Elastic Stress Analysis of Annular Bi-Material Discs with Variable Thickness under Mechanical and Thermomechanical Loads
The closed form study deals with elastic stress analysis of annular bi-material discs with variable thickness subjected to the mechanical and thermomechanical loads. Those discs have many applications in the aerospace industry, such as gas turbines and gears. Those discs normally work under thermal and mechanical loads. Their life cycle can increase when stress components are minimized. Each material property is assumed to be isotropic. The results show that material combinations and thickness of profiles play an important role in determining the responses of bi-material discs and an optimal design of those structures. Stress distribution is investigated and results are shown as graphs.
[1] M. Bayat, M. Saleem, B. B. Sahari., A. M. S. Hamouda, E. Mahdi, "Analysis of functionally graded rotating discs with variable thickness”, Mechanics Research Communications, vol.35, pp. 283–309, 2008.
[2] A. Kurşun, M. Topçu, "Thermal Stress Analysis of Functionally Graded Disc with Variable Thickness Due to Linearly Increasing Temperature Load”, Arabian Journal for Science &Engineering, vol. 38, pp. 3531-3549, 2013.
[3] Y.J. Liu , H.M. Yin "Elastic thermal stresses in a hollow circular overlay/substrate system”, Mechanics Research Communications, vol. 55, pp. 10–17, 2014.
[4] L. Stefan, P. Legar, "Elastic sectional stress analysis of variable section piers subjected to three-dimensional loads”, Computers& Structures, vol.90–91, pp. 28–41. 2012,
[5] N. H. Zhang, J. Z. Chen, "An alternative model for elastic thermal stresses in two materials joined by a graded layer”, Composites Part B: Engineering, vol. 41, pp. 375–379, 2010.
[6] G.J. Nie, R.C. Batra, "Stress analysis and material tailoring in isotropic linear thermoelastic incompressible functionally graded rotating disks of variable thickness”, Composite Structures, vol. 92, pp. 720–729, 2010.
[7] C.L. Tan, Y.C. Shiah, C.Y. Wang, "Boundary element elastic stress analysis of 3D generally anisotropic solids using fundamental solutions based on Fourier series”, International Journal of Solids and Structures, vol. 50, pp. 2701–2711, 2013.
[8] M. Serati, H. Alehossein, D. J. Williamsa, "Elastic stress analysis of partially loaded hollow discs”, International Journal of Engineering Science, vol. 53, pp. 19–37, 2012.
[9] S. P. Hong, J.H. An, Y.J. Kim, K. Nikbin, P. J. Budden, "Approximate elastic stress estimates for elbows under internal pressure”, International Journal of Mechanical Sciences, vol. 53, pp. 526–535, 2011.
[10] J. H. An, S. P. Hong, Y.J. Kim, P. J. Budden, "Elastic stresses for 90° elbows under in-plane bending”, International Journal of Mechanical Sciences, vol. 53, pp. 762–776, 2011.
[11] J. L. Ruan, Y. Pei, D. Fang, "On the elastic and creep stress analysis modeling in the oxide scale/metal substrate system due to oxidation growth strain”, Corrosion Science, vol. 66, pp. 315–323, 2013.
[12] N. Hasebe, M. Sato, "Stress analysis of quasi-orthotropic elastic plane”, International Journal of Solids and Structures, vol. 50, pp. 209–216, 2013.
[13] S. P. Timoshenko, J. N. Goodier, Theory of Elasticity. New York: McGraw-Hill, 1970, ch. 4.
[14] W. R. Leopold, "Centrifugal and thermal stresses in rotating discs”, ASME J ApplMech, vol. 18 pp. 322–236, 1984.
[15] H. Çallıoğlu, "Stress Analysis of an Orthotropic Rotating Disc under Thermal Loading”, J. Reinforced Plastics and Composites, vol. 23, pp. 1857–1869, 2004.
[16] P. Stanley, C. Garroch, "A Thermoelastic Disc Test for the Mechanical Characterization of Fibre-Reinforced Moulded Composites: Theory”, Composites Science & Technology, vol. 59 pp.371–378, 1999.
[17] H. Çallıoğlu, M. Topçu, G. Altan, "Stress Analysis of Curvilinearly Orthotropic Rotating Disc”, Journal of Reinforced Plastics Composite, vol. 24, pp. 831-838, 2005.
[18] Jahed, H., Sherkatti, S., "Thermo elastic analysis of inhomogeneous rotating disc with variable thickness”, in Proc. of the EMAS Conference of Fatigue, Cambridge, England, 2000.
[19] O. Sayman, "Thermal Stresses in a Thermoplastic Composite Disc under a Steady State Temperature Distribution”, Journal of Reinforced Plastics and Composites, vol. 25, pp.1709-17220, 2006.
[20] H. Çallıoğlu, M. Topçu, A. R. Tarakçılar, "Elastic-Plastic Stress Analysis of an Ortotropic Rotating Disc”, International Journal of Mechanical Sciences, vol. 48, pp. 985-990, 2006.
[21] M. Bayat, M. Saleem, B. B. Sahari, A. M. S. Hamouda, E. Mahdi, "Mechanical and thermal stresses in a functionally graded rotating disc with variable thickness due to radially symmetry loads”. Int. J. Pres. Ves. Pip.vol. 86, pp. 357–372, 2009.
[22] H. Çallıoğlu, M. Topçu, G. Altan, "Stress Analysis of Curvilinearly Orthotropic Rotating Discs”, Journal of Reinforced Plastics Composite vol. 24, pp. 831-838, 2005.
[1] M. Bayat, M. Saleem, B. B. Sahari., A. M. S. Hamouda, E. Mahdi, "Analysis of functionally graded rotating discs with variable thickness”, Mechanics Research Communications, vol.35, pp. 283–309, 2008.
[2] A. Kurşun, M. Topçu, "Thermal Stress Analysis of Functionally Graded Disc with Variable Thickness Due to Linearly Increasing Temperature Load”, Arabian Journal for Science &Engineering, vol. 38, pp. 3531-3549, 2013.
[3] Y.J. Liu , H.M. Yin "Elastic thermal stresses in a hollow circular overlay/substrate system”, Mechanics Research Communications, vol. 55, pp. 10–17, 2014.
[4] L. Stefan, P. Legar, "Elastic sectional stress analysis of variable section piers subjected to three-dimensional loads”, Computers& Structures, vol.90–91, pp. 28–41. 2012,
[5] N. H. Zhang, J. Z. Chen, "An alternative model for elastic thermal stresses in two materials joined by a graded layer”, Composites Part B: Engineering, vol. 41, pp. 375–379, 2010.
[6] G.J. Nie, R.C. Batra, "Stress analysis and material tailoring in isotropic linear thermoelastic incompressible functionally graded rotating disks of variable thickness”, Composite Structures, vol. 92, pp. 720–729, 2010.
[7] C.L. Tan, Y.C. Shiah, C.Y. Wang, "Boundary element elastic stress analysis of 3D generally anisotropic solids using fundamental solutions based on Fourier series”, International Journal of Solids and Structures, vol. 50, pp. 2701–2711, 2013.
[8] M. Serati, H. Alehossein, D. J. Williamsa, "Elastic stress analysis of partially loaded hollow discs”, International Journal of Engineering Science, vol. 53, pp. 19–37, 2012.
[9] S. P. Hong, J.H. An, Y.J. Kim, K. Nikbin, P. J. Budden, "Approximate elastic stress estimates for elbows under internal pressure”, International Journal of Mechanical Sciences, vol. 53, pp. 526–535, 2011.
[10] J. H. An, S. P. Hong, Y.J. Kim, P. J. Budden, "Elastic stresses for 90° elbows under in-plane bending”, International Journal of Mechanical Sciences, vol. 53, pp. 762–776, 2011.
[11] J. L. Ruan, Y. Pei, D. Fang, "On the elastic and creep stress analysis modeling in the oxide scale/metal substrate system due to oxidation growth strain”, Corrosion Science, vol. 66, pp. 315–323, 2013.
[12] N. Hasebe, M. Sato, "Stress analysis of quasi-orthotropic elastic plane”, International Journal of Solids and Structures, vol. 50, pp. 209–216, 2013.
[13] S. P. Timoshenko, J. N. Goodier, Theory of Elasticity. New York: McGraw-Hill, 1970, ch. 4.
[14] W. R. Leopold, "Centrifugal and thermal stresses in rotating discs”, ASME J ApplMech, vol. 18 pp. 322–236, 1984.
[15] H. Çallıoğlu, "Stress Analysis of an Orthotropic Rotating Disc under Thermal Loading”, J. Reinforced Plastics and Composites, vol. 23, pp. 1857–1869, 2004.
[16] P. Stanley, C. Garroch, "A Thermoelastic Disc Test for the Mechanical Characterization of Fibre-Reinforced Moulded Composites: Theory”, Composites Science & Technology, vol. 59 pp.371–378, 1999.
[17] H. Çallıoğlu, M. Topçu, G. Altan, "Stress Analysis of Curvilinearly Orthotropic Rotating Disc”, Journal of Reinforced Plastics Composite, vol. 24, pp. 831-838, 2005.
[18] Jahed, H., Sherkatti, S., "Thermo elastic analysis of inhomogeneous rotating disc with variable thickness”, in Proc. of the EMAS Conference of Fatigue, Cambridge, England, 2000.
[19] O. Sayman, "Thermal Stresses in a Thermoplastic Composite Disc under a Steady State Temperature Distribution”, Journal of Reinforced Plastics and Composites, vol. 25, pp.1709-17220, 2006.
[20] H. Çallıoğlu, M. Topçu, A. R. Tarakçılar, "Elastic-Plastic Stress Analysis of an Ortotropic Rotating Disc”, International Journal of Mechanical Sciences, vol. 48, pp. 985-990, 2006.
[21] M. Bayat, M. Saleem, B. B. Sahari, A. M. S. Hamouda, E. Mahdi, "Mechanical and thermal stresses in a functionally graded rotating disc with variable thickness due to radially symmetry loads”. Int. J. Pres. Ves. Pip.vol. 86, pp. 357–372, 2009.
[22] H. Çallıoğlu, M. Topçu, G. Altan, "Stress Analysis of Curvilinearly Orthotropic Rotating Discs”, Journal of Reinforced Plastics Composite vol. 24, pp. 831-838, 2005.
@article{"International Journal of Mechanical, Industrial and Aerospace Sciences:66435", author = "E. Çetin and A. Kurşun and Ş. Aksoy and M. Tunay Çetin", title = "Elastic Stress Analysis of Annular Bi-Material Discs with Variable Thickness under Mechanical and Thermomechanical Loads", abstract = "The closed form study deals with elastic stress analysis of annular bi-material discs with variable thickness subjected to the mechanical and thermomechanical loads. Those discs have many applications in the aerospace industry, such as gas turbines and gears. Those discs normally work under thermal and mechanical loads. Their life cycle can increase when stress components are minimized. Each material property is assumed to be isotropic. The results show that material combinations and thickness of profiles play an important role in determining the responses of bi-material discs and an optimal design of those structures. Stress distribution is investigated and results are shown as graphs.
", keywords = "Bi-material discs, elastic stress analysis, mechanical loads, rotating discs.", volume = "8", number = "2", pages = "288-5", }
