A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading
โ Scribed by Haofeng Chen; Alan R.S Ponter
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 337 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0997-7538
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โฆ Synopsis
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. The solutions provide an estimate of the maxima of the varying plastic strain magnitudes, which is compared with the Neuber approximate values. The position of the ratchet boundary is confirmed by comparison step-by-step analysis.
๐ SIMILAR VOLUMES
Although the shakedown theorems for perfect plasticity have been known since Koiter's 1960 review paper, extensions of the theory to situations where ratchetting or reverse plasticity occurs in excess of shakedown have not appeared in the literature. In this paper a generalisation of the upper bound
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