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Simulation of High-Temperature Isothermal Elasto-Plastic Deformation Processes of Testing Samples

Authors: Temis Yu.M., Khudyakova A.D. Published: 05.12.2017
Published in issue: #6(117)/2017  

DOI: 10.18698/0236-3941-2017-6-49-67

 
Category: Mechanics | Chapter: Mechanics of Deformable Solid Body  
Keywords: plasticity, plastic flow, complex deformation, stress-strain state, mechanical tests, tube specimen

The model of elastoplastic behaviour of a material with account taken of creep is applied to modeling of isothermal processes of testing samples at high temperatures. In our research we obtained the dependences of the relationship between the increments of elastic and plastic deformations and creep strains with stress increments according to the relations of flow theories. This paper shows some features of the software implementation of the model, taking into account the error correction for calculation beyond the elastic limit. We developed methods for determining the plasticity and creep parameters for a model of the Arutyunyan --- Vakulenko type and creep flow type models. We carried out the sample loading modeling along the trajectories of deformation changes for different values of the constant temperatures, including elevated temperatures, at which creep effects are manifested

References

[1] Bondar V.S. Neuprugost. Varianty teorii [Inelasticity. Theory variants]. Moscow, Fizmatlit Publ., 2004. 144 p.

[2] Demyanushko I.V., Temis Yu.M. To the theorization of plastic yield with anisotropic hardening for materials under physical field impact. Izvestiya AN SSSR. MTT, 1975, no. 5, pp. 111–119 (in Russ.).

[3] Temis Yu.M. Teoriya neizotermicheskogo plasticheskogo techeniya s izotropnym i anizotropnym uprochneniem. Mashinostroenie. Entsiklopediya. Vol. 1–3. Kn. 1. Dinamika i prochnost mashin. Teoriya mekhanizmov i mashin [Nonisothermal plastic yield theory with isotropic and anisotropic hardening. In: Mechanical engineering. Encyclopedia. Vol. 1–3. P. 1. Machine dynamics and durability. Theory of machines and mechanisms]. Moscow, Mashinostroenie Publ., 1994. Pp. 227–231.

[4] Temis Yu.M., Alkhimov D.A., Martynova A.D. Application of the invariant plastic flow theory for mathematical modeling of the processes of testing specimens under complex elastic-plastic deformation. Vestnik Samarskogo universiteta. Aerokosmicheskaya tekhnika, tekhnologii i mashinostroenie, 2015, vol. 14, no. 3-1, pp. 24–36 (in Russ.).

[5] Arutyunyan R.A, Vakulenko A.A. On repetitive loading of elastic-plastic medium. Izvestiya AN SSSR. Ser. Mekhanika, 1965, no. 4, pp. 53–61 (in Russ.).

[6] Kachanov L.M. Teoriya polzuchesti [Creep theory]. Moscow, Fizmatgiz Publ., 1960. 455 p.

[7] Temis Yu.M. Self-correcting step-by-step method for solving non-linear problems of elasticity and plasticity theory. Trudy TsIAM, 1980, no. 918, pp. 1–24 (in Russ.).

[8] Radonovich D.C. Methods of extrapolating low cycle fatique data to high stress amplitudes. Master Thesis. University of Central Florida, 2007. 135 p.

[9] Bertram A., Olschewski J., Sievert R. Experimental and numerical investigations of thermal-mechanical behaviour of poly- and single-crystalline nickel-base superalloys. Arch. Mech. Warshawa, 1994, vol. 46, no. 4, pp. 413–429.

[10] Shaw S.W. Nickel-base superalloys. Patent 4207098 USA. Publ. 10.06.1980.

[11] Xijia Wu. Life prediction of gas turbine materials. In: Gas turbines, 2000. Pp. 215–282.

[12] Frenz H., Meersman J., Ziebs J., Kuhn H.-J., Sievert R., Olschewski J. High-temperature behaviour of IN738LC under isothermal and thermo-mechanical cyclic loading. Material Science and Engineering: A, 1997, vol. 230, no. 1-2, pp. 49–57. DOI: 10.1016/S0921-5093(97)00025-7 Available at: http://www.sciencedirect.com/science/article/pii/S0921509397000257

[13] Ziebs J., Meersmann J., Kuhn H.-J. Effects of proportional and nonproportional straining sequence on hardening/softening behaviour of IN738LC at elevated temperatures. In: Multiaxial Plasticity. Cachan-France, 1992, pp. 224–255.