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Influence of root curvature on the fracture energy of adhesive layers
2009 (English)In: Engineering Fracture Mechanics, ISSN 0013-7944, E-ISSN 1873-7315, Vol. 76, no 13, 2025-2038 p.Article in journal (Refereed) Published
Abstract [en]

Previously performed experiments to study the mode I behavior of an adhesive layer revealed an apparent increase in the fracture toughness when the adherends deformed plastically. Attempts to simulate the experiments are made; both with elastically and plastically deforming adherends. Thus, effects of the size of the process zone and the deformation of the adherends are revealed. The adhesive layer is modeled using finite elements with different approaches; cohesive elements and representative volume elements. The adherends are modeled with solid elements. With a long process zone, all models give good results as compared to the experiments. However, only the model with representative volume elements gives good agreement for large root curvatures and correspondingly short process zones. The results are interpreted by analyzing the deformation and mechanisms of crack propagation in the representative volume elements. It is shown that with large root curvature of the adherends, the in-plane stretching of the adhesive layer gives a substantial contribution to the fracture energy. A simple formula is derived and shown to give an accurate prediction of the effects of the root curvature. This result indicates the limits of conventional cohesive zone modeling of an adhesive layer of finite thickness.

Place, publisher, year, edition, pages
Elsevier, 2009. Vol. 76, no 13, 2025-2038 p.
Keyword [en]
Double cantilever beam; Representative volume element; Process zone; Adhesive; Fracture energy
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:hj:diva-24120DOI: 10.1016/j.engfracmech.2009.05.010OAI: oai:DiVA.org:hj-24120DiVA: diva2:726086
Available from: 2014-06-17 Created: 2014-06-17 Last updated: 2015-11-13
In thesis
1. Meso-Mechanical Modeling and Analysis of Adhesive Layers
Open this publication in new window or tab >>Meso-Mechanical Modeling and Analysis of Adhesive Layers
2007 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

This thesis is concerned with the modeling, simulation and analysis of adhesive layers. By use of an in situ scanning electron microscopy study it is found that the adhesive studied in the present thesis has a very complex structure with two different compounds, a mineral and an epoxy/thermoplastic blend. A representative volume element (RVE) model is developed to study the behavior of the adhesive layer at the meso-level. It is a continuum model where interface finite elements are implemented at the boundaries of the continuum elements in order to enable crack initiation and propagation of micro cracks. On a structural level, two deformation modes, modes I and II, dominate the behavior of thin adhesive layers. With the RVE it is possible reproduce experimental stress-deformation relations from both modes. However, in a real structure, mixed mode loading usually occur. A range of mode mixes is studied, using the RVE, from an un-loaded state until fracture of the layer. The results indicate that the behavior of the interface elements dominate for mode mixes close to mode I and plasticity in the continuum elements dominates for mode II dominated mode mixes. Furthermore, effects of large root curvatures of the adherends is analyzed numerically by simulating plastically deforming double cantilever beam specimens using the finite element model. The developed RVE is implemented in the models to simulate the behavior of the adhesive layer. By this methodology, virtual experiments can be analyzed with extreme detail. It is shown that in-plane straining of the adhesive layer significantly influences the strength of adhesive joints at large plastic strain of the adherends. There is a never ending need in industries to minimize computational time. To this end, an interphase finite element for structural analyses is developed. The element considers in-plane straining of the adhesive layer due to large curvatures of surrounding substrates.

Place, publisher, year, edition, pages
Göteborg: Chalmers tekniska högskola, 2007. 13 p.
National Category
Mechanical Engineering
Identifiers
urn:nbn:se:hj:diva-24122 (URN)978-91-7291-998-3 (ISBN)
Public defence
2007-10-04, Hörsalsvägen 2b, Göteborg, 13:00 (Swedish)
Opponent
Supervisors
Available from: 2015-02-05 Created: 2014-06-17 Last updated: 2015-02-05Bibliographically approved

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