Analysis of two intersecting three-dimensional cracks by a BIEM

Hypersingular integral equations for two intersecting three-dimensional cracks are derived by using Somigliana formula, in which the unknown functions are the displacement discontinuities on the crack-surfaces. The singularity of the unknowns at the crack-front is analyzed by the analytical asymptot...

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Bibliographic Details
Published in:Acta mechanica 2015-12, Vol.226 (12), p.4043-4057
Main Authors: Zhang, L. N., Qin, T. Y., Xu, C. H., Zhang, Ch
Format: Article
Language:English
Subjects:
Asymptotic methods
Civil engineering
Classical and Continuum Physics
Control
Cracks
Discontinuity
Dynamical Systems
Engineering
Engineering Thermodynamics
Heat and Mass Transfer
Integral equations
Mathematical analysis
Mathematical models
Mechanical engineering
Original Paper
Shear stress
Singularities
Solid Mechanics
Theoretical and Applied Mechanics
Three dimensional
Vibration
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Summary:Hypersingular integral equations for two intersecting three-dimensional cracks are derived by using Somigliana formula, in which the unknown functions are the displacement discontinuities on the crack-surfaces. The singularity of the unknowns at the crack-front is analyzed by the analytical asymptotic method, and the analytical solutions of the singular stresses near the crack-front are given. Numerical solutions of the stress intensity factors for some examples are presented and discussed.
ISSN:0001-5970
1619-6937
DOI:10.1007/s00707-015-1469-1