An analytic study of planar beams and arches subjected to significant thermal cycling from ambient temperatures up to 800°C is presented. The study employs a recently unified nonlinear hereditary type of viscoelastoplastic constitutive law to characterize the time- and temperature-dependent properties of Hastelloy X, a typical aerospace alloy. The results demonstrate a strong interaction between the backstress variable of the constitutive law and the time-dependent stress distribution produced by the deformation. This interaction tends to control, in a highly nonlinear manner, the creep ratchetting response of the beam or arch. Moreover, temperature gradients in the thickness direction tend to exert an important influence during thermal cycling.
Creep Analysis of Beams and Arches Based on a Hereditary Visco-Elastic-Plastic Constitutive Law
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Stubstad, J. M., and Simitses, G. J. (April 1, 1990). "Creep Analysis of Beams and Arches Based on a Hereditary Visco-Elastic-Plastic Constitutive Law." ASME. J. Eng. Mater. Technol. April 1990; 112(2): 210–217. https://doi.org/10.1115/1.2903309
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