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Finite deformation near a crack tip terminated at an interface between two neo-Hookean sheets
Chengyang Mo1, Jordan R Raney1, John L Bassani1
1Department of Mechanical Engineering and Applied Mechanics, University of Pennsylvania Philadelphia, PA, USA, 19104.
Abstract:
A crack terminating at an arbitrary angle to the interface between two neo-Hookean sheets is investigated under plane stress conditions using finite deformation theory. The asymptotic crack-tip deformation and stress fields are analyzed as a function of the ratio of the moduli and the angle of the crack relative to the interface. Full-held numerical calculations and experimental studies validate the analytical results. A stretch-based crack growth criterion is developed using crack-tip held solutions. Such criterion can predict the delay of crack growth through the bi-material interface observed in experiments and can be extended to any heterogeneity and material.
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