Annular rotating disks optimal with respect to mixed creep rupture
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Institute of Fundamental Technological Research, Polish Academy of Sciences, Warsaw
Cracow University of Technology, Faculty of Mechanical Engineering, Institute of Applied Mechanics, Cracow
Submission date: 2017-01-19
Acceptance date: 2017-07-17
Online publication date: 2018-01-15
Publication date: 2018-01-15
Journal of Theoretical and Applied Mechanics 2018;56(1):57-69
Optimal shapes in the class of polynomial functions for rotating annular disks with respect to the mixed creep rupture time are found. Two effects leading to damage: diminishing of transversal dimensions and growth of micro-cracks are simultaneously taken into account. The first of them requires the finite strain analysis, the latter is described by Kachanov’s evolution equation. Behaviour of the material is described by nonlinear Norton’s law, generalized for true stresses and logarithmic strains, and the shape change law in form of similarity of true stresses and logarithmic strains deviators. For optimal shapes of the disk, changes of geometry and a continuity function are presented. The theoretical considerations based on the perception of the structural components as some highlighted objects with defined properties is presented.
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