laws:chab
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laws:chab [2022/09/28 11:52] helene [List of state variables] |
laws:chab [2022/09/28 16:23] (current) helene |
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| |$k_4$|Safety coefficient applied to stress level on creep damage| | |$k_4$|Safety coefficient applied to stress level on creep damage| | ||
| ^If IARRH=1 - Line 3+i (i=1:nAF) (2G10)*i^^ | ^If IARRH=1 - Line 3+i (i=1:nAF) (2G10)*i^^ | ||
| - | |$A_i$| coefficient for expression of bi using Arrhenius equation| | + | |$A_i$| coefficient for expression of $b_i$ using Arrhenius equation: $b_i=A_i \exp(-B_i/T)$| |
| - | |$B_i$| coefficient for expression of bi using Arrhenius equation| | + | |$B_i$| coefficient for expression of $b_i$ using Arrhenius equation: $b_i=A_i \exp(-B_i/T)$| |
| === Temperature-dependent parameters - Case where iarrh=0 or iarrh=1 === | === Temperature-dependent parameters - Case where iarrh=0 or iarrh=1 === | ||
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| ===== State variables ===== | ===== State variables ===== | ||
| ==== Number of state variables ==== | ==== Number of state variables ==== | ||
| - | 24+6*nAF+6*nAFY+H(UIDAM)*(2+2*ddim+6)+2*H(DIDAM)+8*ILCF \\ | + | $24+6n_{AF}+6n_{AF_Y}+(8+2ddim)\mathscr{H}(u_{i_{dam}})+2\mathscr{H}(d_{i_{dam}})+8i_{LCF}$ |
| - | Where: UIDAM=IDAM mod 10 and DIDAM=IDAM-UIDAM \\ | + | \\ |
| - | H() is the Heaviside step function. | + | Where: $u_{i_{dam}}\equiv i_{dam} \mod 10$ \\ and $d_{i_{dam}}=i_{dam}-u_{i_{dam}}$. \\ |
| + | $\mathscr{H}(x)$ is the Heaviside step function: $\mathscr{H}(x)=1$ if and only if $x>0$, otherwise, $\mathscr{H}(x)=0$. | ||
| ==== List of state variables ==== | ==== List of state variables ==== | ||
| |Q(1)|plastic strain norm $p$| | |Q(1)|plastic strain norm $p$| | ||
laws/chab.1664358752.txt.gz · Last modified: 2022/09/28 11:52 by helene
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