Heat-Induced, Pressure-Induced and Centrifugal-Force-Induced Exact Axisymmetric Thermo-Mechanical Analyses in a Thick-Walled Spherical Vessel, an Infinite Cylindrical Vessel, and a Uniform Disc Made of an Isotropic and Homogeneous Material

Abstract

Heat-induced, pressure-induced, and centrifugal force-induced axisymmetric exact deformation and stresses in a thick-walled

spherical vessel, a cylindrical vessel, and a uniform disc are all determined analytically at a specified constant surface

temperature and at a constant angular velocity. The inner and outer pressures are both included in the formulation of annular

structures made of an isotropic and homogeneous linear elastic material. Governing equations in the form of Euler-Cauchy

differential equation with constant coefficients are solved and results are presented in compact forms. For discs, three different

boundary conditions are taken into account to consider mechanical engineering applications. The present study is also

peppered with numerical results in graphical forms.

Keywords

• Thermo-Mechanical
• Elasticity solution
• Exact solution
• Rotating disk
• Pressure vessel

References

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