Comparison of predictions by mode II or mode III criteria on crack front twisting in three or four point bending ... View Full Text


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Article Info

DATE

2008-10

AUTHORS

V. Lazarus, F.-G. Buchholz, M. Fulland, J. Wiebesiek

ABSTRACT

Whatever the external loading, a crack front in a solid tries to reach mode I loading conditions after propagation. In mode I + II, the crack kinks to annihilate mode II, kinking angle being well predicted by the principle of local symmetry (PLS) or by the maximum tangential stress criterion (MTS). In presence of mode III, the problem becomes three-dimensional and the proposed propagation criterion are not yet well proved and established. In particular in three point bending experiments (3PB) with an initially inclined crack, the crack twists around the direction of propagation to finally reach a situation of pure mode I. The aim of the paper is to compare the propagation paths predicted by two different criteria for 3PB fatigue experiments performed on PMMA. The first criterion developed by Schollmann et al. (Int J Fract 117(2):129–141, 2002), is a three-dimensional extension of the MTS criterion and predicts the local angles that annihilates mode II and III at each point of the front. The second one developed by Lazarus et al. (J Mech Phys Solids 49(7):1421–1443, 2001b), predicts an abrupt and then progressive twisting of the front to annihilate mode III. Due to presence of sign changing mode II and almost uniform mode III in the experiments, both criteria give good results. However, since mode III is predominant over mode II in the case under consideration, the global criterion gives better results. Nevertheless, the local type criterion seems to be of greater universality for practical engineering applications. More... »

PAGES

141-151

References to SciGraph publications

  • 1974-12. Brittle fracture of solids with arbitrary cracks in INTERNATIONAL JOURNAL OF FRACTURE
  • 1993-07. Tilting cracks: the evolution of fracture surface topology in brittle solids in INTERNATIONAL JOURNAL OF FRACTURE
  • 2002-09. A new criterion for the prediction of crack development in multiaxially loaded structures in INTERNATIONAL JOURNAL OF FRACTURE
  • Journal

    TITLE

    International Journal of Fracture

    ISSUE

    2

    VOLUME

    153

    Author Affiliations

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s10704-008-9307-2

    DOI

    http://dx.doi.org/10.1007/s10704-008-9307-2

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1003851297


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