NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding

Research output: Contribution to journalArticleResearchpeer review

Authors

Research Organisations

External Research Organisations

  • University of Salento
  • Technische Universität Braunschweig
View graph of relations

Details

Original languageEnglish
Pages (from-to)369-388
Number of pages20
JournalComputational mechanics
Volume54
Issue number2
Publication statusPublished - 20 Feb 2014

Abstract

Cohesive zone (CZ) models have long been used by the scientific community to analyze the progressive damage of materials and interfaces. In these models, non-linear relationships between tractions and relative displacements are assumed, which dictate both the work of separation per unit fracture surface and the peak stress that has to be reached for the crack formation. This contribution deals with isogeometric CZ modeling of interface debonding. The interface is discretized with generalized contact elements which account for both contact and cohesive debonding within a unified framework. The formulation is suitable for non-matching discretizations of the interacting surfaces in presence of large deformations and large relative displacements. The isogeometric discretizations are based on non uniform rational B-splines as well as analysis-suitable T-splines enabling local refinement. Conventional Lagrange polynomial discretizations are also used for comparison purposes. Some numerical examples demonstrate that the proposed formulation based on isogeometric analysis is a computationally accurate and efficient technology to solve challenging interface debonding problems in 2D and 3D.

Keywords

    Cohesive zone modeling, Contact, Debonding, Isogeometric analysis, NURBS, T-splines

ASJC Scopus subject areas

Cite this

NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding. / Dimitri, R.; De Lorenzis, L.; Wriggers, P. et al.
In: Computational mechanics, Vol. 54, No. 2, 20.02.2014, p. 369-388.

Research output: Contribution to journalArticleResearchpeer review

Dimitri R, De Lorenzis L, Wriggers P, Zavarise G. NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding. Computational mechanics. 2014 Feb 20;54(2):369-388. doi: 10.1007/s00466-014-0991-7
Dimitri, R. ; De Lorenzis, L. ; Wriggers, P. et al. / NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding. In: Computational mechanics. 2014 ; Vol. 54, No. 2. pp. 369-388.
Download
@article{b2db21e46366487ebb2c1ced7cff60b3,
title = "NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding",
abstract = "Cohesive zone (CZ) models have long been used by the scientific community to analyze the progressive damage of materials and interfaces. In these models, non-linear relationships between tractions and relative displacements are assumed, which dictate both the work of separation per unit fracture surface and the peak stress that has to be reached for the crack formation. This contribution deals with isogeometric CZ modeling of interface debonding. The interface is discretized with generalized contact elements which account for both contact and cohesive debonding within a unified framework. The formulation is suitable for non-matching discretizations of the interacting surfaces in presence of large deformations and large relative displacements. The isogeometric discretizations are based on non uniform rational B-splines as well as analysis-suitable T-splines enabling local refinement. Conventional Lagrange polynomial discretizations are also used for comparison purposes. Some numerical examples demonstrate that the proposed formulation based on isogeometric analysis is a computationally accurate and efficient technology to solve challenging interface debonding problems in 2D and 3D.",
keywords = "Cohesive zone modeling, Contact, Debonding, Isogeometric analysis, NURBS, T-splines",
author = "R. Dimitri and {De Lorenzis}, L. and P. Wriggers and G. Zavarise",
note = "Funding information: The authors at the Universit{\`a} del Salento and at the Technische Universit{\"a}t Braunschweig have received funding for this research from the European Research Council under the European Union{\textquoteright}s Seventh Framework Programme (FP7/2007-2013), ERC Starting Researcher Grant “INTERFACES”, Grant Agreement No. 279439.",
year = "2014",
month = feb,
day = "20",
doi = "10.1007/s00466-014-0991-7",
language = "English",
volume = "54",
pages = "369--388",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "2",

}

Download

TY - JOUR

T1 - NURBS- and T-spline-based isogeometric cohesive zone modeling of interface debonding

AU - Dimitri, R.

AU - De Lorenzis, L.

AU - Wriggers, P.

AU - Zavarise, G.

N1 - Funding information: The authors at the Università del Salento and at the Technische Universität Braunschweig have received funding for this research from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007-2013), ERC Starting Researcher Grant “INTERFACES”, Grant Agreement No. 279439.

PY - 2014/2/20

Y1 - 2014/2/20

N2 - Cohesive zone (CZ) models have long been used by the scientific community to analyze the progressive damage of materials and interfaces. In these models, non-linear relationships between tractions and relative displacements are assumed, which dictate both the work of separation per unit fracture surface and the peak stress that has to be reached for the crack formation. This contribution deals with isogeometric CZ modeling of interface debonding. The interface is discretized with generalized contact elements which account for both contact and cohesive debonding within a unified framework. The formulation is suitable for non-matching discretizations of the interacting surfaces in presence of large deformations and large relative displacements. The isogeometric discretizations are based on non uniform rational B-splines as well as analysis-suitable T-splines enabling local refinement. Conventional Lagrange polynomial discretizations are also used for comparison purposes. Some numerical examples demonstrate that the proposed formulation based on isogeometric analysis is a computationally accurate and efficient technology to solve challenging interface debonding problems in 2D and 3D.

AB - Cohesive zone (CZ) models have long been used by the scientific community to analyze the progressive damage of materials and interfaces. In these models, non-linear relationships between tractions and relative displacements are assumed, which dictate both the work of separation per unit fracture surface and the peak stress that has to be reached for the crack formation. This contribution deals with isogeometric CZ modeling of interface debonding. The interface is discretized with generalized contact elements which account for both contact and cohesive debonding within a unified framework. The formulation is suitable for non-matching discretizations of the interacting surfaces in presence of large deformations and large relative displacements. The isogeometric discretizations are based on non uniform rational B-splines as well as analysis-suitable T-splines enabling local refinement. Conventional Lagrange polynomial discretizations are also used for comparison purposes. Some numerical examples demonstrate that the proposed formulation based on isogeometric analysis is a computationally accurate and efficient technology to solve challenging interface debonding problems in 2D and 3D.

KW - Cohesive zone modeling

KW - Contact

KW - Debonding

KW - Isogeometric analysis

KW - NURBS

KW - T-splines

UR - http://www.scopus.com/inward/record.url?scp=84905584020&partnerID=8YFLogxK

U2 - 10.1007/s00466-014-0991-7

DO - 10.1007/s00466-014-0991-7

M3 - Article

AN - SCOPUS:84905584020

VL - 54

SP - 369

EP - 388

JO - Computational mechanics

JF - Computational mechanics

SN - 0178-7675

IS - 2

ER -

By the same author(s)