Large deformation simulation of anisotropic material

R.H.W. ten Thije, Remko Akkerman, Han Huetink

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

36 Downloads (Pure)

Abstract

Large deformation Finite Element (FE) simulations of anisotropic material often show slow convergence or break down with increasing anisotropy and deformation. Large deformations are generally approximated by multiple small linearised steps. This leads to poor performance and contradicting formulations. Here, a new conceptually simple scheme was implemented in an updated Lagrange formulation. An appropriate decomposition of the deformation gradient results in constitutive relations defined in invariant tensors such as the right Cauchy-Green tensor. Consistent tangent matrices are given for a linearly elastic fibre model and for a generalized anisotropic material. The simulations are robust, showing quadratic convergence for arbitrary degrees of anisotropy and arbitrary deformations with strain increments over 100%.
Original languageUndefined
Title of host publicationProceedings of the 9th International ESAFORM conference on Material Forming, 26-28 April 2006, Glasgow, UK
EditorsN. Juster, A. Rosochowski
Place of PublicationGlasgow, UK
PublisherPublishing House AKAPIT
Pages803-806
Number of pages4
ISBN (Print)83-89541-68-8
Publication statusPublished - 26 Apr 2006
Event9th International ESAFORM Conference on Material Forming 2006 - Glasgow, United Kingdom
Duration: 26 Apr 200628 Apr 2006
Conference number: 9

Conference

Conference9th International ESAFORM Conference on Material Forming 2006
Abbreviated titleESAFORM 2006
CountryUnited Kingdom
CityGlasgow
Period26/04/0628/04/06

Keywords

  • IR-59569
  • METIS-236287

Cite this

ten Thije, R. H. W., Akkerman, R., & Huetink, H. (2006). Large deformation simulation of anisotropic material. In N. Juster, & A. Rosochowski (Eds.), Proceedings of the 9th International ESAFORM conference on Material Forming, 26-28 April 2006, Glasgow, UK (pp. 803-806). Glasgow, UK: Publishing House AKAPIT.
ten Thije, R.H.W. ; Akkerman, Remko ; Huetink, Han. / Large deformation simulation of anisotropic material. Proceedings of the 9th International ESAFORM conference on Material Forming, 26-28 April 2006, Glasgow, UK. editor / N. Juster ; A. Rosochowski. Glasgow, UK : Publishing House AKAPIT, 2006. pp. 803-806
@inproceedings{3b07bea3f958494f9dd6917f309afca7,
title = "Large deformation simulation of anisotropic material",
abstract = "Large deformation Finite Element (FE) simulations of anisotropic material often show slow convergence or break down with increasing anisotropy and deformation. Large deformations are generally approximated by multiple small linearised steps. This leads to poor performance and contradicting formulations. Here, a new conceptually simple scheme was implemented in an updated Lagrange formulation. An appropriate decomposition of the deformation gradient results in constitutive relations defined in invariant tensors such as the right Cauchy-Green tensor. Consistent tangent matrices are given for a linearly elastic fibre model and for a generalized anisotropic material. The simulations are robust, showing quadratic convergence for arbitrary degrees of anisotropy and arbitrary deformations with strain increments over 100{\%}.",
keywords = "IR-59569, METIS-236287",
author = "{ten Thije}, R.H.W. and Remko Akkerman and Han Huetink",
year = "2006",
month = "4",
day = "26",
language = "Undefined",
isbn = "83-89541-68-8",
pages = "803--806",
editor = "N. Juster and A. Rosochowski",
booktitle = "Proceedings of the 9th International ESAFORM conference on Material Forming, 26-28 April 2006, Glasgow, UK",
publisher = "Publishing House AKAPIT",
address = "Austria",

}

ten Thije, RHW, Akkerman, R & Huetink, H 2006, Large deformation simulation of anisotropic material. in N Juster & A Rosochowski (eds), Proceedings of the 9th International ESAFORM conference on Material Forming, 26-28 April 2006, Glasgow, UK. Publishing House AKAPIT, Glasgow, UK, pp. 803-806, 9th International ESAFORM Conference on Material Forming 2006, Glasgow, United Kingdom, 26/04/06.

Large deformation simulation of anisotropic material. / ten Thije, R.H.W.; Akkerman, Remko; Huetink, Han.

Proceedings of the 9th International ESAFORM conference on Material Forming, 26-28 April 2006, Glasgow, UK. ed. / N. Juster; A. Rosochowski. Glasgow, UK : Publishing House AKAPIT, 2006. p. 803-806.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

TY - GEN

T1 - Large deformation simulation of anisotropic material

AU - ten Thije, R.H.W.

AU - Akkerman, Remko

AU - Huetink, Han

PY - 2006/4/26

Y1 - 2006/4/26

N2 - Large deformation Finite Element (FE) simulations of anisotropic material often show slow convergence or break down with increasing anisotropy and deformation. Large deformations are generally approximated by multiple small linearised steps. This leads to poor performance and contradicting formulations. Here, a new conceptually simple scheme was implemented in an updated Lagrange formulation. An appropriate decomposition of the deformation gradient results in constitutive relations defined in invariant tensors such as the right Cauchy-Green tensor. Consistent tangent matrices are given for a linearly elastic fibre model and for a generalized anisotropic material. The simulations are robust, showing quadratic convergence for arbitrary degrees of anisotropy and arbitrary deformations with strain increments over 100%.

AB - Large deformation Finite Element (FE) simulations of anisotropic material often show slow convergence or break down with increasing anisotropy and deformation. Large deformations are generally approximated by multiple small linearised steps. This leads to poor performance and contradicting formulations. Here, a new conceptually simple scheme was implemented in an updated Lagrange formulation. An appropriate decomposition of the deformation gradient results in constitutive relations defined in invariant tensors such as the right Cauchy-Green tensor. Consistent tangent matrices are given for a linearly elastic fibre model and for a generalized anisotropic material. The simulations are robust, showing quadratic convergence for arbitrary degrees of anisotropy and arbitrary deformations with strain increments over 100%.

KW - IR-59569

KW - METIS-236287

M3 - Conference contribution

SN - 83-89541-68-8

SP - 803

EP - 806

BT - Proceedings of the 9th International ESAFORM conference on Material Forming, 26-28 April 2006, Glasgow, UK

A2 - Juster, N.

A2 - Rosochowski, A.

PB - Publishing House AKAPIT

CY - Glasgow, UK

ER -

ten Thije RHW, Akkerman R, Huetink H. Large deformation simulation of anisotropic material. In Juster N, Rosochowski A, editors, Proceedings of the 9th International ESAFORM conference on Material Forming, 26-28 April 2006, Glasgow, UK. Glasgow, UK: Publishing House AKAPIT. 2006. p. 803-806