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New Achievements in Continuum Mechanics and Thermodynamics pp 553–563Cite as

A Simple Qualitative Model for the Pressure-induced Expansion andWall-stress Response of Fluid-filled Biological Channels

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Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 108))

Abstract

This work investigates the effects of a pressure increase in deformable fluid-filled biochannels, such as arteries and veins. Simple qualitative expressions are developed relating pressure-induced changes to the biochannel expansion, volumetric flow rate, and biochannel wall stress. Such relations are necessary for a rapid analysis in potential applications such as post-traumatic stress, hemorrhagic strokes, atherosclerotic plaque buildup, etc. The relations are based on the development of functions that correct classical pressurized thin-tube expressions for hoop stress for finite deformations.

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Authors and Affiliations

  1. Department of Mechanical Engineering, University of California, 6195 Etcheverry Hall, Berkeley, CA, 94720-1740, USA

    Tarek I. Zohdi

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  1. Tarek I. Zohdi
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Correspondence to Tarek I. Zohdi .

Editor information

Editors and Affiliations

  1. Institute of Mechanics, Technische Universität Berlin, Berlin, Germany

    Bilen Emek Abali

  2. Institut für Mechanik, Otto-von-Guericke-University Magdeburg, Magdeburg, Germany

    Holm Altenbach

  3. Dipartimento di Ingegneria Strutturale e Geotecnica, Università degli Studi di Roma “La Sapienza”, Roma, Italy

    Francesco dell'Isola

  4. Faculty of Civil and Environmental Engineering, Gdansk University of Technology, Gdansk, Poland

    Victor A. Eremeyev

  5. Fakultät Maschinenbau, Esslingen University of Applied Sciences, Esslingen, Germany

    Andreas Öchsner

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Zohdi, T.I. (2019). A Simple Qualitative Model for the Pressure-induced Expansion andWall-stress Response of Fluid-filled Biological Channels. In: Abali, B., Altenbach, H., dell'Isola, F., Eremeyev, V., Öchsner, A. (eds) New Achievements in Continuum Mechanics and Thermodynamics. Advanced Structured Materials, vol 108. Springer, Cham. https://doi.org/10.1007/978-3-030-13307-8_37

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  • DOI: https://doi.org/10.1007/978-3-030-13307-8_37

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-13306-1

  • Online ISBN: 978-3-030-13307-8

  • eBook Packages: EngineeringEngineering (R0)

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