====== RESPLA ======

===== Description =====

Elasto-plastic constitutive law for [[elements:resso|RESSO]] bound elements.

==== The model ====

This law is used for mechanical analysis of elasto-plastic isotropic porous media undergoing large strains.

==== Files ====

Prepro: LRESPL.F \\

===== Availability =====

|Plane stress state| YES|
|Plane strain state| YES|
|Axisymmetric state| YES|
|3D state| NO |
|Generalized plane state| YES|

===== Input file =====

==== Parameters defining the type of constitutive law ====

^ Line 1 (2I5, 60A1)^^
|IL|Law number|
|ITYPE| 81|
|COMMENT| Any comment (up to 60 characters) that will be reproduced on the output listing|

==== Integer parameters ====

^ Line 1 (4I5) ^^
|NCOU| Number of soil layers |
|IPLA| = 0 : Elastic bound |
|:::| = 1 : Elasto-plastic bound |
|ICREU| Soil digging index, __affected by FMULT multiplicator__ |
|:::| = 0 : No soil digging |
|:::| = 1 : Soil digging |
|INAP| Water table modification index, __affected by DMULT multiplicator__ |
|:::| = 0 : No water table modification |
|:::| = 1 : Water table modification |


==== Real parameters ====

^ Line 1 (1G10.0) ^^
|GAMWAT| Water density |
^ Line 2 (2G10.0) ^^
|YSUP| Upper Y level |
|YNAPPE| Water table Y level |
^ Line 3 (7G10.0 to repeat NCOU time) ^^
|YBASE(I)| Lower Y level of the layer I |
|AKRES(I)| Bound coefficient of the layer I |
|AKA(I)| Ka coefficient of the layer I |
|AK0(I)| Ko coefficient of the layer I |
|AKP(I)| Kp coefficient of the layer I |
|GAMSAT(I)| Saturated soil density of the layer I |
|GAMHUM(I)| Humid soil density of the layer I |

===== Stresses =====

==== Number of stresses ====

1

==== Meaning ====

|SIG(1)| = $\sigma_{\text{horizontal}}$ = $\sigma_h$ in the bound |

===== State variables =====

==== Number of state variables ====

4

==== List of state variables ====

|Q(1)| = IYIELD |
|:::| = 0 if elastic behaviour ($K_a < K_{eff} < K_p$) |
|:::| = 1 if plastic behaviour with $K_{eff} = K_a$ |
|:::| = 2 if plastic behaviour with $K_{eff} = K_p$ |
|Q(2)| = AKEFF : actual K coefficient ($K_a < K_{eff} < K_p$) |
|Q(3)| = FMULT | 
|Q(4)| = DMULT |

{{ :laws:respla.png?500 |}}