A physical model for describing the diffusion creep in perovskite-type material given oxygen non-stoichiometry and tensile–compressive asymmetry is developed. Reference tests for determining the creep parameters in the constitutive equations are discussed. The proposed model is used for combined numerical-and-analytical simulation of diffusion creep in a hollow thick-walled perovskite cylinder under generalized plane strain conditions. The analytical solution for oxygen non-stoichiometry is used. Also, the closed-form general expressions for stresses in a hollow cylinder undergoing diffusion creep at a given oxygen chemical potential gradient are derived. The numerical integration is performed using the-Runge–Kutta–Merson method of the fourth order with automatic step control. The stress redistribution over time in the cylinder under the diffusion creep conditions is analyzed. The numerical results related to tensile–compressive asymmetry and oxygen surface exchange in a perovskite cylinder are discussed.
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Translated from Prikladnaya Mekhanika, Vol. 57, No. 3, pp. 95–106, May–June 2021.
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Zolochevskyi, O.O., Parkhomenko, L.O. & Martynenko, O.V. Effect of Non-Stoichiometry and Difference between the Tensile and Compressive Moduli of Elasticity of Perovskite on the Diffusion Creep of a Thick-Walled Perovskite Cylinder. Int Appl Mech 57, 336–346 (2021). https://doi.org/10.1007/s10778-021-01085-3
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DOI: https://doi.org/10.1007/s10778-021-01085-3