A simple method of incorporating the effect of the Uniform Stress Hypothesis in arterial wall stress computations

Grand Joldes, Christopher Noble, Stanislav Polzer, Zeike Taylor, Adam Wittek, Karol Miller

Research output: Contribution to journalArticle

Abstract

Purpose: Residual stress has a great influence on the mechanical behaviour of arterial wall. Numerous research groups used the Uni-form Stress Hypothesis to allow the inclusion of the effects of residual stress when computing stress distributions in the arterial wall. Nevertheless, the available methods used for this purpose are very computationally expensive, due to their iterative nature. In this paper we present a new method for including the effects of residual stress on the computed stress distribution in the arterial wall. Methods: The new method, by using the Uniform Stress Hypothesis, enables computing the effect of residual stress by averaging stresses across the thickness of the arterial wall. Results: Being a post-processing method for the computed stress distributions, the proposed method is computationally inexpensive, and thus, better suited for clinical applications than the previously used ones. Conclusions: The resulting stress distributions and values obtained using the proposed method based on the Uniform Stress Hypothesis are very close to the ones returned by an existing iterative method.
Original languageEnglish
Pages (from-to)59-67
Number of pages9
JournalActa of Bioengineering and Biomechanics
Volume20
Issue number3
DOIs
Publication statusPublished - 1 Jul 2018

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Stress concentration
Residual stresses
Iterative methods
Processing
Research

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title = "A simple method of incorporating the effect of the Uniform Stress Hypothesis in arterial wall stress computations",
abstract = "Purpose: Residual stress has a great influence on the mechanical behaviour of arterial wall. Numerous research groups used the Uni-form Stress Hypothesis to allow the inclusion of the effects of residual stress when computing stress distributions in the arterial wall. Nevertheless, the available methods used for this purpose are very computationally expensive, due to their iterative nature. In this paper we present a new method for including the effects of residual stress on the computed stress distribution in the arterial wall. Methods: The new method, by using the Uniform Stress Hypothesis, enables computing the effect of residual stress by averaging stresses across the thickness of the arterial wall. Results: Being a post-processing method for the computed stress distributions, the proposed method is computationally inexpensive, and thus, better suited for clinical applications than the previously used ones. Conclusions: The resulting stress distributions and values obtained using the proposed method based on the Uniform Stress Hypothesis are very close to the ones returned by an existing iterative method.",
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A simple method of incorporating the effect of the Uniform Stress Hypothesis in arterial wall stress computations. / Joldes, Grand; Noble, Christopher; Polzer, Stanislav; Taylor, Zeike; Wittek, Adam; Miller, Karol.

In: Acta of Bioengineering and Biomechanics, Vol. 20, No. 3, 01.07.2018, p. 59-67.

Research output: Contribution to journalArticle

TY - JOUR

T1 - A simple method of incorporating the effect of the Uniform Stress Hypothesis in arterial wall stress computations

AU - Joldes, Grand

AU - Noble, Christopher

AU - Polzer, Stanislav

AU - Taylor, Zeike

AU - Wittek, Adam

AU - Miller, Karol

PY - 2018/7/1

Y1 - 2018/7/1

N2 - Purpose: Residual stress has a great influence on the mechanical behaviour of arterial wall. Numerous research groups used the Uni-form Stress Hypothesis to allow the inclusion of the effects of residual stress when computing stress distributions in the arterial wall. Nevertheless, the available methods used for this purpose are very computationally expensive, due to their iterative nature. In this paper we present a new method for including the effects of residual stress on the computed stress distribution in the arterial wall. Methods: The new method, by using the Uniform Stress Hypothesis, enables computing the effect of residual stress by averaging stresses across the thickness of the arterial wall. Results: Being a post-processing method for the computed stress distributions, the proposed method is computationally inexpensive, and thus, better suited for clinical applications than the previously used ones. Conclusions: The resulting stress distributions and values obtained using the proposed method based on the Uniform Stress Hypothesis are very close to the ones returned by an existing iterative method.

AB - Purpose: Residual stress has a great influence on the mechanical behaviour of arterial wall. Numerous research groups used the Uni-form Stress Hypothesis to allow the inclusion of the effects of residual stress when computing stress distributions in the arterial wall. Nevertheless, the available methods used for this purpose are very computationally expensive, due to their iterative nature. In this paper we present a new method for including the effects of residual stress on the computed stress distribution in the arterial wall. Methods: The new method, by using the Uniform Stress Hypothesis, enables computing the effect of residual stress by averaging stresses across the thickness of the arterial wall. Results: Being a post-processing method for the computed stress distributions, the proposed method is computationally inexpensive, and thus, better suited for clinical applications than the previously used ones. Conclusions: The resulting stress distributions and values obtained using the proposed method based on the Uniform Stress Hypothesis are very close to the ones returned by an existing iterative method.

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SN - 1509-409X

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