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Prediction of the Time to Failure of Axisymmetrically Loaded Hollow Cylinders Under Conditions of Creep

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The problem of determination of the stress-strain state, degree of damage, and long-term strength of axisymmetrically loaded hollow cylinders under the conditions of creep is studied both in the threedimensional… Click to show full abstract

The problem of determination of the stress-strain state, degree of damage, and long-term strength of axisymmetrically loaded hollow cylinders under the conditions of creep is studied both in the threedimensional statement and in the shell statement. The latter is based on the hypothesis of rectilinear element. The solutions obtained on the basis of the theory of shells are compared with the space solutions for cylinders of various thicknesses. A new method for the prediction of the time to failure in the three-dimensional statement is developed on the basis of the data obtained in the shell statement, and vice versa.

Keywords: conditions creep; prediction time; loaded hollow; cylinders conditions; hollow cylinders; axisymmetrically loaded

Journal Title: Journal of Mathematical Sciences
Year Published: 2019

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