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Negative Thermomechanical Effects in Granular Composites with Incompatible Thermomechanical Parameters of Their Components


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DOI: https://doi.org/10.15866/ireme.v16i4.21996

Abstract


Within the framework of the theory of thermoelasticity, the problem of the generation of additional internal thermal stresses in a composite material with granular fillers under the influence of temperature is posed. Using the spherical inclusion model applied in the theory of composites, constitutive equations are formulated, and their analytical closed-form solutions are constructed. It is shown that the internal thermal stresses initiated in the system have a localized character, are proportional to the values of the elastic moduli of the materials of each phase and the difference between their coefficients of linear thermal expansion, and decrease in inverse proportion to the cube of the radial coordinate. With the help of specific applied examples, it has been established that even at relatively moderate values of temperature changes, these stresses can reach limit values that contribute to the initiation of internal latent localized defects and cracks in the system. The cases of thermally stressed states of a spherical inclusion coated with a layer of another material, an inclusion with a cavity, and a spherical pore are also considered.
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Keywords


Grain Composite; Spherical Filler; Coated Sphere; Hollow Sphere; Thermomechanical Incompatibility; Defect Initiation

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References


R.M. Christensen, Mechanics of Composite Materials (Wiley: New York, NY, USA, 1979).

A.D. Kovalenko, Thermoelasticity: Basic Theory and Applications (Wolters-Noordhoff, Groningen: The Netherlands, 1972).

N. Noda, R.B. Hetnarski, Y. Tanigawa, Thermal Stresses (2nd edition, New York: Taylor and Francis, 2003).

G.I. Weng. Some Elastic Properties of Reinforced Solids with Special Reference to Isotropic Ones Containing Spherical Inclusions, Int. J. Eng. 517 Sci., 22(7), pp. 845-856, 1984
https://doi.org/10.1016/0020-7225(84)90033-8

Christian Karch, Micromechanical Analysis of Thermal Expansion Coefficients, Modeling and Numerical Simulation of Material Science, Vol. 4, n. 3, pp. 1-15, 2014.

R.M. Christensen, K.H. Lo, Solutions for Effective Shear Properties in Three-phase Sphere and Cylinder Models, J. Mech. Phys. Solids, Vol. 27, pр.315-330, 1979.
https://doi.org/10.1016/0022-5096(79)90032-2

J.W. Ju, T.M. Chen, Effective Elastic Moduli of Two-phase Composites Containing Randomly Dispersed Spherical Inhomogeneities, Acta Mech, Vol.103, n.1, pp.123-144, 1994.
https://doi.org/10.1007/BF01180222

F. E. Penado, Effective Elastic Properties of Honeycomb Core with Fiber-reinforced Composite Shells, Open Journal of Composite Materials, Vol.3, n.4, pp. 89-96, 2013.
https://doi.org/10.4236/ojcm.2013.34009

C. Lind, Two Decades of Thermal Expansion Research: Where Do We Stand? Materials, Vol. 5, pр.1125-1154, 2012.
https://doi.org/10.3390/ma5061125

R. Huang, Z. Chen, X. Chu, Z. Wu, L. Li, Preparation and Thermal Properties of Epoxy Composites Filled with Negative Thermal Expansion Nanoparticles Modified by Plasma Treatment, Journal of Composite Materials, Vol. 45, n.16. pр.1675-1682, 2011.
https://doi.org/10.1177/0021998310385031

L.A. Neely, V. Kochergin, E.M. See, H.D. Robinson, Negative Thermal Expansion in a Zirconium Tungstate / Epoxy Composite at Low Temperatures, J. of Materials Science, Vol. 49, n.1, pр.392 - 396, 2014.
https://doi.org/10.1007/s10853-013-7716-8

K. Takenaka, Negative Thermal Expansion Materials: Technological Key for Control of Thermal Expansion, Science and Technology of Advanced Materials, Vol. 13, pр.1-11, 2012.
https://doi.org/10.1088/1468-6996/13/1/013001

K. Nabetani, Y. Muramatsu, K. Oka, K. Nakano, H. Hojo, M. Mizumaki, A. Agui, Y. Higo, N. Hayashi, M. Takano, M. Azuma, Suppression of Temperature Hysteresis in Negative Thermal Expansion Compound BiNi (1- 502 x) Fe(x) O(3) and Zero-thermal Expansion Composite, Applied Physics Letters, Vol. 106, n. 6, pр.061912-1-061912-5, 2015.
https://doi.org/10.1063/1.4908258

C.N. Chu, N. Saka, N.P. Shu, Negative Thermal Expansion Ceramics: a Review, Materials Science and Engineering, V. 95, pр.303-308, 1987.
https://doi.org/10.1016/0025-5416(87)90523-4

W. Miller, S.W. Smith, D.S. Mackenzie, K.E. Ewans, Negative Thermal Expansion: a Review, Journal of Material Science, Vol. 44, pр.5441-5451, 2009.
https://doi.org/10.1007/s10853-009-3692-4

E. Baumeister, S. Klaeger, A. Kaldos, Characterization and Application of Hollow-sphere-composite Lightweight Materials, Proc. IMechE Part L: J. Materials: Design and Applications, IMechE, Vol. 219, pp. 207-216, 2005.
https://doi.org/10.1243/14644207JMDA57

Lubomir Lapcik, Matthew J.A. Ruszala, Martin Vasina, Barbora Lapcikova, Jakub Vlcek, Neil A. Rowson, Liam M. Grover, Richard W. Greenwood, Hollow Spheres as Nanocomposite Fillers for Aerospace and Automotive Composite Materials Applications, Composites, Part B: Engineering, Vol. 106, n.1, pp. 74-80, 2016.
https://doi.org/10.1016/j.compositesb.2016.09.031

B.S. Bhascar, M.S. Desmukh, S.K. Choudhary, D.S. Desmukh, Heat Transfer Through Porous Materials (Aluminum Foam) Empirical Optimization of a Heat Exchanger, International Journal of Mechanical Engineering, Vol. 7, n. 1, pp.47-55, 2022

El Mabchour, F., Abouchadi, H., Es-Sadek, M., Taha-Janan, M., Numerical and Theoretical Analysis of Thermal Behavior of a Composite Material Randomly Distributed, (2019) International Review of Mechanical Engineering (IREME), 13 (4), pp. 265-274.
https://doi.org/10.15866/ireme.v13i4.17152

Hiremath, P., Gowrishankar, M., Shettar, M., Sharma, S., Prabhu, P., Kumar, N., Effect of Microstructure, Phase Formation on the Mechanical and Surface Characteristics of Low Alloy Medium Carbon Forged Steels - A Review, (2021) International Review of Mechanical Engineering (IREME), 15 (6), pp. 325-334.
https://doi.org/10.15866/ireme.v15i6.20972

El Mabchour, F., Abouchadi, H., Es-sadek, M., Taha-Janan, M., Theoretical and Numerical Contribution for Prediction of the Mechanical Properties of a Randomly Distributed Reinforcement in the Matrix, (2020) International Review of Mechanical Engineering (IREME), 14 (5), pp. 303-309.
https://doi.org/10.15866/ireme.v14i5.19150

T.G. Beleicheva, K.K. Ziling, Thermoelastic Axisymmetric Problem for a Two-layer Cylinder, J. Appl. Mech. Technical Physics, V. 19, pр.108-113, 1978.
https://doi.org/10.1007/BF00851374

D.E. Carlson, Thermoelasticity, Encyclopedia of Physics (ed. Trusdell C., Springer, Berlin, 1972).

R.B. Hetnarski, J. Ignaczak, Mathematical Theory of Elasticity (New York: Taylor and Francis, 2004).
https://doi.org/10.4324/9780203502488

Pavlov, A., Saifullin, R., Farkhshatov, M., Fayurshin, A., Gaskarov, I., Islamov, L., Shaymukhametova, D., Study of Part Restoration Modes Using Electrocontact Welding with Gauze Filler Materials, (2021) International Journal on Engineering Applications (IREA), 9 (2), pp. 62-70.
https://doi.org/10.15866/irea.v9i2.19511

Awwad, M., Investigations on the Effects of Styrene Butadiene Styrene in Asphalt Mixture Design, (2021) International Review of Civil Engineering (IRECE), 12 (4), pp. 209-217.
https://doi.org/10.15866/irece.v12i4.18715


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