ELASTOPLASTIC FRACTURE OF A PLATE WITH TWO EDGE CRACKS

The strength of a rectangular plate with two opening-mode (mode I) edge cracks was studied using the Neuber–Novozhilov approach and a modified Leonov–Panasyuk–Dugdale model with a nonzero prefracture zone. A coupled discrete-integral fracture criterion is used since the stress field in the vicinity...

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Bibliographic Details
Published in:Journal of applied mechanics and technical physics 2023-06, Vol.64 (3), p.523-530
Main Authors: Astapov, N. S., Kurguzov, V. D.
Format: Article
Language:English
Subjects:
Applications of Mathematics
Classical and Continuum Physics
Classical Mechanics
Constitutive equations
Constitutive relationships
Crack tips
Cracking (fracturing)
Criteria
Ductile fracture
Ductile-brittle transition
Edge cracks
Elastoplasticity
Fluid- and Aerodynamics
Mathematical Modeling and Industrial Mathematics
Mathematical models
Mechanical Engineering
Normal stress
Physics
Physics and Astronomy
Rectangular plates
Stress distribution
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Summary:The strength of a rectangular plate with two opening-mode (mode I) edge cracks was studied using the Neuber–Novozhilov approach and a modified Leonov–Panasyuk–Dugdale model with a nonzero prefracture zone. A coupled discrete-integral fracture criterion is used since the stress field in the vicinity of the crack tip has a singularity. The ultimate strain fracture criterion is satisfied at the real crack tip, and the normal stress criterion is satisfied at the model crack tip. The constitutive equations of the analytical model are analyzed. Simple formulas for the fracture load are derived for quasi-brittle and quasi-ductile fracture. Plate fracture curves are plotted for a plane stressed state.
ISSN:0021-8944
1573-8620
DOI:10.1134/S0021894423030185