A method for the evaluation of design limits for structural materials in a cyclic state of creep
โ Scribed by Mostapha Boulbibane; Alan R.S. Ponter
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 316 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0997-7538
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โฆ Synopsis
The purpose of the present paper is to demonstrate how the minimum theorems proposed in an accompanying paper (Ponter and Boulbibane, 2002) can be utilised in the prediction of the deformation and life assessment of structures subjected to cyclic mechanical and thermal loadings. The developed method, which is based upon bounding theorems and an associate programming method, the Linear Matching method, takes into account the changes in residual stress field occurring within a cycle. Although the solution provided a bound on the inelastic work, it also appears that generally the displacements predicted by this solution are smaller than those that would be predicted by the rapid cycle solution. By way of illustration a simple non-linear viscous model is adopted and a number of solutions are presented involving a Bree plate problem subjected to cyclic histories of load and temperature. An elastic follow-up factor is identified as a key design parameter for high temperature dwell periods.
๐ SIMILAR VOLUMES
The paper derives minimum theorems that characterise the steady state cyclic state of a body subjected to cyclic load and temperature. The inelastic material behaviour is described by a convex flow potential. The model is chosen to provide an intermediary description between perfect plasticity, for
An extension of the upper bound shakedown theorem to load histories in excess of shakedown has been presented elsewhere in this issue. Here the minimisation process described therein is applied to the solutions of the ratchet limit as well as shakedown and limit load for a range of simple problems.