Abstract
To examine the crack propagation in quasi-brittle materials, cohesive models have been suggested by the works of researcher. They treat the existence of a process zone at the crack tip, with a suitable constitutive law, linking the tensile normal stress T and the relative displacement among the two crack edges. In this paper, we employed the cohesive model which examines the mode I interlaminar fracture into stitched reinforced composite laminates. The test configuration that we used in this study was a stitched reinforced double cantilever beam samples. A bilinear damage-rate-dependent cohesive traction–separation law is implemented to design the woven composite fracture and discrete nonlinear spring elements to characterize the stitches influence, its advantages and disadvantages. A novel macroscopic law adopted from a 1D micromechanical-stitching model is invented to model the stitches effect along the interface. The numerical simulations of double cantilever beam test with the present model present a significant agreement compared to the experimental results.
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Abbreviations
- (εy, σy), (εr, σr):
-
Yield coordinates and failure coordinates
- δ :
-
Equivalent displacement
- \(\delta_{0}^{\text{fibre}}\) :
-
Elongation of the fiber before loosening
- δ 0 :
-
The beginning of displacement jump
- δ f :
-
The final displacement jump
- Δ i :
-
Components displacement jump vector
- \(\varDelta_{i}^{0}\) :
-
Pure mode i onset displacements jumps
- G c :
-
Critical energy release rate
- G i :
-
Energy release rate in mode i
- G ic :
-
The critical energy release rate for mode i (i = I, II, III)
- G ii :
-
Initial energy release rate in mode i (i = I, II, III)
- J :
-
Rice integral
- ks and kn :
-
Shear and tensile stiffness
- Kαc (α= I, II, III):
-
Critical stress intensity factor relating to the cracking mode α
- Kα (α= I, II, III):
-
Stress intensity factor relating to the cracking mode α
- s :
-
Standardized time variable
- S(0):
-
Displacement of spring
- t i :
-
Constraints vector components
- t :
-
Vector of interfacial constraints
- t global :
-
Represents the vector of the constraints presented in the global coordinate system
- t local :
-
Vector of the constraints written in the local coordinate system (median plane)
- Δ :
-
The displacement jump vector
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Tarfaoui, M., Hamitouche, L., Khammassi, S. et al. Examination of the Delamination of a Stitched Laminated Composite with Experimental and Numerical Analysis Using Mode I Interlaminar. Arab J Sci Eng 45, 5873–5882 (2020). https://doi.org/10.1007/s13369-020-04599-z
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DOI: https://doi.org/10.1007/s13369-020-04599-z