An Improved Cohesive Zone Model for Interface Mixed-Mode Fractures of Railway Slab Tracks
Abstract
:1. Introduction
2. Original Models
2.1. Original PPR Model
2.2. Unloading/Reloading Relationship
3. Simplified PPR Traction–Separation Law
3.1. Modification
3.2. Path Dependence of Work-of-Separation
3.2.1. Proportional Separation
3.2.2. Non-Proportional Separation
3.3. Mixed-Mode Bending (MMB) Test Verification
4. Improved Unloading/Reloading Relationship
4.1. Modification
4.2. Comparison
5. Application
6. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Acknowledgments
Conflicts of Interest
Nomenclature
potential function for cohesive fracture | |
, | normal and tangential separation |
, | maximum normal and tangential separations in a loading history |
, | state variables for maximum normal and tangential traction |
, | normal and tangential separations at step i |
, | mode I and mode II fracture energy |
, | energy constants in the PPR model |
, | normal and tangential final crack opening widths |
, | normal and tangential separation for peak traction |
, | shape parameter |
, | exponents |
, | normal and tangential tractions |
, | normal and tangential tractions for the unloading/reloading relation |
, | normal and tangential cohesive strength |
, | initial slope indicators in the PPR model |
, | normal and tangential conjugate final crack opening widths |
separation angle between the path direction and tangent | |
Δ | magnitude of applied during preloading |
separation for proportional path | |
, | maximum normal and tangential separations |
work-of-separation | |
work conducted by the normal and tangential cohesive traction |
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Zhong, Y.; Gao, L.; Cai, X.; An, B.; Zhang, Z.; Lin, J.; Qin, Y. An Improved Cohesive Zone Model for Interface Mixed-Mode Fractures of Railway Slab Tracks. Appl. Sci. 2021, 11, 456. https://doi.org/10.3390/app11010456
Zhong Y, Gao L, Cai X, An B, Zhang Z, Lin J, Qin Y. An Improved Cohesive Zone Model for Interface Mixed-Mode Fractures of Railway Slab Tracks. Applied Sciences. 2021; 11(1):456. https://doi.org/10.3390/app11010456
Chicago/Turabian StyleZhong, Yanglong, Liang Gao, Xiaopei Cai, Bolun An, Zhihan Zhang, Janet Lin, and Ying Qin. 2021. "An Improved Cohesive Zone Model for Interface Mixed-Mode Fractures of Railway Slab Tracks" Applied Sciences 11, no. 1: 456. https://doi.org/10.3390/app11010456