Vol. 5, No. 2, 2010

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ISSN: 1559-3959
A critical analysis of interface constitutive models for the simulation of delamination in composites and failure of adhesive bonds

Anton Matzenmiller, Sebastian Gerlach and Mark Fiolka

Vol. 5 (2010), No. 2, 185–211
Abstract

Delamination in layered composites and debonding in adhesive joints are modeled and analyzed using interfacial mechanics, consisting of interface elements for the kinematical assumption and traction-separation equations for the constitutive model. Material equations are presented for the inelastic behavior of pure and ductile-modified epoxy resins, used for the matrix phase of the composite and in a chemically modified form for the adhesive in bonded structures.

Two different modeling approaches are proposed. The first is a brittle fracture model with a stress-based failure criterion and rate-dependent strength parameters together with a mixed-mode energy criterion for the interaction of the three different modes of failure. The second makes use of an elastic-plastic approach with a traction-separation equation for ductile materials and rate-dependent yield stresses.

Standard tests for the delamination of layered composites under various modes of failure are simulated by making use of the interface element for bonding/debonding. The model for the inelastic behavior of a thin layer of the structural adhesive is validated up to fracture for various modes of failure due to pure and combined loading in the normal and shear directions. Therefore, the relevant part of the experimental setup for the testing is meshed with finite elements and the results of the simulation are compared to the corresponding test data.

Keywords
adhesive models, structural bonding, delamination, crash analysis, interface element, traction-separation model, adhesively bonded joints, simulation of failure, plasticity, mixed-mode fracture
Milestones
Received: 23 January 2008
Accepted: 26 August 2009
Published: 30 August 2010
Authors
Anton Matzenmiller
Institute of Mechanics
Department of Mechanical Engineering
University of Kassel
Mönchebergstraße 7
34109 Kassel
Germany
Sebastian Gerlach
Institute of Mechanics
Department of Mechanical Engineering
University of Kassel
Mönchebergstraße 7
34109 Kassel
Germany
Mark Fiolka
Institute of Mechanics
Department of Mechanical Engineering
University of Kassel
Mönchebergstraße 7
34109 Kassel
Germany