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Constitutive equations and finite element formulation for anisotropic hyperelastic composites based on constrained Cosserat continuum

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F12%3APU101994" target="_blank" >RIV/00216305:26210/12:PU101994 - isvavai.cz</a>

  • Result on the web

  • DOI - Digital Object Identifier

Alternative languages

  • Result language

    angličtina

  • Original language name

    Constitutive equations and finite element formulation for anisotropic hyperelastic composites based on constrained Cosserat continuum

  • Original language description

    The paper deals with computational simulations of composites with hyperelastic matrix and steel fibres. By comparing different models we found out that present anisotropic hyperelastic models are able to give realistic results only if the fibres are tensed without bending. Hence, we followed Spencer and Soldatos who introduced constitutive equations for anisotropic hyperelastic fibre reinforced composites with bending stiffness of fibres, based on constrained Cosserat theory, which is very complex for practical use. Therefore, we applied some simplifications introduced by Spencer and added some others. After derivation of simplified equations, finite element formulation was elaborated. Due to constraint between rotations and displacements, second derivatives of displacements occur in the finite element formulation. To achieve convergence, continuity of displacements and their first derivatives must be satisfied at element boundaries. We proposed formulation based on minimization of the

  • Czech name

  • Czech description

Classification

  • Type

    D - Article in proceedings

  • CEP classification

    BM - Solid-state physics and magnetism

  • OECD FORD branch

Result continuities

  • Project

  • Continuities

    S - Specificky vyzkum na vysokych skolach

Others

  • Publication year

    2012

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Article name in the collection

    ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers

  • ISBN

    978-3-9502481-9-7

  • ISSN

  • e-ISSN

  • Number of pages

    11

  • Pages from-to

    3379-3389

  • Publisher name

    Elsevier

  • Place of publication

    Vienna

  • Event location

    Vienna

  • Event date

    Sep 10, 2012

  • Type of event by nationality

    WRD - Celosvětová akce

  • UT code for WoS article