Thakur, Pankaj; Sethi, Monika Creep deformation and stress analysis in a transversely material disk subjected to rigid shaft. (English) Zbl 1446.74159 Math. Mech. Solids 25, No. 1, 17-25 (2020). Summary: The purpose of this paper is to present a study of creep deformation and stress analysis in a transversely material disk subjected to the rigid shaft by using Seth’s transition theory. It has been observed that radial stress has the maximum value at the inner surface of the rotating disk made of isotropic material as compared to the hoop stress and this value of radial stress further increases with the increase in the value of angular speed. Strain rates have maximum values at the inner surface for the disk made of transversely material. Cited in 3 Documents MSC: 74K20 Plates 74B99 Elastic materials 74C99 Plastic materials, materials of stress-rate and internal-variable type Keywords:creep; disk; shaft; transverse material; stress; magnesium; beryl; brass PDFBibTeX XMLCite \textit{P. Thakur} and \textit{M. Sethi}, Math. Mech. Solids 25, No. 1, 17--25 (2020; Zbl 1446.74159) Full Text: DOI References: [1] 1. Kirkner, DJ Vibration of a rigid disc on a transversely isotropic elastic half space. Int J Numer Anal Methods Geomech 1982; 6: 293-306. · Zbl 0489.73062 [2] 2. Arnold, SM . A thermoelastic transversely isotropic thick walled cylinder/disk application: an analytical solution and study. NASA technical report TM-102320, 1989. Cleveland, OH: NASA Lewis Research Center. [3] 3. Wu, S, Liang, J, Hu, Y. Stress in transversely isotropic half-space with typical loads acting on its surface. Appl Math Mech 2000; 21: 901-908. · Zbl 0984.74013 [4] 4. Chen, J, Ding, H, Chen, W. Three-dimensional analytical solution for a rotating disc of functionally graded materials with transverse isotropy. Arch Appl Mech 2007; 77: 241-251. · Zbl 1161.74427 [5] 5. Wahl, AM . Analysis of creep in rotating discs based on Tresca criterion and associated flow rule. J Appl Mech 1956; 23: 103-106. [6] 6. Seth, BR . Transition theory of elastic-plastic deformation, creep and relaxation. Nature 1962; 195: 896-897. [7] 7. Seth, BR . Measure concept in mechanics. Int J Non-linear Mech 1966; 1: 35-40. [8] 8. Gupta, SK, Dharmani, RL. Creep transition in thick walled cylinder under internal pressure. ZAMM 1979; 59: 517-521. · Zbl 0432.73029 [9] 9. Gupta, SK, Pankaj. Thermo-elastic-plastic transition in a thin rotating disc with inclusion. Therm Sci 2007; 11: 103-118. [10] 10. Thakur, P, Singh, SB, Kaur, J. Thermal creep stresses and strain rates in a circular disc with shaft having variable density. Eng Comput 2016; 33: 698-712. [11] 11. Thakur, P, Gupta, N, Singh, SB. Creep strain rates analysis in cylinder under temperature gradient materials by using Seth’s theory. Eng Comput 2017; 34: 1020-1030. [12] 12. Thakur, P, Singh, SB, Pathania, DS, et al. Thermal creep stress and strain analysis in non-homogeneous spherical shell. J Theor Appl Mech 2017; 55: 1155-1165. [13] 13. Thakur, P, Sethi, M. Creep damage modelling in a transversely isotropic rotating disc with load and density parameter. Struct Integrity Life 2018; 18: 207-214. [14] 14. Sokolinikoff, IS . Mathematical theory of elasticity. 2nd ed. New York: McGraw-Hill Book Co., 1956. [15] 15. Odqvist, FRN . Mathematical theory of creep and creep rupture. Oxford: Clarendon Press, 1974. [16] 16. Ding, H, Chen, W, Zhang, L. Elasticity of transversely isotropic materials. Vol. 126. Berlin: Springer, 2006, p.22. · Zbl 1101.74001 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.