Steady thermal stresses in solid disk under heat generation subjected to variable density

Thakur Pankaj,Bir Satya,Singh Joginder,Suresh Kumar

doi:10.5937/kgjsci1638005p

Abstract

Seth's transition theory is applied to the problem of stresses in a solid rotating disk under heat generation subjected to variable density by infinitesimal deformation. Neither the yield criterion nor the associated flow rule is assumed here. The results obtained here are applicable to compressible materials. If the additional condition of incompressibility is imposed, then the expression for stresses corresponds to those arising from Tresca yield condition. It has been seen that circumferential stress are maximum at the outer surface for incompressible material as compare to disk made compressible materials. Density variation parameter increases the value of circumferential as well as radial stress at the outer surface of solid disk for compressible and incompressible materials. The present solution is illustrated by numerical results and is compared with heat generation case.

Highlights

Rotating disks have a wide range of application in engineering, such as steam and gas turbine, turbo generator, flywheel of internal combustion engines, turbojet engines, reciprocating engines, centrifugal Compressors, brake disk and shrink fit
The analytical elasticity-plasticity of such rotating disks of isotropic materials can be found in many books (TIMOSHENKO et al, 1970, JOHNSON et al, 1978), and the stress analysis in curvilinear orthotropic disks can found in (LEKHNITSKII et al, 1981) The theoretical and experimental investigations on the rotating solid disk have been widespread attention due to the great practical importance in mechanical engineering
GUVEN (2000) analyzed elastic-plastic solid disk with non-uniform heat source subjected to external pressure

Summary

INTRODUCTION

Rotating disks have a wide range of application in engineering, such as steam and gas turbine, turbo generator, flywheel of internal combustion engines, turbojet engines, reciprocating engines, centrifugal Compressors, brake disk and shrink fit. The solution of a rotating solid disk with constant thickness is obtained by (GAMER, 1984, 1985) taking into account the linear strain hardening material behavior. The effect of temperature on the transverse vibration of a rotating disk of variable thickness was investigated by (GHOSH, 1975) considering a uniform heat source. YOU et al (1999) analyzed Elastic-plastic stresses in a rotating solid disk. GUVEN (2000) analyzed elastic-plastic solid disk with non-uniform heat source subjected to external pressure. THAKUR et al (2015) investigated Infinitesimal deformation in a solid Disk by using Seth’s transition theory. THAKUR et al (2015) studied elastic-plastic infinitesimal deformation in a solid disk under heat effect by using Seth’s theory. THAKUR et al (2015) investigated thermo elastic-plastic deformation in a solid disk with heat generation subjected to pressure

METHODOLOGY

RESULTS AND DISCUSSION

CONCLUSION

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