Intrastructural thermal stresses in granular composites with homogeneous and heterogeneous spherical fillers caused by the thermomechanical incompatibility of their phases are investigated. Based on the theory of thermoelasticity, resolving differential equations for the cases of continuous, hollow, and layered spherical inclusions are formulated, and their solutions in closed and expanded forms are constructed. It is shown that the fields of incipient thermal stresses have concentrators on the interface surfaces, which decrease inversely with the cube of the radial coordinate. Particular examples are discussed.
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References
R. M. Christiansen, Mechanics of Composite Materials, Wiley, New York (1979).
G. N. Tretyachenko, B. S. Karpinos, and V. G. Barylo, Fracture of Materials on Cyclic Heating [in Russian], Naukova Dumka, Kiev (1993).
V. I. Gulyaev, V. V. Mozgovyi, L. V. Shevchuk, and O. I. Bilobryts’ka, “On thermomechanical effects in elastic media with reinforcing rods (fibers),” Strength Mater, 54, No. 2, 199–209 (2022). https://doi.org/10.1007/s11223-022-00392-5
V. I. Gulyayev, V. V. Gaidaichuk, V. V. Mozgovyi, et al., Thermoelastic State of Multilayer Pavements [in Ukrainian], National Technical University, Kyiv (2018).
V. I. Gulyayev, V. V. Mozgovyi, N. V. Shlyun, et al., “Negative thermomechanical effects in granular composites with incompatible thermomechanical parameters of their components,” Int Rev Mech Eng, 16, No. 4, 188–197 (2022). https://doi.org/10.15866/ireme.v16i4.21996
C. Karch, “Micromechanical analysis of thermal expansion coefficient,” Model Numer Simul Mater Sci, 3, 1– 15 (2014).
G. I. Weng, “Some elastic properties of reinforced solids with special reference to isotropic ones containing spherical inclusions,” Int J Eng Sci, 22, No. 7, 845–856 (1984).
T. G. Beleicheva and K. K. Ziling, “Thermoelastic axisymmetric problem for a two-layer cylinder,” J Appl Mech Tech Phys, 19, 108–113 (1978).
R. M. Christensen and K. H. Lo, “Solutions for effective shear properties in three-phase sphere and cylinder models,” J Mech Phys Solids, 27, 315–330 (1979).
M. Logache, A. Agbosson, J. Pastor, and D. Muller, “Role of interface on the elastic behavior of composite materials: Theoretical and experimental analysis,” J Comp Mater, 28, No. 12, 1140–1157 (1994). https://doi.org/10.1177/002199839402801205
M. Pokseresht, R. Ansari, and M. K. Hassanzadeh-Aghdam, “Investigating the effect of carbon interfacial layer on the elastoplastic response of ceramic particle-reinforced metal matrix composites,” Mech Based Des Struc, 51, No. 2, 841–854 (2020). https://doi.org/10.1080/15397734.2020.1854783
E. Baumeister, S. Klaeger, and A. Kaldos, “Characterization and application of hollow-sphere-composite lightweight materials,” P I Mech Eng P-L J Mat, 219, 207–216 (2005).
L. Lapčik, M. J. A. Ruszala, M. Vašina, et al., “Hollow spheres as nanocomposite fillers for aerospace and automotive composite materials applications,” Compos Part B-Eng, 106, No. 1, 74–80 (2016).
Tack Hee Han, Ki Yong Yoon, and Young Jong Kang, "Compressive strength of circular hollow reinforced concrete confined by an internal steel tube," Constr Build Mater, 24, No. 9, 1690–1699 (2010).
A. D. Kovalenko, Fundamentals of Thermoelasticity [in Russian], Naukova Dumka, Kiev (1970).
D. E. Carlson, “Thermoelasticity,” in: C. Truesdell (Ed.), Encyclopedia of Physics, Vol. VIa/2, Springer, Berlin (1972), pp. 297–345.
R. B. Hetnarski and J. Ignaczak, Mathematical Theory of Elasticity, Taylor and Francis, New York (2004).
N. Noda, R. B. Hetnarski, and Y. Tanigawa, Thermal Stresses, 2nd edition, Taylor and Francis, New York (2003).
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Translated from Problemy Mitsnosti, No. 2, pp. 23 – 34, March – April, 2023.
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Gulyaev, V.I., Shlyun, N.V. Intrastructural Thermal Stresses in Composites with Homogeneous and Heterogeneous Spherical Inclusions. Strength Mater 55, 254–264 (2023). https://doi.org/10.1007/s11223-023-00520-9
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DOI: https://doi.org/10.1007/s11223-023-00520-9