Publication detail

Computational Modeling of Fiber Composites with Thick Fibers as Homogeneous Structures with Use of Couple Stress Theory

FEDOROVA, S.

Original Title

Computational Modeling of Fiber Composites with Thick Fibers as Homogeneous Structures with Use of Couple Stress Theory

English Title

Computational Modeling of Fiber Composites with Thick Fibers as Homogeneous Structures with Use of Couple Stress Theory

Type

book chapter

Language

en

Original Abstract

Unidirectional fibre-reinforced elastomers are investigated. A respective finite strain model is formulated within the couple stress theory and a specific new form of strain energy density is implemented for the three-dimensional finite element analysis. The homogeneous anisotropic model is based on kinematics and constitutive equations proposed by Spencer and Soldatos (2007) and includes additional material parameter regulating bending stiffness of the material regardless of its tensile stiffness. The procedure of determination of the additional material parameter is offered for the case of simple beam under small strains. Numerical simulations of four-point bending test are presented to demonstrate advantage of the new model.

English abstract

Unidirectional fibre-reinforced elastomers are investigated. A respective finite strain model is formulated within the couple stress theory and a specific new form of strain energy density is implemented for the three-dimensional finite element analysis. The homogeneous anisotropic model is based on kinematics and constitutive equations proposed by Spencer and Soldatos (2007) and includes additional material parameter regulating bending stiffness of the material regardless of its tensile stiffness. The procedure of determination of the additional material parameter is offered for the case of simple beam under small strains. Numerical simulations of four-point bending test are presented to demonstrate advantage of the new model.

Keywords

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

Released

16.08.2015

ISBN

978-3-319-20007-1

Book

Design and Analysis of Reinforced Fiber Composites

Edition

Pedro V. Marcal, Nobuki Yamagata

Edition number

1

Pages from

25

Pages to

47

Pages count

23

URL

Documents

BibTex


@inbook{BUT115819,
  author="Svitlana {Fedorova} and Tomáš {Lasota} and Jiří {Burša}",
  title="Computational Modeling of Fiber Composites with Thick Fibers as Homogeneous Structures with Use of Couple Stress Theory",
  annote="Unidirectional fibre-reinforced elastomers are investigated. A respective finite 

strain model is formulated within the couple stress theory and a specific new form 

of strain energy density is implemented for the three-dimensional finite element 

analysis. The homogeneous anisotropic model is based on kinematics and 

constitutive equations proposed by Spencer and Soldatos (2007) and includes 

additional material parameter regulating bending stiffness of the material 

regardless of its tensile stiffness. The procedure of determination of the additional 

material parameter is offered for the case of simple beam under small strains.  

Numerical simulations of four-point bending test are presented to demonstrate 

advantage of the new model.",
  booktitle="Design and Analysis of Reinforced Fiber Composites",
  chapter="115819",
  doi="10.1007/978-3-319-20007-1",
  edition="Pedro V. Marcal, Nobuki Yamagata",
  howpublished="online",
  year="2015",
  month="august",
  pages="25--47",
  type="book chapter"
}