Mechanics of Solids, 2nd ed

Ross, Carl T.F.; Bird, John; Little, Andrew

doi:10.4324/9781315696225

Cited by 8 publications

(15 citation statements)

References 0 publications

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“…This point is the final point of the stress strain curve where the stress is linearly proportional to the strain. 1,4,5 2. Elastic limit.…”

Section: Introductionmentioning

confidence: 99%

“…Depending on the material, a 0.1%, 0.2%, or 2% offset is used to locate the proof stress. 1,[4][5][6] These offset values are, however, unjustified and are arbitrary values. 7 For engineering metals, the most common offset is 0.002.…”

Section: Introductionmentioning

confidence: 99%

“…A material’s yield point is defined as the onset of plastic deformation, that is, permanent deformation. 1 Knowledge of a material’s yield point allows engineers to safely incorporate it into a certain product or application. One example is the design of a car’s bonnet where its yield strength determines its crashworthiness.…”

Section: Introductionmentioning

confidence: 99%

“…For most materials, the elastic and the proportionality limits are the same or at the very least, close to each other. 1,4,5…”

Section: Introductionmentioning

confidence: 99%

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Material yield strain identification using energy absorption

Jalil

Anwar

Chou

et al. 2018

The Journal of Strain Analysis for Engineering Design

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The current gold standard of identifying yield points from stress strain curves involves identifying a significant change in elastic modulus or using an arbitrary strain offset (0.1%, 0.2% or 2%) of the elastic modulus. The development of the offset method was due to the ambiguous definitions of yield point. The result is an arbitrary yield point which is prone to various human-related errors. This article presents a method to identify a unique yield point consistently using energy absorbed by the material up to first peak stress. This mathematical process idealises the stress strain curve for easy identification of the yield point. The method was tested on three possible types of stress strain curves with either a distinct yield point or without a distinct yield point (with peak stress closer to elastic region or closer to fracture). The yield points obtained by the proposed method are shown to be robust, consistent and unaffected by variations of the stress strain curves and data noises.

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“…This point is the final point of the stress strain curve where the stress is linearly proportional to the strain. 1,4,5 2. Elastic limit.…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…For most materials, the elastic and the proportionality limits are the same or at the very least, close to each other. 1,4,5…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Material yield strain identification using energy absorption

Jalil

Anwar

Chou

et al. 2018

The Journal of Strain Analysis for Engineering Design

View full text Add to dashboard Cite

show abstract

“…Definition 1 (Ross, 1996) Assume that ξ and η are two random variables. If for every real number a, the inequality P (ξ ≥ a) > P (η ≥ a) holds, then ξ is stochastically greater than η, or η is stochastically less than ξ.…”

Section: Definitionsmentioning

confidence: 99%

Optimisation of replacement policy for a one-component system subject to Poisson shocks

2015

International Journal of Systems Science: Operations & Logi

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State estimation for aoristic models

vanLieshout

2022

Scandinavian J Statistics

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Aoristic data can be described by a marked point process in time in which the points cannot be observed directly but are known to lie in observable intervals, the marks. We consider Bayesian state estimation for the latent points when the marks are modelled in terms of an alternating renewal process in equilibrium and the prior is a Markov point process. We derive the posterior distribution, estimate its parameters and present some examples that illustrate the influence of the prior distribution. The model is then used to estimate times of occurrence of interval censored crimes. KEYWORDS: alternating renewal process, aoristic data, criminological data, marked temporal point process, Markov chain Monte Carlo methods, Markov point process state estimation.

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Mechanics of Solids, 2nd ed

Cited by 8 publications

References 0 publications

Material yield strain identification using energy absorption

Material yield strain identification using energy absorption

Optimisation of replacement policy for a one-component system subject to Poisson shocks

State estimation for aoristic models

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