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Mathematical and numerical modelling of large creep deformations for annular rotating disks

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Abstract

A simulation model is presented for the creep process of the rotating disks under the radial pressure in the presence of body forces. The finite strain theory is applied. The material is described by the Norton-Bailey law generalized for true stresses and logarithmic strains. A mathematical model is formulated in the form of a set of four partial differential equations with respect to the radial coordinate and time. Necessary initial and boundary conditions are also given. To make the model complete, a numerical procedure is proposed. The given example shows the effectiveness of this procedure. The results show that the classical finite element method cannot be used here because both the geometry and the loading (body forces) change with the time in the creep process, and the finite elements need to be redefined at each time step.

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Authors and Affiliations

  1. Faculty of Mechanical Engineering, Institute of Applied Mechanics, Cracow University of Technology, Cracow, 31-864, Poland

    K. Szuwalski & A. Ustrzycka

Authors
  1. K. Szuwalski
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  2. A. Ustrzycka
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Correspondence to A. Ustrzycka.

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Szuwalski, K., Ustrzycka, A. Mathematical and numerical modelling of large creep deformations for annular rotating disks. Appl. Math. Mech.-Engl. Ed. 36, 1441–1448 (2015). https://doi.org/10.1007/s10483-015-1994-7

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  • DOI: https://doi.org/10.1007/s10483-015-1994-7

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