Detail publikace

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

LASOTA, T. BURŠA, J. FEDOROVA, S.

Originální název

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

Typ

článek ve sborníku ve WoS nebo Scopus

Jazyk

angličtina

Originální abstrakt

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 functional with displacements, rotations and Lagrange multiplier as degrees of freedom.

Klíčová slova

hyperelasticity, anisotropy, fibre composite, Cosserat continuum, finite element method

Autoři

LASOTA, T.; BURŠA, J.; FEDOROVA, S.

Rok RIV

2012

Vydáno

4. 9. 2012

Nakladatel

Elsevier

Místo

Vienna

ISBN

978-3-9502481-9-7

Kniha

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

Strany od

3379

Strany do

3389

Strany počet

11

BibTex

@inproceedings{BUT97229,
  author="Tomáš {Lasota} and Jiří {Burša} and Svitlana {Fedorova}",
  title="Constitutive equations and finite element formulation for anisotropic hyperelastic composites based on constrained Cosserat continuum",
  booktitle="ECCOMAS 2012 - European Congress on Computational Methods in Applied Sciences and Engineering, e-Book Full Papers",
  year="2012",
  pages="3379--3389",
  publisher="Elsevier",
  address="Vienna",
  isbn="978-3-9502481-9-7"
}