The anisotropic R-criterion for crack initiation

The anisotropic nature of mixed modes I–II crack tip plastic core region and crack initiation is investigated in this study using an angled crack plate problem under various loading conditions. Hill’s anisotropic yield criterion along with singular elastic stress field at the crack tip is employed t...

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Bibliographic Details
Published inEngineering fracture mechanics Vol. 75; no. 14; pp. 4257 - 4278
Main Authors Khan, Shafique M.A., Khraisheh, Marwan K.
Format Journal Article
LanguageEnglish
Published Tarrytown, NY Elsevier Ltd 01.09.2008
Oxford Elsevier
Subjects
Anisotropy
Crack initiation
Crack tip plasticity
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Inelasticity (thermoplasticity, viscoplasticity...)
Mixed mode fracture
Physics
Solid mechanics
Static elasticity (thermoelasticity...)
Stress intensity factor
Structural and continuum mechanics
Crack tip plasticity
Stress intensity factor
Anisotropy
Mixed mode fracture
Crack initiation
Plastic anisotropy
Singularity
Stress analysis
Mode coupling
Cracked plate
Biaxial stress
Yield criterion
Mechanical properties
Modeling
Plasticity zone
Plane strain
Crack length
Crack tip
Anisotropy;Crack initiation;Crack tip plasticity;Mixed mode fracture;Stress intensity factor
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Summary:The anisotropic nature of mixed modes I–II crack tip plastic core region and crack initiation is investigated in this study using an angled crack plate problem under various loading conditions. Hill’s anisotropic yield criterion along with singular elastic stress field at the crack tip is employed to obtain the non-dimensional variable-radius crack tip plastic core region. In addition, the R-criterion for crack initiation proposed by the authors for isotropic materials is also extended to include anisotropy. The effect of Hill’s anisotropic constants on the shape and size of the crack tip plastic core region and crack initiation angle is presented for both plane stress and plane strain conditions at the crack tip. The study shows a significant effect of anisotropy on the crack tip core region and crack initiation angle and calls for further development of anisotropic crack initiation theory.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
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ISSN:0013-7944
1873-7315
DOI:10.1016/j.engfracmech.2008.04.002