Finite-strain laminates

Bending-enhanced hexahedron and delamination

P. Areias, Timon Rabczuk, P. P. Camanho

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

With a new finite strain anisotropic framework, we introduce a unified approach for constitutive modeling and delamination of composites. We describe a finite-strain semi-implicit integration algorithm and the application to assumed-strain hexahedra. In a laminate composite, the laminae are modeled by an anisotropic Kirchhoff/Saint-Venant material and the interfaces are modeled by the exponential cohesive law with intrinsic characteristic length and the criterion by Benzeggagh and Kenane for the equivalent fracture toughness. For the element formulation, a weighted least-squares algorithm is used to calculate the mixed strain. Löwdin frames are used to model orthotropic materials without the added task of performing a polar decomposition or empirical frames. To assess the validity of our proposals and inspect step and mesh size dependence, a least-squares based hexahedral element is implemented and tested in depth in both deformation and delamination examples.

Original languageEnglish
Pages (from-to)277-290
Number of pages14
JournalComposite Structures
Volume139
DOIs
Publication statusPublished - 2016 Apr 1
Externally publishedYes

Fingerprint

Bending (deformation)
Delamination
Laminates
Composite materials
Fracture toughness
Decomposition

Keywords

  • Anisotropy
  • Assumed-strain hexahedron
  • Delamination
  • Finite strains
  • Löwdin frame

ASJC Scopus subject areas

  • Civil and Structural Engineering
  • Ceramics and Composites

Cite this

Finite-strain laminates : Bending-enhanced hexahedron and delamination. / Areias, P.; Rabczuk, Timon; Camanho, P. P.

In: Composite Structures, Vol. 139, 01.04.2016, p. 277-290.

Research output: Contribution to journalArticle

Areias, P. ; Rabczuk, Timon ; Camanho, P. P. / Finite-strain laminates : Bending-enhanced hexahedron and delamination. In: Composite Structures. 2016 ; Vol. 139. pp. 277-290.
@article{79fc9d5d1ecc48d9b71db7bd3ea4d633,
title = "Finite-strain laminates: Bending-enhanced hexahedron and delamination",
abstract = "With a new finite strain anisotropic framework, we introduce a unified approach for constitutive modeling and delamination of composites. We describe a finite-strain semi-implicit integration algorithm and the application to assumed-strain hexahedra. In a laminate composite, the laminae are modeled by an anisotropic Kirchhoff/Saint-Venant material and the interfaces are modeled by the exponential cohesive law with intrinsic characteristic length and the criterion by Benzeggagh and Kenane for the equivalent fracture toughness. For the element formulation, a weighted least-squares algorithm is used to calculate the mixed strain. L{\"o}wdin frames are used to model orthotropic materials without the added task of performing a polar decomposition or empirical frames. To assess the validity of our proposals and inspect step and mesh size dependence, a least-squares based hexahedral element is implemented and tested in depth in both deformation and delamination examples.",
keywords = "Anisotropy, Assumed-strain hexahedron, Delamination, Finite strains, L{\"o}wdin frame",
author = "P. Areias and Timon Rabczuk and Camanho, {P. P.}",
year = "2016",
month = "4",
day = "1",
doi = "10.1016/j.compstruct.2015.12.007",
language = "English",
volume = "139",
pages = "277--290",
journal = "Composite Structures",
issn = "0263-8223",
publisher = "Elsevier BV",

}

TY - JOUR

T1 - Finite-strain laminates

T2 - Bending-enhanced hexahedron and delamination

AU - Areias, P.

AU - Rabczuk, Timon

AU - Camanho, P. P.

PY - 2016/4/1

Y1 - 2016/4/1

N2 - With a new finite strain anisotropic framework, we introduce a unified approach for constitutive modeling and delamination of composites. We describe a finite-strain semi-implicit integration algorithm and the application to assumed-strain hexahedra. In a laminate composite, the laminae are modeled by an anisotropic Kirchhoff/Saint-Venant material and the interfaces are modeled by the exponential cohesive law with intrinsic characteristic length and the criterion by Benzeggagh and Kenane for the equivalent fracture toughness. For the element formulation, a weighted least-squares algorithm is used to calculate the mixed strain. Löwdin frames are used to model orthotropic materials without the added task of performing a polar decomposition or empirical frames. To assess the validity of our proposals and inspect step and mesh size dependence, a least-squares based hexahedral element is implemented and tested in depth in both deformation and delamination examples.

AB - With a new finite strain anisotropic framework, we introduce a unified approach for constitutive modeling and delamination of composites. We describe a finite-strain semi-implicit integration algorithm and the application to assumed-strain hexahedra. In a laminate composite, the laminae are modeled by an anisotropic Kirchhoff/Saint-Venant material and the interfaces are modeled by the exponential cohesive law with intrinsic characteristic length and the criterion by Benzeggagh and Kenane for the equivalent fracture toughness. For the element formulation, a weighted least-squares algorithm is used to calculate the mixed strain. Löwdin frames are used to model orthotropic materials without the added task of performing a polar decomposition or empirical frames. To assess the validity of our proposals and inspect step and mesh size dependence, a least-squares based hexahedral element is implemented and tested in depth in both deformation and delamination examples.

KW - Anisotropy

KW - Assumed-strain hexahedron

KW - Delamination

KW - Finite strains

KW - Löwdin frame

UR - http://www.scopus.com/inward/record.url?scp=84957803349&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84957803349&partnerID=8YFLogxK

U2 - 10.1016/j.compstruct.2015.12.007

DO - 10.1016/j.compstruct.2015.12.007

M3 - Article

VL - 139

SP - 277

EP - 290

JO - Composite Structures

JF - Composite Structures

SN - 0263-8223

ER -