Tilting cracks : the evolution of fracture surface topology in brittle solids

For a growing crack, the conventional definitions of tilting and twisting are inadequate. New definitions are proposed, based on differential geometry, and it is shown that, in homogeneous, brittle solids, (e.g. epoxy resins), non-planar crack growth must occur entirely by tilting movements. Example...

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Bibliographic Details
Published inInternational journal of fracture Vol. 62; no. 2; pp. 119 - 138
Main Author HULL, D
Format Journal Article
LanguageEnglish
Published Heidelberg Springer 15.07.1993
Subjects
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Physics
Solid mechanics
Structural and continuum mechanics
Brittle material
Curved surface
Topology
Fractography
Differential geometry
Crack propagation
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Summary:For a growing crack, the conventional definitions of tilting and twisting are inadequate. New definitions are proposed, based on differential geometry, and it is shown that, in homogeneous, brittle solids, (e.g. epoxy resins), non-planar crack growth must occur entirely by tilting movements. Examples are given of the growth of cracks on curved surfaces which illustrate that the no-twist condition produces significant constraints on the path of fracture. The development of fracture surfaces when cracks are subject to mixed-mode loading conditions are described with particular reference to the influence of mode III, twisting conditions. It is shown that the requirement that only tilting can occur leads to many characteristic fractographic features.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0376-9429
1573-2673
DOI:10.1007/BF00035157