IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-88-470-2089-4_35.html

Homogenized elasticity solvers for biomorphic microcellular ceramics

In: Numerical Mathematics and Advanced Applications

Author

Listed:
  • R. H. W. Hoppe

    (University of Augsburg, Institute of Mathematics)

  • S. I. Petrova

    (University of Augsburg, Institute of Mathematics
    Bulgarian Academy of Sciences, Central Laboratory for Parallel Processing)

Abstract

Summary Processing of ceramic composites from biologically derived materials has recently attained particular interest. Biomorphic microcellular silicon carbide ceramics from wood with anisotropic porous microstructures pseudomorphous to wood have been produced in the last few years. The mathematical microstructural model related to the inelastic behavior of the new composite materials is formulated. The development and implementation of optimal strategies for the mechanical performance of the ceramic composites are based on a homogenized macrostructural model. The latter is obtained by assuming a periodical distribution of the microstructure treated as an infinitesimal square periodicity cell. The homogenized elasticity coefficients are computed numerically by using a finite element discretization of the cell. Efficient solution techniques for the stationary homogenized equation in the whole domain are proposed in the case of linear elasticity.

Suggested Citation

  • R. H. W. Hoppe & S. I. Petrova, 2003. "Homogenized elasticity solvers for biomorphic microcellular ceramics," Springer Books, in: Franco Brezzi & Annalisa Buffa & Stefania Corsaro & Almerico Murli (ed.), Numerical Mathematics and Advanced Applications, pages 371-380, Springer.
    • Handle: RePEc:spr:sprchp:978-88-470-2089-4_35
    DOI: 10.1007/978-88-470-2089-4_35
    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

    Keywords

    ;
    ;
    ;
    ;
    ;

    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:978-88-470-2089-4_35. 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.