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Analysis of thermal ratchetting of cylinders subjected to axial movement of temperature distribution. (English) Zbl 0887.73015

Summary: This paper is concerned with thermal ratchetting of a cylinder subjected to a temperature front moving cyclically in the axial direction. The thermal ratchetting strain accumulated before shaking down is analyzed by approximating trilinearly the deformation profile of the cylinder and by assuming Masing’s rule and no cyclic hardening. A set of equations to estimate the thermal ratchetting strain are thus derived, and they are specified to obtain an analytical solution by assuming further a power-law type stress versus strain relation, together with no temperature dependence of material parameters. The resulting solution is verified by comparing its prediction with results of finite element analysis and experiments on 316FR steel cylinders. Moreover, the thermal ratchetting relation of Goodman for elastic-perfectly plastic cylinders is shown to be valid as a consequence of the strain energy relation derived in the present analysis.

MSC:

74C99 Plastic materials, materials of stress-rate and internal-variable type
80A20 Heat and mass transfer, heat flow (MSC2010)
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