Evaluation of the influence of yield conditions J2–J3 on the stress state of tubular specimens to confirm the static strength of gas turbine shafts
| Authors: Khudyakova A.D., Sapronov D.V., Babinets I.S., Kuryshev I.M. | Published: 17.11.2025 |
| Published in issue: #11(788)/2025 | |
| Category: Aviation, Rocket and Technology | Chapter: Aircraft Strength and Thermal Modes | |
| Keywords: yield condition J2–J3, third invariant, plastic flow, type of stress state, Lode parameter, tangential rigidity |
The adopted yield condition can influence the results of calculating the stress-strain state of a part in the case of sensitivity of the part material to the type of stress state. Of interest is the development of a methodology for selecting the yield condition, as well as an assessment of the degree of its influence on the calculation results. The convexity and symmetry requirements imposed on the yield conditions of metal polycrystalline alloys, together with the hypothesis of an elastic change in volume, make it possible to consider a limited set of yield conditions enclosed between the Tresca and Ishlinsky-Hill hexagonal prisms in the space of principal stresses — yield conditions J2–J3. The paper analyzes known versions of such conditions, using the example of B95 alloy, the operation of the algorithm for selecting the condition and estimating its parameters based on the results of testing tubular specimens for tension and torsion is demonstrated. Simulation of tests of tubular specimens under successive tension and torsion using various yield conditions is carried out. Analysis of the calculation results showed that the choice of the yield condition has a significant effect on the equivalent stresses and parameters of the type of stress state during torsion after preliminary stretching.
EDN: BTBQLX, https://elibrary/btbqlx
References
[1] Gromov V.I., Yakusheva N.A., Vostrikov A.V. et al. High strength structural steels for gas-turbine engine shafts (review). Aviatsionnye materialy i tekhnologii [Aviation Materials and Technologies], 2021, no. 1, pp. 3–12, doi: https://doi.org/10.18577/2713-0193-2021-0-1-3-12 (in Russ.).
[2] Kuzmin E.P., Servetnik A.N. Yield surface investigation of alloys during model disk spin tests. Nauka i obrazovanie: nauchnoe izdanie [Science and Education: Scientific Publication], 2014, no. 5. EDN: SKCZKJ (in Russ.).
[3] Servetnik A.N. Load-carrying capability simulation of aviation gas turbine engine disk. Spravochnik. Inzhenernyy zhurnal [Handbook. An Engineering Journal], 2012, no. 10, pp. 44–49. (In Russ.).
[4] Nozhnitsky Y.A., Servetnik A.N. Prevention of hazardous failure of the turbine rotor due to its overspeed. IOP Conf. Ser.: Mater. Sci. Eng., 2018, vol. 449, pp. 12–25, doi: http://dx.doi.org/10.1088/1757-899X/449/1/012025
[5] Malinin N.N. Prikladnaya teoriya plastichnosti i polzuchesti [Applied theory of plasticity and creep]. Moscow, Mashinostroenie Publ., 1975. 399 p. (In Russ.).
[6] Hosford W.F. Generalized isotropic yield criterion. J. Appl. Mech., 1972, vol. 39, no. 2, pp. 607–609, doi: https://doi.org/10.1115/1.3422732
[7] Drucker D.C. Relation of experiments to mathematical theories of plasticity. J. Appl. Mech., 1949, vol. 16, no. 4, pp. 349–357, doi: https://doi.org/10.1115/1.4010009
[8] Revil-Baudard B., Cazacu O., Chandola N. Effect of the yield stresses in uniaxial tension and pure shear on the size of the plastic zone near a crack. Int. J. Plast., 2018, vol. 102, pp. 101–117, doi: https://doi.org/10.1016/j.ijplas.2017.12.006
[9] Karafillis A.P., Boyce M.C. A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids, 1993, vol. 42, no. 12, pp. 1859–1886, doi: https://doi.org/10.1016/0022-5096(93)90073-O
[10] Owen D.J.R., Hinton E. Finite elements in plasticity: theory and practice. Prineridge Press, 1980. 594 p.
[11] Khudyakova A.D., Kuryshev I.M., Sapronov D.V. Polzovatelskaya model plasticheskogo techeniya s izotropnym uprochneniem i poverkhnostyu nagruzheniya Khosforda («Hosford UserMat») [A user-defined plastic flow model with isotropic hardening and Hosford loading surface (Hosford UserMat)]. Software registration certificate no. 2024660541 of 07.05.2024. (In Russ.).
[12] Khudyakova A.D., Sapronov D.V., Kuryshev I.M. Adaptation of the return-mapping algorithm to the Hosford yield criterion. Aviatsionnye dvigateli [Aviation Engines], 2024, no. 4, pp. 93–106. (In Russ.).
[13] Zubchaninov V.G., Gultyaev V.I., Alekseev A.A. et al. Testing the isotropy postulate at deformation of V95 aluminum alloy along two-link polygonal-chain trajectories. Vestnik Moskovskogo universiteta. Ser. 1. Matematika. Mekhanika, 2023, no. 5, pp. 47–52, doi: https://doi.org/10.55959/MSU0579-9368-1-64-5-7 (in Russ.). (Eng. version: Moscow Univ. Mech. Bull., 2023, vol. 78, no. 5, pp. 128–133, doi: https://doi.org/10.3103/S0027133023050059)
[14] Ilyushin A.A. Mekhanika sploshnoy sredy [Mechanics of continuum medium]. Moscow, MGU Publ., 1990. 310 p. (In Russ.).
[15] Bondar V.S., Abashev D.R. Plastic deformation of materials sensitive to a type of stress state. Vestnik PNIPU. Mekhanika [PNRPU Mechanics Bulletin], 2018, no. 1, pp. 29–39, doi: https://doi.org/10.15593/perm.mech/2018.1.03 (in Russ.).