Abstract
The aim of this chapter is to examine further the detailed behavior of simple structures with fractional creep laws. The relaxation of stresses for common and fractional Norton-Bailey constitutive models was studied for basic elements in torsion and bending. The unified formula for several regions of creep law is studied. The new expression is based on the experimental data and merges the primary, secondary and tertiary regions of creep curve in a single time-dependent formula.
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References
Andrade, E.N.d.C.: On the viscous flow in metals and allied phenomena. Proc. R. Soc. Lond. A. 84, 1 (1910)
Andrade, E.N.d.C.: The flow of materials under large constant stress. Proc. R. Soc. Lond. A. 90, 329 (1914)
Betten, J.: Creep Mechanics, 3rd edn. Springer, Berlin (2008)
Cadek, J.: Creep in Metallic Materials, Materials Science Monographs, vol. 48. Elsevier, Amsterdam (1988)
Es-Souni, M.: Primary, secondary and anelastic creep of a high temperature near a-Ti alloy Ti6242Si. Mater. Charact. 45, 153–164 (2000)
Evans, H.E.: Mechanisms of Creep Fracture. Elsevier Applied Science Publishing, Amsterdam (1984)
Garofalo, F.: Fundamentals of Creep and Creep-Rupture in Metals, Series in Materials Science. McMillan, New York (1965)
Honeykomb, R.W.K.: The Plastic Deformation of Metals. Edward Arnold, Cambridge (1968)
Kennedy, A.J.: Processes of Creep and Fatigue in Metals. Oliver & Boyd, Edinburgh (1967)
Kobelev, V.: Some basic solutions for nonlinear creep. Int. J. Solids Struct. 51, 3372–3381 (2014)
Kobelev, V.: Addendum to “Relaxation and creep in twist and flexure”. Multidiscip. Model. Mater. Struct. 12(3), 473–477 (2016)
Mainardi, F., Gorenflo, R.: Time-fractional derivatives in relaxation processes: a tutorial survey. Fract. Calculus Appl. Anal. 10, 269–308 (2007.) http://arxiv.org/abs/0801.4914
Mainardi, F., Spada, G.: Creep, relaxation and viscosity properties for basic fractional models in rheology. Eur. Phys. J. 193, 133–160 (2011)
McLean, D.: The physics of high temperature creep in metals. Rep. Prog. Phys. 29, 1 (1966)
Nabarro, F.R.N., de Villers, H.L.: The Physics of Creep, pp. 15–78. Taylor & Francis, London (1995)
Naumenko, K., Altenbach, H., Gorash, Y.: Creep analysis with a stress range dependent constitutive model. Arch. Appl. Mech. 79, 619–630 (2009)
Nezhad, H.Y., O’Dowd, N.P.: Study of creep relaxation under combined mechanical and residual stresses. Eng. Fract. Mech. 93, 132–152 (2012)
Nezhad, H.Y., O’Dowd, N.P.: Creep relaxation in the presence of residual stress. Eng. Fract. Mech. 138, 250–264 (2015)
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Kobelev, V. (2018). Generalizations of Creep Laws for Spring Materials. In: Durability of Springs. Springer, Cham. https://doi.org/10.1007/978-3-319-58478-2_7
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DOI: https://doi.org/10.1007/978-3-319-58478-2_7
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