The central-symmetrical problem of thermoelasticity for a multi-layered spherical tank is considered. The thermal stresses were caused by a temperature difference between the inner and outer surfaces of the tank. Two approaches to solving this problem have been proposed. In the first approach, the boundary problem defined in the components of a considered inhomogeneous spherical tank was solved. In the second approach, the homogenization method with microlocal parameters was used. Good agreement between the solutions was obtained.
REFERENCES(28)
1.
Achenbach JD. A theory of elasticity with microstructure for directionally reinforces composites. Wien: Springer-Verlag; 1975.
Gan H, Orozco CE, Herkovich CT. A strain-compatibile method for micromechanical analysis of multi-phase composites, Int. J. Solids Struct. 2000; 37: 5097-5122.
Kushnir RM, Yasinskyy AV, Tokovyy YV. Effect of material properties in the direct and inverse thermomechanical analyses of multilayer functionally graded solids. Adv. Eng. Mater. 2022; 24(5): 110-115.
Kulchytsky-Zhyhailo R, Matysiak SJ. On heat conduction problem in a semi–infinite periodically laminated layer. Int. Comm. Heat Mass Transfer. 2005; 32: 123-132.
Kulchytsky-Zhyhailo R, Matysiak SJ. On some heat conduction problem in a periodically two–layered body. Comparative results. Int. Comm. Heat Mass Transfer. 2005; 32: 332-340.
Kulchytsky-Zhyhailo R, Kolodziejczyk W. On the axisymmetric contact problem of pressure of a rigid sphere into a periodically two-layered semi-space. Int. J. Mech. Sci. 2007; 49: 704-711.
Kulchytsky-Zhyhailo R, Matysiak SJ, Perkowski DM. On some thermoelastic problem of a nonhomogeneous long pipe. Int. J. Heat and Technology. 2021; 39(5): 1430-1442.
Lee WY, Stinton DP, Berndt CC, Erdogen F, Lee Y–D, Mutasin Z. Concept of functionally graded materials for advanced thermal barrier coating applications. J. Amer. Ceram. Soc. 1996; 79: 3003-3012.
Wang BL, Han JC, Du SY. Crack problems for functionally graded materials under transient thermal loading. Journal of Thermal Stresses. 2000; 23(2): 143-168.
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