Abstract
In this chapter, the most validated experimental data for creep and durability of structural materials subjected to unsteady loading and heating are presented. The effect of heredity and adaptability on the material deformation hardening under uni- and multi-axial stress states is demonstrated. A vector theory of stabilized anisotropic-ray hardening (the SARH theory) of a material considering non-isothermal creep under arbitrary loadings, including non-proportional ones, is formulated. The theory is based on the experimentally justified concept of directed and stabilized nature of creep deformation hardening. It develops the results of previous publications on the subject. The design model reveals prominent features of non-steady creep, such as increase in rate of strain development after repeated loadings, spatial variation of the strain rate evolution at rotation of the stress tensor with or without unloading, subsequent stabilizing of the creep rate along a new direction, complete or partial creep inhibition under unloading, and aftereffect. A quasi-steady version of the theory takes into consideration the overall effect of rapid variation of operating regimes on creep evolution.
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References
Arutjunjan NK (1952) Some problems of theory of creep. Gostekhizdat, Moscow (in Russian)
Birger IA, Shorr BF (eds) (1975) Thermal strength of machine parts. Mashinostroenie, Moscow (in Russian)
Carreker RP, Leschen JG, Lubahn JD (1949) Transient plastic deformation. Trans Amer Soc Eng 180:139–146
Chaboche JL (1989) Constitutive equations for cyclic plasticity and cyclic viscoplasticity. Int J Plast 5:247–302
Chaboche JL (2008) A review of some plasticity and viscoplasticity constitutive equations. Int J Plast 24:1642–1693
Davenport CC (1938) Correlation of creep and relaxation properties of copper. J Appl Mech 60:56
Davis EA (1943) Creep and relaxation of oxygen free copper. J Appl Mech 10(2)
Dul’nev RA, Kotov PI (1980) Thermal fatigue of metals. Mashinostroenie, Moscow (in Russian)
Evans RW, Wilshire B (1985) Creep of metals and alloys. Cariton House Terrace, London
Getzov LB (1969) To problem of cyclic creep and relaxation of high-resistant alloys. J Strength Prob 5:34–38 (in Russian)
Ivanova GM (1958) Creep of the alloy EI437B at variable temperatures. Izv. AN SSSR<OTN, Mech Mach Build 4:98–99 (in Russian)
Johnson AE (1960) Complex stress creep of metals. Metall Rev 5(20):447–506
Johnson AE, Henderson J, Mathur VD (1958) Creep under changing complex creep systems, Engineer, V. 206
Kachanov LM (1960) Theory of creep. Fizmatgiz, Moscow (in Russia)
Katz SN (1957) Creep and failure of tubes affected by inner pressure. Izv. AN SSSR ONT Mech Mashinostroenie 10:86–89 (in Russian)
Kennedy AJ (1965) Creep and fatigue in metals. Metallurgiya, Moscow
Lemaitre J, Chaboche JL (1990) Mechanics of solid materials. Cambrodge University Press, Cambridge
Lemaitre J, Chaboche JL (2004) Mecanique des materiaux solides, 2nd edn. Dunod, Paris
Malinin NN (1952) Design on creep. In: Ponomarev SD (ed) Foundations of contemporary methods of strength design in machinery, Mashgiz, Moscow (in Russian)
Malinin NN (1975) Applied theory of plasticity and creep, 2nd edn. Mashinostroenie, Moscow (in Russian)
Malinin NN, Khadjinsky GM (1969) Formulation of the creep theory with anisotropic hardening. Izv. AN SSSR MTT 3:148–152 (in Russian)
Malinin NN, Khadjinsky GM (1972) Theory of creep with anisotropic hardening. Int J Mech Sci 14(4):235–246
Murakami S, Ohno N (1982) A constitutive equation of creep based on the concept of a creep-hardening surface. Int J Solids Struct 18(7):597–609
Namestnikov VS (1957) On creep under variable loads at complex stress state. Izv. Akad. Nayk SSSR OTN 10 (in Russian)
Namestnikov VS (1960) Direct and opposite torsion under creep conditions cJourn. PMTF 1:121–122
Namestnikov VS (1963) Combined stress creep under changing loads. In: Proceedings of the joint international conference on creep
Namestnikov VS, Khvostunkov AA (1960) Creep of duralumin at constant and variable loads. J PMTF 4:90–95 (in Russian)
Odqvist FKG (1953) Influence of primary creep on stresses in structural parts. Trans R Inst Technol 66
Odqvist FKG (1959) Engineering theories of creep “Mechanics” 2
Odqvist FKG (1974) Mathematical theory of creep and creep rupture, 2nd edn. Clarendon Press (1st edn., 1966)
Rabotnov YuN (1948) Designing machine parts for creep. Ixv. Akad. Nauk SSSR, OTN. 6 (in Russian)
Rabotnov YN (1966) Creep of construction elements. Physmatgiz, Moscow; Rabotnov YN (1969) Creep problems in structure members (trans). North Holland, Amsterdam
Rozovsky MI (1951) Creep and durable damage of materials. J Theor Phys v.XXI(11) (in Russian)
Samarin YP, Sorokin OV (1969) On formulation of stochastic equations for creep. In: Rapport at conference of Kuybyshev Polytechnic Institute, Kuybyshev, vol 31 (in Russian)
Shorr BF (1964) Cycle creep of nonuniformly heated cylinders. In: Thermal stresses in construction elements, vol 4. Naukova Dumka, Kiev (in Russian)
Shorr BF (1966) Periodical processes and adaptability at creep. In: Strength and dynamics of aviation engines, vol 4. Mashinostroenie, Moscow, pp 188–194 (in Russian)
Shorr BF (1970a) Unstable creep design. In: Thermal stresses in construction elements, vol 9. Naukova Dumka, Kiev, pp 165–173 (in Russian)
Shorr BF (1970b) Cycle creep design of beams using a modified theory of heritable influence. In: Thermal stresses in construction elements, vol 10. Naukova Dumka, Kiev, pp 152–159 (in Russian)
Shorr BF, Dul’nev RA (1964) Investigations of thermal stresses and creep at varying temperatures. J Zavodskaya Laboratoriya 3:340–347 (Review in Russian)
Shorr BF, Dul’nev RA (1968) Cycle creep. In: Fridman JB (ed) Materials strength and deformation in nonuniform physical fields, vol II. Atomizdat, Moscow, pp 34–96 (in Russian)
Sizova RN (1969) Some regularities of non-stabilized creep and their influence on a stress state. Thermal strength of materials and construction elements. Naukova Dumka, Kiev, pp 35–41 (in Russian)
Temis YM (1980) Method of successive approximations with error correction in geometrically nonlinear elastic problems (in Russia). In: Proceeding of applied problems of strength and plasticity. Algoriphmic solution procedures in elasticity and plasticity problems. Izd. Gor’kovskogo Gos. Universiteta. Go’kiy, V.16:3–10
Temis YM (2005) Plasticity and creep modeling of turbo engines constructive materials. In: Proceedings of 49th international conference AAI, Part 2, MAMI, Moscow, pp 25–76 (in Russian)
Zienkiewicz OC (1967) The finite element method in structural and continuum mechanics. McGraw-Hill, London
Zienkiewicz OC, Taylor RL (2000) The finite element method, 5th edn. Butterworth-Heinemann, Oxford
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Shorr, B.F. (2015). Creep and Durability at Non-stationary Loading and Heating. In: Thermal Integrity in Mechanics and Engineering. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-46968-2_8
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