Thermal Creep Analysis of Functionally Graded Thick-Walled Cylinder Subjected to Torsion and Internal and External Pressure
محورهای موضوعی : Engineering
S Sharma
1
(Department of Mathematics, Jaypee Institute of Information Technology, Noida, India)
S Yadav
2
(Department of Mathematics, Jaypee Institute of Information Technology, Noida, India)
R Sharma
3
(Department of Mathematics, School of Basic Sciences and Research Sharde University , Greater Noida, India)
کلید واژه: Torsion, Thermal, Functionally graded material, Creep, Strain measure,
چکیده مقاله :
Safety analysis has been done for the torsion of a functionally graded thick-walled circular cylinder under internal and external pressure subjected to thermal loading. In order to determine stresses the concept of Seth’s transition theory based on generalized principal strain measure has been used. This theory simplifies the set of mechanical equations by mentioning the order of the measure of deformation. This theory helps to achieve better agreement between the theoretical and experimental results. Results have been analyzed with or without thermal effects for functionally graded and homogeneous cylinder with linear and nonlinear strain measure.From the analysis, it has been concluded that in creep torsion cylinder made up of less functionally graded material (FGM) under pressure is better choice for designing point of view as compared to homogeneous cylinder. This is due to shear stresses which are maximum for cylinder made up of functionally graded material as compared to homogeneous material.
[1] Horgan C.O., Chan A.M., 1998, Torsion of functionally graded isotropic linearly elastic bars, Journal of Elasticity 52(2): 181-199.
[2] Pindera M.J., Aboudi J., Arnold S.M., Jones W.F., 1995, Use of Composites in Multi-Phased and Functionally Graded Materials, Langford Lane, Kidlington, Oxford, England OX5 1GB.
[3] Udupa G., Rao S.S., Gangadharan K.V., 2014, Functionally graded composite materials: An overview, Procedia Materials Science 5: 1291-1299.
[4] Sokolnikoff I.S., 1956, Mathematical Theory of Elasticity, Mcgraw-Hill, New York.
[5] Chakrabarty J., 2006, Theory of Plasticity, Elsevier Butterworth-Heinemann, San Diego.
[6] Seth B., 1962, Transition theory of elastic-plastic deformation, creep and relaxation, Nature 195: 896-897.
[7] Seth B.R., 1961, Generalized Strain Measure with Applications to Physical Problems, DTIC Document.
[8] Seth B.R., 1966, Measure concept in mechanics, International Journal of Non-Linear Mechanics 1(1): 35-40.
[9] Seth B.R., 1964, Elastic‐plastic transition in torsion, ZAMM 44(6): 229-233.
[10] Gupta S.K., Dharmani R.L., Rana V.D., 1978, Creep transition in torsion, International Journal of Non-Linear Mechanics 13(5): 303-309.
[11] Gupta S., Rana V., 1980, Torsion of a transversely isotropic cylinder in the theory of creep, ZAMM 60(11): 549-555.
[12] Lekhnitskij S.G., 1981, Theory of the Elasticity of Anisotropic Body, Mir Publishers, Moscow.
[13] Rooney F.J., Ferrari M., 1995, Torsion and flexure of inhomogeneous elements, Composites Engineering 5(7): 901-911.
[14] Ting T.C.T., 1996, Pressuring, shearing, torsion and extension of a circular tube or bar of cylindrically anisotropic material, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, The Royal Society.
[15] Ting T.C.T., 1999, New solutions to pressuring, shearing, torsion and extension of a cylindrically anisotropic elastic circular tube or bar, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences, The Royal Society.
[16] Chen T. , Chung C.T., Lin W.L., 2000, A revisit of a cylindrically anisotropic tube subjected to pressuring, shearing, torsion, extension and a uniform temperature change, International Journal of Solids and Structures 37(37): 5143-5159.
[17] Tarn J.Q., 2002, Exact solutions of a piezoelectric circular tube or bar under extension, torsion, pressuring, shearing, uniform electric loading and temperature change, Proceedings of the Royal Society of London A: Mathematical, Physical and Engineering Sciences,The Royal Society.
[18] Batra R.C., 2006, Torsion of a functionally graded cylinder, AIAA Journal 44(6): 1363-1365.
[19] Uscilowska A., 2010, Implementation of the method of fundamental solutions and homotopy analysis method for solving a torsion problem of a rod made of functionally graded material, Advanced Materials Research 123-125: 551-554.
[20] Bayata Y., Alizadehb M., Bayatc A., 2013, Generalized solution of functionally graded hollow cylinder under torsional load, Journal of Computational & Applied Research in Mechanical Engineering 2(2): 23-32.
[21] Sharma R., Aggarwal A.K., Sharma S., 2014, Collapse pressure analysis in torsion of a functionally graded thick-walled circular cylinder under external pressure, Procedia Engineering 86: 738-747.
[22] McKeen L.W., 2008, Effect of Temperature and Other Factors on Plastics and Elastomers, William Andrew.
