A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading

Haofeng Chen; Alan R.S. Ponter

doi:10.1016/S0997-7538(01)01162-7

A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading

Haofeng Chen, Alan R.S. Ponter

Mechanical And Aerospace Engineering

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119 Citations (Scopus)

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Abstract

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.

Original language	English
Pages (from-to)	555-571
Number of pages	16
Journal	European Journal of Mechanics - A/Solids
Volume	20
Issue number	4
DOIs	https://doi.org/10.1016/S0997-7538(01)01162-7
Publication status	Published - 2001

Keywords

inelasticity
shakedown
ratchetting
cyclic load
plastic limit
strain hardening
structural analysis
perforated plate
numerical method
modeling
materials science

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10.1016/S0997-7538(01)01162-7

http://dx.doi.org/10.1016/S0997-7538(01)01162-7

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Chen, H., & Ponter, A. R. S. (2001). A method for the evaluation of a ratchet limit and the amplitude of plastic strain for bodies subjected to cyclic loading. European Journal of Mechanics - A/Solids, 20(4), 555-571. https://doi.org/10.1016/S0997-7538(01)01162-7

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AU - Ponter, Alan R.S.

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AB - 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.

KW - inelasticity

KW - shakedown

KW - ratchetting

KW - cyclic load

KW - plastic limit

KW - strain hardening

KW - structural analysis

KW - perforated plate

KW - numerical method

KW - modeling

KW - materials science

UR - http://dx.doi.org/10.1016/S0997-7538(01)01162-7

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EP - 571

JO - European Journal of Mechanics - A/Solids

JF - European Journal of Mechanics - A/Solids

SN - 0997-7538

IS - 4

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