Limiting Equilibrium of a Piecewise-Homogeneous Body with Shear Cracks at the Corner Point of the Interface

Limiting Equilibrium of a Piecewise-Homogeneous Body with Shear Cracks at the Corner Point of the Interface

The Wiener–Hopf method is used to find the exact analytical solution of the problem of fracture mechanics for a piecewise-homogeneous isotropic elastic body with shear cracks at the corner point of the interface. The behavior of the stress concentration at the crack tip is established. The growth co...

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Veröffentlicht in:International applied mechanics 2022-09, Vol.58 (5), p.497-509
Hauptverfasser: Nazarenko, V. M., Kipnis, O. L.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Applications of Mathematics
Crack propagation
Crack tips
Cracking (fracturing)
Elastic bodies
Engineering
Exact solutions
Fracture mechanics
Laminated materials
Stability analysis
Stress concentration
Wiener-Hopf method
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Zusammenfassung:The Wiener–Hopf method is used to find the exact analytical solution of the problem of fracture mechanics for a piecewise-homogeneous isotropic elastic body with shear cracks at the corner point of the interface. The behavior of the stress concentration at the crack tip is established. The growth condition for the cracks is determined and the stability of their equilibrium is analyzed.
ISSN:1063-7095
1573-8582
DOI:10.1007/s10778-023-01175-4