/ANIM/BRICK/DAMA

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/ANIM/BRICK/DAMA/Keyword4

Definitions

Comments

1. If the integration point ijk does not exist in a solid, damage value is set to 0.
2. If j is greater than or equal to 10 (in case of /PROP/TYPE22 (TSH_COMP)), syntax becomes:
   • /ANIM/BRICK/DAMA/i0k/j
   • With 10 ≤ j ≤ 200
3. The damage value, D is 0 ≤ D ≤ 1. The status for fracture is:
   • Damage occurs, if 0 ≤ D < 1
   • Failure, if D = 1
4. D is computed for every failure criteria as follows:
   • Strain-based failure (/FAIL/BIQUAD):(1)
     $$D={\displaystyle \sum \frac{\text{Δ}{\epsilon }_p}{{\epsilon }_f}}$$
   • Johnson-Cook failure (/FAIL/JOHNSON): (2)
     $$D=\sum \frac{\mathrm{\text{Δ}}{\varepsilon }_p}{{\varepsilon }_f}$$
   • Cockcroft Latham failure (/FAIL/COCKCROFT):(3)
     $$D=\frac{{\displaystyle \sum \max ({\sigma }_1,0)\cdot \text{Δ}{\epsilon }_p}}{C0}$$
   • Tuler-Butcher failure (/FAIL/TBUTCHER): (4)
     $$D=\frac{{\underset{0}{\overset{t}{\int }}\left(\sigma -{\sigma }_r\right)}^{\lambda }dt}{K}$$
   • Wilkins failure (/FAIL/WILKINS): (5)
     $$D=\frac{{\displaystyle \int W_1{W}_{2}d{\overline{\epsilon }}_p}}{D_f}$$
   • BAO-XUE-Wierzbicki failure (/FAIL/WIERZBICKI): (6)
     $$D={\displaystyle \sum \frac{\text{Δ}{\epsilon }_p}{{\overline{\epsilon }}_f}}$$
   • Strain failure model (/FAIL/TENSSTRAIN): (7)
     $$D=\underset{\mathit{time}}{\mathit{Max}}\left(\frac{{\varepsilon }_1-{\varepsilon }_{t_1}}{{\varepsilon }_{t_2}-{\varepsilon }_{t_1}}\right)$$
   • Energy density failure model (/FAIL/ENERGY): (8)
     $$D=\underset{time}{Max}\left(\frac{E-E_1}{E_2-E_1}\right)$$
   • Hashin Composite failure (/FAIL/HASHIN) - the maximum damage for different failure mode:
     • for uni-directional lamina mode(9)
       $$D=Max\left(F_1,F_2,F_3,F_4,F_5\right)$$
     • for fabric lamina model(10)
       $$D=Max\left(F_1,F_2,F_3,F_4,F_5,F_6,F_7\right)$$
   • Puck Composite failure (/FAIL/PUCK) - the maximum damage for different failure mode: (11)
     $$D=\mathit{Max}\left(e_f(\mathit{tensile}),e_f(\mathit{compression}),e_f(\mathit{ModeA}),e_f(\mathit{ModeB}),e_f(\mathit{ModeC})\right)$$
   • Ladeveze failure (/FAIL/LAD_DAMA)(12)
     $$\dot{d}=\frac{k}{a}\left[1-\exp \left(-a\langle w\left(Y\right)-d\rangle \right)\right]$$
   • Strain Failure Model with dependence on Lode angle (/FAIL/TAB1) (13)
     $$D=\frac{\sum \mathrm{\text{Δ}}D}{D_{crit}}$$
   • Spalling and Johnson-Cook failure (/FAIL/SPALLING): (14)
     $$D=\sum \frac{\mathrm{\text{Δ}}{\varepsilon }_p}{{\overline{\varepsilon }}_f}$$
   • Ladveze composite failure (/FAIL/LAD_DAMA): (15)
     $$D=\frac{k}{a}\left[1-e^{\left(-a\langle w(Y)-d\rangle \right)}\right]$$
   • Failure According (Normal and Tangential) Displacement Criteria and/or Energy Criteria (/FAIL/CONNECT): (16)
     $$D=\underset{\mathit{time}}{\mathit{Max}}\left(\frac{D_{max}}{T_{max}}\right)$$
   • Failure According Plastic Displacement Criteria (/FAIL/SNCONNECT): (17)
     $$D=\underset{\mathit{time}}{\mathit{Max}}\left(\frac{{\overline{u}}^{\mathit{pl}}-{\overline{u}}_0{}^{\mathit{pl}}}{{\overline{u}}_f{}^{\mathit{pl}}-{\overline{u}}_0{}^{\mathit{pl}}}\right)$$
   • Extended Mohr Coulomb failure model (/FAIL/EMC):(18)
     $$D=\underset{time}{Max}\left({\displaystyle \sum \frac{\text{Δ}{\overline{\epsilon }}_p}{{\overline{\epsilon }}_{p,fail}}}\right)$$