IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-031-34099-4_13.html
   My bibliography  Save this book chapter

Time-Harmonic Oscillations of a Poroelastic Body with an Application to Modelling the Spinal Cord

In: Integral Methods in Science and Engineering

Author

Listed:
  • P. J. Harris

    (The University of Brighton)

  • J. Venton

    (The National Physical Laboratory)

Abstract

The time-dependent flow of a liquid through a deforming poroelastic material can be modelled using a system of coupled time-dependant partial differential equations. One of the main problems with trying to find the numerical solution of these equations (subject to suitable initial and boundary conditions) is finding an accurate, stable and computationally efficient time-stepping method. However, if the boundary condition on the outer surface of the poroelastic structure have harmonic time dependence then the solution will have the same harmonic time dependence. By moving from the time domain to the frequency domain it is possible to transform the problem into a boundary value problem which is straight forward to solve using appropriate numerical method. The methods developed in this paper are used to determine the deformations of the spinal cord subject to a harmonic pressure loading on its outer surface. It will consider cases such when the cord has a region of oedema or a cavity (syrinx) that is characteristic of the condition syringomyelia.

Suggested Citation

  • P. J. Harris & J. Venton, 2023. "Time-Harmonic Oscillations of a Poroelastic Body with an Application to Modelling the Spinal Cord," Springer Books, in: Christian Constanda & Bardo E.J. Bodmann & Paul J. Harris (ed.), Integral Methods in Science and Engineering, chapter 0, pages 155-164, Springer.
    • Handle: RePEc:spr:sprchp:978-3-031-34099-4_13
    DOI: 10.1007/978-3-031-34099-4_13
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-031-34099-4_13. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.