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On the ability of coupled mixed mode cohesive laws to conform to LEFM for cracks in homogeneous orthotropic solids
University of Skövde, School of Engineering Science. University of Skövde, The Virtual Systems Research Centre. (Materialmekanik, Mechanics of Materials)
University of Skövde, School of Engineering Science. University of Skövde, The Virtual Systems Research Centre. (Materialmekanik, Mechanics of Materials)
University of Skövde, School of Engineering Science. University of Skövde, The Virtual Systems Research Centre. (Materialmekanik, Mechanics of Materials)ORCID iD: 0000-0003-0787-4942
2016 (English)In: Engineering Fracture Mechanics, ISSN 0013-7944, E-ISSN 1873-7315, Vol. 163, 426-448 p.Article in journal (Refereed) Published
Abstract [en]

The ability of coupled cohesive laws to conform to the predictions of linear elastic fracturemechanics (LEFM) in the case of small-scale-yielding (SSY) is explored. The study is concerned with cracks in homogeneous orthotropic solids and the results apply also for the case of isotropy. Both potential based and non-potential based cohesive laws are considered. It is shown that the initial stiffnesses of the cohesive law must be matched to the elastic moduli of the orthotropic solid in order to achieve a constant ratio of the cohesive stress components ahead of the crack tip. A simple condition for this is provided. For non potential based laws an additional apparently sufficient condition on the non-linear part of the cohesive law is identified: The traction vector must not change direction if the directionof the separation vector is constant. Fulfillment of this condition provides a uniform local mode mix in the cohesive zone with a value equal to the global mode mix. It is demonstrated that potential based cohesive laws display a varying local mode mix at the crack tip for cases with a mode dependent work of separation. This is identified as acomplicating feature in terms of calibrating the parameters of a cohesive law to experimental data.

Place, publisher, year, edition, pages
Elsevier, 2016. Vol. 163, 426-448 p.
Keyword [en]
Composites, Cohesive zone modelling, Finite element analysis, Delamination, Mixed mode fracture
National Category
Applied Mechanics
Research subject
Technology
Identifiers
URN: urn:nbn:se:his:diva-12855DOI: 10.1016/j.engfracmech.2016.05.018ISI: 000383309500027ScopusID: 2-s2.0-84989957760OAI: oai:DiVA.org:his-12855DiVA: diva2:956915
Projects
MDC
Funder
Knowledge Foundation
Available from: 2016-08-31 Created: 2016-08-31 Last updated: 2016-10-25Bibliographically approved

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Svensson, DanielAlfredsson, K. SvanteStigh, Ulf
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