Optimal Design Of Full Disks With Respect To
Mixed Creep Rupture Time
Author(s)
K. Szuwalski & A. Ustrzycka
Abstract
The mixed rupture theory to the optimization problem for the complex stress
state is used. The problem of optimal shape for the rotating full disk with respect
to mixed rupture time is investigated. The mathematical model of mixed creep
rupture is described by the system of five partial differential equations. Difficulty
of the problem results from two types of nonlinearities: geometrical connected
with the use of the finite strain theory and physical - the material is described by
the Norton’s creep law, here generalized for true stresses and logarithmic strains.
Additional time factor leads to subsequent complications. The parametric
optimization describing the initial shape of the disk is applied. The obtained
results are compared with the optimal disks with respect to ductile creep rupture
time.
Keywords: mixed creep rupture, structural optimization, full disk.
1 Introduction
Structural elements working under creep conditions belong to the relatively new
branches of structural optimisation, started in the seventieth years of the last
century. The problem of time to rupture evaluation is of obvious relevance for
various machine parts working under high temperature conditions. Theoretical
modelling of long time strength appears to be important. A broad presentation of
various objective functions with division on time-dependent and timeindependent,
was given by Życzkowski [1]. To the latter group belong criteria
connected with creep rupture. Most papers on optimal structural design are based
on the brittle creep rupture theory proposed by Kachanov (small strain theory). It
was due to its relative simplicity - possibility of rigidification theorem
Keywords
mixed creep rupture, structural optimization, full disk.
Related Book
Other papers in this volume
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