Abstract
In many industrial applications, thick-walled cylindrical components are subjected to high pressure and/or temperature. During the operation the cylinder wall may undergo elastic–plastic deformation. This paper presents plane-stress and plane-strain thermo-elastic–plastic stress analyses of thick-walled cylinders subjected to a radial thermal gradient. A three-dimensional finite element method (3D FEM) analysis of the thermo-elastic–plastic stresses in thick-walled cylinder is also carried out. The 3D FEM results are compared with the analytical plane stress and the generalized plane strain analyses in order to study the validity of these models on the basis of length to wall-thickness ratio of cylinders. The plane stress and generalized plane strain analyses are based on the Tresca yield criterion and associated flow rule. The strain hardening behavior of the material of the cylinder is taken into account. It is observed that for the length to wall thickness ratio of more than 6, the generalized plane strain analysis can provide sufficiently accurate results. Similarly, for the length to wall thickness ratio of less than 0.5, plane stress analysis can be used. When the length to wall thickness ratio is more than 0.5 but less than 6, a three-dimensional analysis is needed.
Highlights
The thick-walled cylinders subjected to pressures and temperatures find several applications, e.g., in chemical industries and nuclear power plants
Orçan [13] carried out a thermo-elastic–plastic analysis of elastic-perfectly plastic cylindrical rod with uniform internal heat generation for generalized plane strain condition based on Tresca yield criterion
The plastic parts of radial, hoop and axial strains produced in the cylinder are obtained for both plane stress and generalized plane strain models (Fig. 3)
Summary
The thick-walled cylinders subjected to pressures and temperatures find several applications, e.g., in chemical industries and nuclear power plants. Wong and Simionescu [9] developed an elastic–plastic analytical model of thickwalled tube subjected to internal heating and pressure assuming small displacements, plane strain condition and the yield criterion of Tresca without strain hardening. They did not consider the case in which there are outer and inner plastic zones with an intermediate elastic zone. Orçan [13] carried out a thermo-elastic–plastic analysis of elastic-perfectly plastic cylindrical rod with uniform internal heat generation for generalized plane strain condition based on Tresca yield criterion. It is appropriate to treat the mechanical and thermal properties of the material as temperature-independent
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