Cohesive Zone Modeling for Adhesives



Adhesives are very widely used in industry. In each application field, the adhesive that is used must fulfill specific requirements. Adhesive types can be classified for instance by their (thermo-) mechanical properties, their machining or their curing conditions. This paper describes, by way of example, the characterization criteria for structural and flexible adhesives with respect to differences in their mechanical properties under various test conditions such as loading rate or environmental temperature.

For further increased industrial application of adhesives, for example to improve the crash performance of cars, the ability to predict the mechanical behavior by numerical simulation is required. Cohesive Zone Models (CZMs) are well suited for modeling adhesives. In this paper a tri-linear, strain-rate dependent CZM is presented. This model is compared to the bi-linear, strain-rate independent model implemented in ABAQUSTM.

The parameters of these models are determined by direct testing of tensile bulk, tapered double cantilever beam, lap-shear and T-peel specimens. The model validation was carried out by comparing experiment results and simulations for a Ushaped specimen under different loading velocities. The application of these CZMs in offset crash test simulations is presented and compared to experimental data.


Adhesive Layer Cohesive Zone Adhesive Joint Double Cantilever Beam Cohesive Zone Model 
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The authors acknowledge the contributions from H. Werner (BMW Group) to this paper. Furthermore we thank O. Hesebeck, O. Klapp (Fraunhofer IFAM) and M. Sauer (Fraunhofer EMI) for their support.


  1. 1.
    Brede M, Heise F-J (2008) Methodenentwicklung zur Berechnung von höherfesten Stahlklebverbindungen des Fahrzeugbaus unter Crashbelastung. FOSTA-project P676, Düsseldorf.Google Scholar
  2. 2.
    Marzi S, Hesebeck O, Brede M, and Kleiner F (2009) A rate-dependent cohesive zone model for adhesive layers loaded in mode I, J. Adh. Sc. Tech. 23:881–898CrossRefGoogle Scholar
  3. 3.
    Marzi S, Hesebeck O, Brede M, and Kleiner F (2009) An end-loaded shear joint (ELSJ) specimen to measure the critical energy release rate of tough, structural adhesives in mode II, J. Adh. Sc. Tech., submitted for publication.Google Scholar
  4. 4.
    Alfano G (2006) On the influence of the shape of the interface law on the application of cohesive zone models, CST, 66:723–730.CrossRefGoogle Scholar
  5. 5.
    Camanho PP and Davila CG (2002) Mixed-mode decohesion elements for the simulation of delamination in composite materials, NASA TM-2002-211739.Google Scholar
  6. 6.
    Benzeggagh ML and Kenane M (1996) Measurement of mixed-mode delamination fracture toughness of unidirectional glass/epoxy composites with mixed-mode bending apparatus, CST 56:439–449.CrossRefGoogle Scholar
  7. 7.
    Johnson GR and Cook WH (1983) A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures, Proceedings International Symposium on Ballistics.Google Scholar

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© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Fraunhofer Institut für KurzzeitdynamikErnst-Mach-Institut (EMI)FreiburgGermany
  2. 2.Fraunhofer Institut für Fertigungstechnik und Angewandte Materialforschung (IFAM)D-28359 BremenGermany

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