Abstract
Constitutive steady-state creep equations are proposed for orthotropic materials with different tensile and compressive resistances. The resistances are described using lower functions with different exponents for tension and compression. Equations are written for tension, shear, and plane stress problems. The model is used to solve the problem of torsion by a constant moment at a temperature T = 200°C for annular cross-section rods cut from a plate of AK4-1 transversely isotropic alloy in the normal direction to the plate and in the longitudinal direction. Constitutive equations for torsion are derived. Values of model parameters were obtained in experiments on uniaxial tension and compression of solid circular specimens cut in various directions. An analytical solution for the rate of torsion angle of a circular cross-section rod cut normal to the plate was obtained for the same exponent in tension and compression. For a rod cut in the longitudinal direction, an upper estimate of the torsion angle rate was obtained. The calculated results are in satisfactory agreement with experimental data.
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Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 61, No. 1, pp. 102–117, January–February, 2020.
Original Russian Text © I.A. Banshchikova.
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Banshchikova, I.A. Construction of Constitutive Equations for Orthotropic Materials with Different Properties in Tension and Compression under Creep Conditions. J Appl Mech Tech Phy 61, 87–100 (2020). https://doi.org/10.1134/S0021894420010101
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DOI: https://doi.org/10.1134/S0021894420010101