arkhangelsk, ASTU Publ., 2005. 252 p.
2. Kazakov Y.V. Quantitative Estimation of Deformation Heterogeneity in a Paper at Uniaxial Stretching at Constant Rate of Speed. Lesnoy Zhurnal [Russian Forestry Journal], 2013, no. 2, pp. 180–185. URL: http://lesnoizhurnal.ru/upload/iblock/5a4/hpd3.pdf 
3. Kazakov Ya.V., Zelenova S.V., Komarov V.I. Influence of Structural Nonuniformity on Stiffness Characteristics of Linerboard. Lesnoy Zhurnal [Russian Forestry Journal], 2007, no. 3, pp. 110–121. URL: http://lesnoizhurnal.ru/upload/iblock/f07/f07f469ab9b4d4a475d209e0bf17306f.pdf
4. Komarov V.I. Deformation and Destruction of Pulp and Paper Materials. Arkhangelsk, ASTU Publ., 2002. 440 p.
5. Romanova A.N., Kazakov Y.V., Malkov A.V. The Influence of the Fiber Orientation Direction in a Cardboard Sample on the Ratio of Tensile, Compressive and Shear Deformations in the Tensile Test. Proceedings of the 4th International Scientific Conference “The Issues in Mechanics of Pulp-and-Paper Materials”, (Arkhangelsk, September 14–16, 2017). Arkhangelsk, NArFU Publ., 2017, pp. 108–113. 
6. Kazakov Ya.V., Komarov V.I. The Software of the Laboratory Test Complex for the Deformability and Strength Assessment of Pulp and Paper Materials (KOMPLEX). Certificate of the Computer Software Official Registration No. 2001610526. 2001. 1 p.
7. Kazakov Ya.V., Kazakova O.Ya., Rudalev A.V. The Software for the Analysis of Local Fields of Deformation and Stresses in Paper Samples under Tension (Deformation Inhomogeneity). Certificate of the Computer Program Official Registration No. 2014617014. 2014. 1 p. 
8. Borodulina S., Kulachenko A., Nygårds M., Galland S. Stress-Strain Curve of Paper Revisited. Nordic Pulp & Paper Research Journal, 2012, vol. 27, iss. 2, pp. 318–328. DOI: 10.3183/npprj-2012-27-02-p318-328
9. Borodulina S., Motamedian H.R., Kulachenko A. Effect of Fiber and Bond Strength Variations on the Tensile Stiffness and Strength of Fiber Networks. International Journal of Solids and Structures, 2016, vol. 154, pp. 19–32. DOI: 10.1016/j.ijsolstr.2016.12.013
10. Considine J.M., Scott C.T., Gleisner R., Zhu J.Y. Use of Digital Image Correlation to Study the Local Deformation Field of Paper and Paperboard. Proceedings of the Advances in Paper Science and Technology: 13th Fundamental Research Symposium, Cambridge, September 11–16, 2005. Cambridge, UK, The Pulp and Paper Fundamental Research Society, 2005, pp. 613–630.
11. Ebner T., Hirn U., Fischer W.J., Schmied F.J., Schennach R., Ulz M.H. A Proposed Failure Mechanism for Pulp Fiber-Fiber Joints. BioResources, 2016, vol. 11, no. 4, pp. 9596–9610. DOI: 10.15376/biores.11.4.9596-9610
12. Eymin G., Tourtollet P., Rech D. 2D F-Sensor: A New Tool for the Online Sheet Formation Characterization. The 34th Pulp and Paper Annual Congress: ABTCP 2001, Sao Paulo, Brazil, October 22–25, 2001. Sao Paulo, 2001, p. 7.
13. Hirn U., Lechthaler M., Bauer W. Registration and Point Wise Correlation of Local Paper Properties. Nordic Pulp & Paper Research Journal, 2008, vol. 23, iss. 4, pp. 374–381. DOI: 10.3183/NPPRJ-2008-23-04-p374-381
14. Kazakov Y., Romanova A., Galimzyanova A. Effect of Fiber Orientation in a Paper Sheet on Ratio of Local Tensile, Compressive and Shear Deformations at the Tensile Test. Euromech Colloquium 592: Deformation and Damage Mechanisms of Woodfibre Network Materials and Structures, Stockholm, Sweden, June 7–9, 2017. Stockholm, KTH Royal Institute of Technology, 2017, pp. 72–73.
15. Korteoja M.J., Lukkarinen A., Kaski K., Gunderson D.E., Dahlke J.L., Niskanen K.J. Local Strain Fields in Paper. Tappi Journal, 1996, vol. 79, no. 4, pp. 217–224.
16. Korteoja M.J, Niskanen K.J., Kortschot M.T., Kaski K.K. Progressive Damage in Paper. Paperi ja puu, 1998, vol. 5, pp. 364–372.
17. Lahti J., Dauer M., Hirn U. Linking Paper Structure to Tensile Deformation and Fracture Initiation. Progress in Paper Physics Seminar 2016 Conference Proceedings, Darmstadt, August 22–26, 2016. Darmstadt, Technische Universität Darmstadt, 2016, pp. 71–75.
18. Lindblad G., Fürst T. The Ultrasonic Measuring Technology on Paper and Board. Kista, Sweden, Lorentzen and Wettre, 2001. 98 p. 
19. Niskanen K.J., Alava M.J., Seppala E.T., Astrom J. Fracture Energy in Fibre and Bond Failure. Journal of Pulp and Paper Science, 1999, vol. 25, no. 5, pp. 167–169.
20. Ostoja-Starzewski M., Castro J. Random Formation, Inelastic Response and Scale Effects in Paper. Philosophical Transactions: Mathematical, Physical and Engineering Sciences, 2003, vol. 361, no. 1806, pp. 965–985.
21. Szewczyk W., Marynowski K., Tarnawski W. An Analysis of Young’s Modulus Distribution in the Paper Plane. FIBRES & TEXTILES in Eastern Europe, 2006, vol. 14, iss. 4(58), pp. 91–94.
22. Uesaka T. Determination of Fiber-Fiber Bond Properties. Handbook of Physical and Mechanical Testing of Paper and Paperboard. Vol. 2. Ed by R.E. Mark. New York, Marcel Dekker Inc., 1984, pp. 379–402.
23. Wallmeier M., Linvill E., Hauptmann M. The Effect of Inhomogeneous Material Properties in Explicit Dynamic Simulation of Paperboard Forming. Progress in Paper Physics Seminar 2016 Conference Proceedings, Darmstadt, August 22–26, 2016. Darmstadt, Technische Universität Darmstadt, 2016, pp. 193–199. 

Received on February 21, 2019