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

authored by: R. Dimitri, L. De Lorenzis, P. Wriggers, G. Zavarise
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.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): University of Salento
Technische Universität Braunschweig
Type: Article
Journal: Computational mechanics
Volume: 54
Pages: 369-388
No. of pages: 20
ISSN: 0178-7675
Publication date: 20.02.2014
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/s00466-014-0991-7 (Access: Closed)
: Details in the research portal "Research@Leibniz University"

BibTeX

@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",
}