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Stage: Linear elastic interface
σ̄yy = 0 MPa
Remote stress vs. debond response
$\bar{\sigma}_{yy}$–opening
Current
Initiation
0
elastic
initiation ≈ 14
debond
40
$\bar{\sigma}_{yy}$:
0.0 MPa
Debond length $\ell_d$:
0.0 mm
Peak interface $\tau$:
0.00 MPa
Bonded fraction:
100%
State:
Linear elastic
Interface traction along fiber $\tau(s)$
$s=0$ at fiber center · tips at $\pm \ell_f/2$
Shear traction–slip law
Linear elastic → $\tau_c$ → softening → residual
Geometry & BCs (as in schematic)
- Plate: square domain of side $L=100$ mm
- Fiber: centered segment, length $\ell_f=0.4L$, orientation $\bar{\theta}$
- Bottom: supported (vertical restraint)
- Top: uniform remote tension $\bar{\sigma}_{yy}$
Interface stages
- Linear elastic: $\tau = K_s\, \delta_t$ while $\tau<\tau_c$
- Initiation: peaks near fiber tips under remote tension
- Debonding: fronts grow from both tips toward the center
- Green = bonded · amber = softening · rose = debonded