Abstract
The history of stresses and creep strains of a rotating composite cylinder made of an aluminum matrix reinforced by silicon carbide particles is investigated. The effect of uniformly distributed SiC micro- and nanoparticles on the initial thermo-elastic and time-dependent creep deformation is studied. The material creep behavior is described by Sherby’s constitutive model where the creep parameters are functions of temperature and the particle sizes vary from 50 nm to 45.9 μm. Loading is composed of a temperature field due to outward steady-state heat conduction and an inertia body force due to cylinder rotation. Based on the equilibrium equation and also stress-strain and strain-displacement relations, a constitutive second-order differential equation for displacements with variable and time-dependent coefficients is obtained. By solving this differential equation together with the Prandtl–Reuss relation and the material creep constitutive model, the history of stresses and creep strains is obtained. It is found that the minimum effective stresses are reached in a material reinforced by uniformly distributed SiC particles with the volume fraction of 20% and particle size of 50 nm. It is also found that the effective and tangential stresses increase with time at the inner surface of the composite cylinder; however, their variation at the outer surface is insignificant.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
A. Loghman and M. A. Wahab, “Creep Damage Simulation of Thick-Walled Tubes using the Theta Projection Concept,” Int. J. Pressure Vessel Piping 67, 105–111 (1996).
Y. Y. Yang, “Time-Dependent Stress Analysis in Functionally Graded Material,” Int. J. Solids Struct. 37, 7593–7608 (2000).
M. Z. Nejad and M. D. Kashkoli, “Time-Dependent Thermo-Creep Analysis of Rotating FGM Thick-Walled Cylindrical Pressure Vessels under Heat Flux,” Int. J. Eng. Sci. 82, 222–237 (2014).
A. Loghman and N. Shokouhi, “Creep Damage Evaluation of Thick-Walled Spheres using a Long-Term Creep Constitutive Model,” J. Mech. Sci. Tech. 23, 2577–2582 (2009).
S. B. Singh and S. Ray, “Creep Analysis in an Isotropic FGM Rotating Disk of Al–SiC Composite,” J. Materials Process. Technol. 143/144, 616–622 (2003).
L. H. You, H. Ou, and Z. Y. Zheng, “Creep Deformation and Stresses in Thick-Walled Cylindrical Vessels of Functionally Graded Materials Subjected to Internal Pressure,” Composite Structures 78, 285–291 (2007).
V. K. Gupta, S. B. Singh, H. N. Chandrawat, and S. Ray, “Modeling of Creep Behavior of a Rotation Disk in the Presence of Both Composition and Thermal Gradients,” Trans. ASME, J. Eng. Mater. 127, 97–105 (2005).
V. K. Gupta, S. B. Singh, H. N. Chandrawat, and S. Ray, “Steady State Creep and Material Parameters in a Rotating Disk of Al–SiC Composite,” Eur. J. Mech. A. Solids 23, 335–344 (2004).
O. D. Sherby, R. H. Klundt, and A. K. Miller, “Flow Stress, Subgrain Size and Subgrain Stability at Elevated Temperatures,” Metall. Trans. A8, 843–850 (1977).
A. V. Shutov, H. Altenbach, and K. Naumenko, “Steady-State Creep Analysis of Pressurized Pipe Weldments by Perturbation Method,” Int. J. Solids Struct. 43 (22/23), 6908–6920 (2006).
A. Loghman, A. Ghorbanpour Arani, A. R. Shajari, and S. Amir, “Time-Dependent Thermoelastic Creep Analysis of Rotating Disk Made of Al–SiC Composite,” Arch. Appl. Mech. 81, 1853–1864 (2011).
A. B. Pandey, R. S. Mishra, and Y. R. Mahajan, “Steady State Creep Behavior of Silicon Carbide Particulate Reinforced Aluminum Composites,” Acta Metallurg. Materialia 40 (8), 2045–2052 (1992).
A. Loghman, A. Askari Kashan, M. Younesi Bidgoli, et al., “Effect of Particle Content, Size and Temperature on Magneto-Thermo-Mechanical Creep Behavior of Composite Cylinders,” J. Mech. Sci. Tech. 27 (4), 1041–1051 (2013).
K. Sachan, “Material Parameters and Creep in a Rotating Composite Cylinder,” Master Thesis (Dimmed Univ. Patiala, Punjab, 2006).
S. A. Hosseini Kordkheili, and R. Naghdabadi, “Thermoelastic Analysis of a Functionally Graded Rotating Disk,” Composite Structures 79, 508–516 (2007).
V. Daghigh, H. Daghigh, A. Loghman, and A. Simoneau, “Time Dependent Creep Analysis of Rotating Ferritic Steel Disk Using Taylor Series and Prandtl–Reuss Relation,” Int. J. Mech. Sci. 77, 40–46 (2013).
A. Loghman and M. Moradi, “The Analysis of Time-Dependent Creep in FGPM Thick-Walled Sphere under Electro-Magneto-Thermo-Mechanical Loadings,” Mech. Time-Dependent Mater. 17, 315–329 (2013).
Author information
Authors and Affiliations
Corresponding author
Additional information
Original Russian Text © A. Loghman, M. Hammami, E. Loghman.
Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 58, No. 3, pp. 77–89, May–June, 2017.
Rights and permissions
About this article
Cite this article
Loghman, A., Hammami, M. & Loghman, E. Effect of the silicon-carbide micro- and nanoparticle size on the thermo-elastic and time-dependent creep response of a rotating Al–SiC composite cylinder. J Appl Mech Tech Phy 58, 443–453 (2017). https://doi.org/10.1134/S0021894417030099
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021894417030099