Modeling of structurization in the adhesive layer in the creation of multilayer objects

Authors

  • El’mir Ravil’yevich Saifullin National Research Tomsk State University
  • Anna Georgiyevna Knyazeva Institute of Strength Physics and Material Science SB RAS

DOI:

https://doi.org/10.7242/1999-6691/2022.15.1.1

Keywords:

laminated object manufacturing, three-layer system, structurization, adhesive layer, thermophysical model

Abstract

In this paper, we propose a thermophysical model of structurization in the adhesive layer during the creation of products by laminating. Modeling is reduced to the solution of a three-layer conjugate thermal conductivity problem. The thermal contact between the layers is assumed to be ideal. It is suggested that structurization activated in the intermediate layer (adhesive layer) can lead to a change in the thermal conductivity coefficient of the adhesive. The lamination process is controlled by a hot roll with a given radius and a fixed temperature. The roll moves along the outer surface at a constant velocity; the force of the roll pressing on the surface determines the size of the contact area and the maximum effective stresses, which are known from the solution of the contact problem and are the parameters in the proposed model. The structurization is represented as a reversible reaction, the forward and reverse rates of which depend on the temperature and the acting stresses. The problem is implemented numerically. The thermal problem is solved using the coordinate splitting difference scheme and the double-sweep method; the kinetic problem is solved using the semi-implicit Euler method. The fields of temperature and structurization level at different moments of time are calculated by varying the values of model parameters. To find stationary or quasi-stationary modes of the structurization process, the behavior of the average integral values of the structurization level and temperature is investigated. It was found that the model parameters have an ambiguous effect on the nature of the temperature distribution and the structurization level; the structurization process does not proceed to its end. The structurization level in the adhesive layer depends on the process parameters (roll temperature, applied pressure and velocity of its movement), as well as on the geometric and physical parameters of the layers.

Downloads

Download data is not yet available.

References

Lee J.-Y., An J., Chua C.K. Fundamentals and applications of 3D printing for novel materials. Applied Materials Today, 2017, vol. 7, pp. 120-133. https://doi.org/10.1016/J.APMT.2017.02.004

Yan Y., Li S., Zhang R., Lin F., Wu R., Lu Q., Xiong Z., Wang X. Rapid prototyping and manufacturing technology: Principle, representative technics, applications, and development trends. Tsinghua Science and Technology, 2009, vol. 14, pp. 1-12. https://doi.org/10.1016/S1007-0214(09)70059-8

Prechtl M., Otto A., Geiger M. Rapid tooling by Laminated Object Manufacturing of metal foil. Mater. Res., 2005, vol. 6-8, pp. 303-312. https://doi.org/10.4028/www.scientific.net/amr.6-8.303

Shuping Y., Murakami T., Nakajima N. Accuracy study on Laminated Object Manufacturing for the metallic functional parts with complex surface. of the Annual International SFF Symposium, 1999, pp. 711-718. http://utw10945.utweb.utexas.edu/Manuscripts/1999/1999-082-Suping.pdf (accessed 20 July 2021)

Zhang Y., Han J., Zhang X., He X., Li Z., Du S. Rapid prototyping and combustion synthesis of TiC/Ni functionally gradient materials. Sci. Eng., 2001, vol. 299, pp. 218-224. https://doi.org/10.1016/S0921-5093(00)01377-0

Krishenik P.M., Merzhanov A.G., Shkadinskii K.G. Nonstationary regimes of transformation of multilayered heterogeneous systems. Explos. Shock Waves, 2002, vol. 38, pp. 313-321. https://doi.org/10.1023/A:1015605920193

Krishenik P.M., Merzhanov A.G., Shkadinskii K.G. Frontal transformation modes of structured energetic heterogeneous systems. Explos. Shock Waves, 2005, vol. 41, pp. 164-173. https://doi.org/10.1007/s10573-005-0019-x

Chaschina A.A., Knyazeva A.G. Regimes of solid-phase reaction propagation in a slit between two inert plates. mezomekh. – Physical Mesomechanics, 2004, vol. 7, no. S1-1, pp. 82-88.

Chashchina A.A., Knyazeva A.G. Regimes of connecting materials with the help of synthesis in the solid phase. Chemistry for Sustainable Development, 2005, vol. 13, no. 2, pp. 343-350.

Knyazeva A.G., Aligozhina K.A. Initsiirovaniye teplovym impul’som khimicheskoy reaktsii v shcheli mezhdu raznorodnymi materialami [Thermal pulse initiation of a chemical reaction in a gap between dissimilar materials]. vuzov. Fizika – Russian Physics Journal, 2013, vol. 56, no. 12/2, pp. 4-38.

Aligozhina K.A., Knyazeva A.G. Chemical reaction propagation two inert materials with different properties taking into account the reagent melting. Izv. vuzov. Fizika – Russian Physics Journal, 2015, vol. 58, no. 6/2, pp. 5-9.

Aligozhina K.A., Knyazeva A.G. Modeling the solid phase reaction distribution in the case of conjugate heat exchange. Explos. Shock Waves, 2017, vol. 53, pp. 411-419. https://doi.org/10.1134/S0010508217040050

Prokof’ev V.G., Smolyakov V.K. Gasless combustion in two layer structures: A theoretical model. J. Self-Propag. High-Temp. Synth., 2013, vol. 22, pp. 5-10. https://doi.org/10.3103/S1061386213010093

Prokofiev V.G., Smolyakov V.K. Gasless combustion of a system of thermally coupled layers. Explos. Shock Waves, 2016, vol. 52, pp. 62-66. https://doi.org/10.1134/S0010508216010081

Prokofev V.G., Lapshin O.V., Smolyakov V.K. Microkinetics of combustion of layered compositions with a low-melting inert layer. Vestnik TGU. Matematika i mekhanika – Tomsk State University Journal of Mathematics and Mechanics, 2018, no. 52, pp. 102-113. https://doi.org/10.17223/19988621/52/10

Knyazeva A.G. Model of chemical conversion initiation in the adhesive bonding layer during roll motion in the process of laminated object creation. Nanoscience and Technology: An International Journal, 2018, vol. 9, pp. 77-89. https://doi.org/10.1615/NANOSCITECHNOLINTJ.2018026088

Birger I.A., Shorr B.F., Iosilevich G.B. Raschet na prochnost' detaley mashin: Spravochnik [Calculation of the strength of machine parts: Reference book]. Moscow, Mashinostroyeniye, 1993. 640 p.

Kholopov V.M., Khudyaev S.I. Neyedinstvennost’ statsionarnoy volny goreniya [Uniqueness of the stationary wave of combustion]. modelirovaniye – Mathematical Models and Computer Simulations, 1998, vol. 10, no. 5, pp. 91-108.

Khudyayev S.I., Ushakovskiy O.V. Prostranstvennaya neodnorodnost’ i avtokolebaniya pri techenii strukturirovannoy zhidkosti [Space nonuniformity and auto-oscillations in the structured liquid flow]. modelirovaniye – Mathematical Models and Computer Simulations, 2002, vol. 14, no. 7, pp. 53-73.

Belyaeva N.A. Neodnorodnoye techeniye strukturirovannoy zhidkosti [Heterogeneous flow of the structured liquid]. modelirovaniye – Mathematical Models and Computer Simulations, 2006, vol. 18, no. 6, pp. 3-14.

Stolin A.M., Khudyayev S.I. Obrazovaniye prostranstvenno-neodnorodnykh sostoyaniy strukturirovannoy zhidkosti pri sverkhanomalii vyazkosti [Formation of spatially inhomogeneous states of a structured fluid with superviscosity anomaly]. DAN SSSR – Proceedings of the USSR Academy of Sciences, 1981, vol. 260, no. 5, pp. 1180-1184.

Knot’ko A.V., Presnyakov I.A., Tret’yakov Yu.D. Khimiya tverdogo tela [Chemistry of solids]. Мoscow, "Akademiya", 2006. 304 p.

Brown M.E., Dollimore D., Galwey A.K. Reactions in the solid state. Elsevier, 1980. 339 p.

Emanuel’ N.M., Knorre D.G. Kurs khimicheskoy kinetiki [Course on chemical kinetics]. Мoscow, Vysshaya shkola, 1984. 463 p.

Butyagin P.Yu. Problems in mechanochemistry and prospects for its development. Chem. Rev., 1994, vol. 63, pp. 965-976. https://doi.org/10.1070/RC1994v063n12ABEH000129

Merzhanov A.G., Mukas’yan A.S. Tverdoplamennoye goreniye [Solid-flame combustion]. Мoscow, Torus Press, 2007. 336 p.

Park J., Tari M.J., Hahn H.T. Characterization of the laminated object manufacturing (LOM) process. Rapid Prototyping Journal, 2000, vol. 6, pp. 36-50. https://doi.org/10.1108/13552540010309868

Dermeik B., Travitzky N. Laminated object manufacturing of ceramic-based materials. Eng. Mater., 2020, vol. 22, 2000256. https://doi.org/10.1002/adem.202000256

Novichenok L.N., Shul’man Z.P. Teplofizicheskiye svoystva polimerov [Thermal-physical properties of polymers]. Minsk, Nauka i tekhnika, 1971. 120 p.

Grigor’yev I.S., Meylikhov E.Z. (eds.) Fizicheskiye velichiny. Spravochnik [Physical values: Reference book]. Мoscow, Energoatomizdat, 1991. 1232 p.

Flach L., Klostennan D.A., Chartoff R.P. A thermal model for laminated object manufacturing (LOM). of the International Solid Freeform Fabrication Symposium. 1997. P. 677-688. https://doi.org/10.15781/T2QZ2336G

Zak G., Wang W.X. Adhesive bonding of sheet for laminated metal tooling. of the International Solid Freeform Fabrication Symposium. 2002. P. 502-509. http://dx.doi.org/10.26153/tsw/4512

Park J., Kang M.K., Hahn H.T. Composite material based on laminated object manufacturing (LOM) process simulation. ACL, 2001, vol. 10, pp. 237-245. https://doi.org/10.1177%2F096369350101000504

Samarskiy A.A. Teoriya raznostnykh skhem [Theory of difference schemes]. Moscow, Nauka, 1989. 616 p.

Published

2023-12-03

Issue

Section

Articles

How to Cite

Saifullin, E. R., & Knyazeva, A. G. (2023). Modeling of structurization in the adhesive layer in the creation of multilayer objects. Computational Continuum Mechanics, 15(1), 5-18. https://doi.org/10.7242/1999-6691/2022.15.1.1