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Time-dependent damage — Perzyna

A tapered plane-strain specimen under prescribed compression with gradient-enhanced exponential damage. The constitutive response is rate-dependent (Perzyna). Step through the stored history to see the damage band localise.

Read the localization discussion · Metal plasticity · Phase-field fracture

Time-dependent damage — deformed mesh

2d_Perzyna · gradient-enhanced damage (exp) · Q4 tapered specimen

Source: Final_8.mat · damage history from dd_hist

Saved damage history: 40 snapshots across 400 steps. Intermediate shape is reconstructed by scaling the final displacement, not taken from a full displacement history. Negative top UY denotes compression; playback speed is a display setting. Interpret this result →

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Ready
—
damage ω
10.50
Boundary conditions
Bottom rollers · UY = 0
Corner pin · UX = UY = 0
Top edge · prescribed UY
Soft patch (weaker mat.)

Stored damage state

Top UY—
Reaction—
max ω—
Nodes—
Q4 elems—
Stored frames—
Load–displacement

Model

  • 2-D plane continuum, Q4 mesh (—)
  • Bottom edge: rollers UY = 0; one corner pin UX = UY = 0
  • Top edge: uniform prescribed UY (displacement control)
  • Bottom-left soft patch (weaker Young’s modulus) seeds localization
  • Damage law: —

Visualization notes

  • UX → horizontal, UY → vertical (same as MATLAB Plot_displaced)
  • Top UY is drawn in tension sense (+Y, with the arrows); stored DOF sign was negative
  • Use “UY only” to see the stretch without lateral localization slide