Integral formulation for a circular cylindrical cavity in infinite solid and a finite length coaxial cylindrical crack compressed axially

A method for solving problems of fracture of an infinite solid with a circular cylindrical cavity and a coaxial cylindrical crack near the surface under an uniform axial compression is proposed using a non-classical criterial approach associated with a mechanism of a local stability loss near the de...

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Bibliographic Details
Published in:Theoretical and applied fracture mechanics 2006-06, Vol.45 (3), p.204-211
Main Authors: Guz, A.N., Khoma, Yu.I.
Format: Article
Language:English
Subjects:
Axial compression
Coaxial subsurface cylindrical crack
Exact sciences and technology
Fracture mechanics (crack, fatigue, damage...)
Fundamental areas of phenomenology (including applications)
Loading along a defect
Local stability loss
Non-classical fracture mechanics
Physics
Solid mechanics
Structural and continuum mechanics
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Summary:A method for solving problems of fracture of an infinite solid with a circular cylindrical cavity and a coaxial cylindrical crack near the surface under an uniform axial compression is proposed using a non-classical criterial approach associated with a mechanism of a local stability loss near the defect. The theory of integral Fourier transforms and series expansions are used to reduce these problems to a system of paired integral equations and then to a system of linear algebraic equations with respect to the contraction parameter.
ISSN:0167-8442
1872-7638
DOI:10.1016/j.tafmec.2006.03.004