Semi-analytical Solution for Time-dependent Creep Analysis of Rotating Cylinders Made of Anisotropic Exponentially Graded Material (EGM)

الموضوعات :

A Loghman ¹ , V Atabakhshian ²

1 - Faculty of Mechanical Engineering, University of Kashan
2 - Department of Mechanical Engineering, Faculity of Engineering, Bu-Ali Sina University

تاريخ الإرسال : 09 الإثنين , شوال, 1433 تاريخ التأكيد : 19 الجمعة , ذو القعدة, 1433 تاريخ الإصدار : 14 الأحد , ذو القعدة, 1433

الکلمات المفتاحية: EGM Rotating cylinder, Bailey-Norton creep law, History of stresses,

ملخص المقالة :

In the present paper, time dependent creep behavior of hollow circular rotating cylinders made of exponentially graded material (EGM) is investigated. Loading is composed of an internal pressure, a distributed temperature field due to steady state heat conduction with convective boundary condition and a centrifugal body force. All the material properties are assumed to be exponentially graded along radius. A semi analytical solution followed by the method of successive approximation has been developed to obtain history of stresses and deformations during creep evolution of the EGM rotating cylinder. The material creep constitutive model is defined by the Bailey-Norton time-dependent creep law. A comprehensive comparison has been made between creep response of homogenous and non-homogenous cylinder. It has been found that the material in-homogeneity exponent has a significant effect on creep response of the EGM cylinder. It has been concluded that using exponentially graded material significantly decreases creep strains, stresses and deformations of the EGM rotating cylinder.

المصادر:

[1] Nie G.J., Batra R.C., 2010, Material tailoring and analysis of functionally graded isotropic and incompressible linear elastic hollow cylinders, Composite Structures 92 : 265–274.

[2] Bayat M., Sahari B.B., Saleem M., Ali A., Wong S.V., 2009, Bending analysis of a functionally graded rotating disk based on the first order shear deformation theory, Applied Mathematical Modelling 33 : 4215–4230.

[3] Ghorbanpour Arani A., Loghman A., Abdollahitaher A., Atabakhshian V., 2011, Electrothermomechanical behaviour of a radially polarized functionally graded piezoelectric cylinder, Journal of Mechanics of Materials and Structures 6 (6): 869–882.

[4] You L.H., Zhang J.J., You X.Y., 2005, Elastic analysis of internally pressurized thick-walled spherical pressure vessel of functionally graded materials, International Journal ofPressure Vessels and Piping 82: 347–354.

[5] Fukui Y., Yamanaka N., 1992, Elastic analysis for thick-walled tubes of functionally graded material subjected to internal pressure, JSME International Journal Series I 35: 379-385.

[6] Loghman A., Wahab M.A., 1996, Creep damage simulation of thick-walled tubes using the theta projection concept, International Journal ofPressure Vessels and Piping 67: 105-111.

[7] Evans R.W., Parker J.D., Wilsher B., 1992, The theta projection concept a model based approach to design and life extention of engineering plant, International Journal ofPressure Vessels and Piping 50: 60-147.

[8] Loghman A., Shokouhi N., 2009, Creep damage evaluation of thick-walled spheres using a long-term creep constitutive model, JournalofMechanical ScienceandTechnology 23: 2577-2582.

[9] Aleayoub S.M.A., Loghman A., 2010, Creep stress redistribution Analysis of thick-walled FGM spheres, Journal of solid Mechanics 2 (2) :115-128.

[10] Chen J.J., Tu S.T., Xuan F.Z., Wang Z.D., 2007, Creep analysis for a functionally graded cylinder subjected to internal and external pressure, The Journal of Strain Analysis Engineering Design 42: 69-77.

[11] You L.H., Ou H., Zheng Z.Y., 2007, Creep deformations and stresses in thick-walled cylindrical vessels of functionally graded materials subject to internal pressure, Composite Structures 78:285-291.

[12] Singh T., Gupta V.K., 2011, Effect of anisotropy on steady state creep in functionally graded cylinder, Composite Structures 93:747-758.

[13] Yang Y.Y., 2000, Time-dependent stress analysis in functionally graded material, International Journal of Solids and Structures 37:7593-7608.

[14] Xuan F.Z., Chen J.J., Wang Z., Tu S.T., 2009, Time-dependent deformation and fracture of multi-material systems at high temperature, International Journal ofPressure Vessels and Piping 86: 604-615.

[15] Loghman A., Ghorbanpour Arani A., Amir S., Vajedi A., 2010, Magnetothermoelastic creep analysis of functionally graded cylinders, International Journal ofPressure Vessels and Piping 87:389-395.

[16] Loghman A., Aleayoub S.A.M., Hasani Sadi M., 2012, Time-dependent magnetothermoelastic creep Modeling of FGM spheres using method of successive elastic solution, Applied Mathematical Modelling 36: 836-845.

[17] Loghman A., Ghorbanpour Arani A., Aleayoub S.A.M., 2011, Time-dependent creep stress redistribution analysis of functionally graded spheres, Mechanics Time-Dependent Materials 15: 353-365.

[18] Loghman A., Ghorbanpour Arani A., Shajari A.R., Amir S., 2011, Time-dependent thermoelastic creep analysis of rotating disk made of Al–SiC composite, Archive of Applied Mechanics 81:1853-1864.

[19] Hosseini SM., Akhlaghi M., Shakeri M., 2007, Transient heat conduction in functionally graded thick hollow cylinders by analytical method, International Journal of Heat and Mass Transfer 43: 669-675.

[20] Abramowitz M., Stegun I., 1965, Handbook of Mathematical Functions, New York: Dover Publications Inc.

[21] Hosseini Kordkheili S.A., Naghdabadi R., 2007, Thermo-elastic analysis of a functionally graded rotating disk, Composite Structures 79: 508-516.

[22] Penny RK., Marriott DL., 1995, Design for creep, London, Chapman & Hall.