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Thermo Elastic-Plastic Transition in a Thin Rotating Non –Homogeneous Disc of Variable Thickness and Variable Density


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1 Department of Mathematics, Govt. College, Jhandutta, Bilaspur, H.P., 174031, India
     

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Elastic-plastic stresses in a thin rotating non-homogeneous disc of variable thickness and variable density under steady state temperature have been obtained, using Seth's transition theory. Non- homogeneity in the disc is considered due to radial variation of modulus of rigidity. Thickness and density are assumed to vary radially. As a numerical example, it has been seen that a disc having more non -homogeneity at the bore (t>0) whose thickness and density decrease radially (k>0&amp;n<o) may be beneficial from a design point of view in the presence of small temperature gradient.
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  • Thermo Elastic-Plastic Transition in a Thin Rotating Non –Homogeneous Disc of Variable Thickness and Variable Density

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Authors

R. K. Shukla
Department of Mathematics, Govt. College, Jhandutta, Bilaspur, H.P., 174031, India

Abstract


Elastic-plastic stresses in a thin rotating non-homogeneous disc of variable thickness and variable density under steady state temperature have been obtained, using Seth's transition theory. Non- homogeneity in the disc is considered due to radial variation of modulus of rigidity. Thickness and density are assumed to vary radially. As a numerical example, it has been seen that a disc having more non -homogeneity at the bore (t>0) whose thickness and density decrease radially (k>0&amp;n<o) may be beneficial from a design point of view in the presence of small temperature gradient.