An energetic criterion for a micro-crack of finite length initiated in orthotropic bi-material notches

The singular stress field at the tip of a bi-material orthotropic notch may cause the initiation of micro-cracks into one of its material part. Assuming the plane elasticity of the anisotropic media, the Lekhnitskii–Eshelby–Stroh formalism is used to express the characteristics of the singular stres...

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Bibliographic Details
Published in:Engineering fracture mechanics 2013-09, Vol.110, p.396-409
Main Authors: Profant, T., Klusák, J., Ševeček, O., Hrstka, M., Kotoul, M.
Format: Article
Language:English
Subjects:
Asymptotic expansions
Bi-material notch
Complex potentials
Criteria
Finite crack increment
Formalism
Fracture mechanics
LES formalism
Matched asymptotic expansion
Mathematical analysis
Microcracks
Notches
Orthotropy
Singular stress fields
Two-state integral
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Summary:The singular stress field at the tip of a bi-material orthotropic notch may cause the initiation of micro-cracks into one of its material part. Assuming the plane elasticity of the anisotropic media, the Lekhnitskii–Eshelby–Stroh formalism is used to express the characteristics of the singular stress field at the notch tip, the auxiliary solution necessary for the calculation of the contour-independent integrals and consequently generalized stress intensity factors. The matched asymptotic expansion analysis is used to evaluate the fracture energy release rate which allows one to assess the potential direction of a crack and establish the fracture criterion based on the theory of the finite fracture mechanics.
ISSN:0013-7944
1873-7315
DOI:10.1016/j.engfracmech.2013.08.014