# Mathematical model of elastic crack interaction and two-dimensional finite element analysis based on Griffith energy release rate

R. Daud, A. K. Ariffin, S. Abdullah, M. S A Majid, M. A. Rojan

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

### Abstract

Stress shielding interaction effect of two parallel edge cracks in finite body under uniaxial loading is analysed using developed finite element (FE) analysis program. In present study, the stress shielding interaction is formulated as a mathematical model called stress shielding damage (SSD) model. SSD model used to define the combination and re-characterization of crack interaction from multiple cracks to single crack. Focus is given to weak crack interaction state as the crack interval exceed the length of cracks (b > a). The crack interaction factors are evaluated based on Griffith strain energy release rate and mode I SIF using J-integral analysis. For validation, the stress shielding factor parameters are compared to single edge crack SIF as a state of zero interaction in a form of crack unification limit (CUL) and crack interaction limit (CIL).

Original language English Advanced Materials Research 587-590 4 795 https://doi.org/10.4028/www.scientific.net/AMR.795.587 Published - 2013 2nd International Conference on Sustainable Materials, ICoSM 2013 - PenangDuration: 26 Mar 2013 → 27 Mar 2013

### Publication series

Name Advanced Materials Research 795 10226680

### Other

Other 2nd International Conference on Sustainable Materials, ICoSM 2013 Penang 26/3/13 → 27/3/13

### Fingerprint

Energy release rate
Mathematical models
Cracks
Finite element method
Shielding
Strain energy

### Keywords

• Crack interaction
• Interacting cracks
• Stress shielding effects

### ASJC Scopus subject areas

• Engineering(all)

### Cite this

Daud, R., Ariffin, A. K., Abdullah, S., Majid, M. S. A., & Rojan, M. A. (2013). Mathematical model of elastic crack interaction and two-dimensional finite element analysis based on Griffith energy release rate. In Advanced Materials Research (Vol. 795, pp. 587-590). (Advanced Materials Research; Vol. 795). https://doi.org/10.4028/www.scientific.net/AMR.795.587
Advanced Materials Research. Vol. 795 2013. p. 587-590 (Advanced Materials Research; Vol. 795).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Daud, R, Ariffin, AK, Abdullah, S, Majid, MSA & Rojan, MA 2013, Mathematical model of elastic crack interaction and two-dimensional finite element analysis based on Griffith energy release rate. in Advanced Materials Research. vol. 795, Advanced Materials Research, vol. 795, pp. 587-590, 2nd International Conference on Sustainable Materials, ICoSM 2013, Penang, 26/3/13. https://doi.org/10.4028/www.scientific.net/AMR.795.587
Daud, R. ; Ariffin, A. K. ; Abdullah, S. ; Majid, M. S A ; Rojan, M. A. / Mathematical model of elastic crack interaction and two-dimensional finite element analysis based on Griffith energy release rate. Advanced Materials Research. Vol. 795 2013. pp. 587-590 (Advanced Materials Research).
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