====== MAZAR ======
===== Description =====
Mazars damage mechanics constitutive law for concrete

==== The model ====
This law is only  used for mechanical analysis for concrete solids undergoing large strains.
==== Files ====
Prepro: LMAZAR.F \\
===== Availability =====
|Plane stress state| YES |
|Plane strain state| YES |
|Axisymmetric state| YES |
|3D state| YES |
|Generalized plane state| NO |
===== Input file =====
==== Parameters defining the type of constitutive law ====
^ Line 1 (2I5, 60A1)^^
|IL|Law number|
|ITYPE| 588 |
|COMMENT| Any comment (up to 60 characters) that will be reproduced on the output listing|
==== Integer parameters ====
^ Line 1 (5I5) ^^
|NINTV|(=1 par défaut)|
|ISOL|= 0 : use of total stresses in the constitutive law|
|:::|≠ 0 : use of effective stresses in the constitutive law : see [[appendices:a8|Appendix 8]]|
|INOLO|Non-local approach index (0 = local approach, 1 = non-local approach)|
|ITEMOIN|Constitutive matrix index (only for 2D analysis)|
|ITEMP|Temperature index (only for 2D analysis)|
|:::|= 0 : No temperature influence|
|:::|= 1 : Dotreppe's formulation (only for 2D analysis)|
|:::|= 2 : Eurocode 2 formulation (only for 2D analysis)|
|:::|= 3 : Bakker-Stabler formulation (only for 2D analysis)|

==== Real parameters ====
^ Line 1 (3G10.0) ^^
|E |YOUNG's elastic modulus|
|ANU|POISSON's ratio.|
|FT|Tensile strength|
^ Line 2 (5G10.0) ^^
|ACOM|1st parameter for damage due to compresssion|
|BCOM|2nd parameter for damage due to compresssion|
|ATRA |1st parameter for damage due to tension|
|BTRA |2nd parameter for damage due to tension|
|BETA |Parameter for damage due to shear|
^ Line 3 (4G10.0) ^^
|DIV|Time integration parameter|
|RHOS|Specific mass|
|RMAX|Maximum radius (Non-local method)|
|ALC|Internal length (Non-local method)|

===== Stresses =====
==== Number of stresses ====
= 6 : for the 3-D state \\ 
= 4 : for the other cases.
==== Meaning ====
The stresses are the components of CAUCHY stress tensor in global (X,Y,Z) coordinates. \\
For the 3-D state :
|SIG(1)|$\sigma_{xx}$|
|SIG(2)|$\sigma_{yy}$|
|SIG(3)|$\sigma_{zz}$|
|SIG(4)|$\sigma_{xy}$|
|SIG(5)|$\sigma_{xz}$|
|SIG(6)|$\sigma_{yz}$|
For the other cases :
|SIG(1)|$\sigma_{xx}$|
|SIG(2)|$\sigma_{yy}$|
|SIG(3)|$\sigma_{xy}$|
|SIG(4)|$\sigma_{zz}$|

===== State variables =====
==== Number of state variables ====
= 17 : for 2D plane strain or axisymmetric analysis \\
= 16 : for 3D analysis
==== List of state variables ====
2D plane strain or axisymmetric analysis :
|Q(1)|THICK : Thickness (axisymmetric or plane stress state)|
|Q(2)|D : Damage|
|Q(3)|DC : Damage due to compression|
|Q(4)|DT : Damage due to tension|
|Q(5)|EPSTIL : Equivalent deformation|
|Q(6)|RHOS : Actualised specific mass|
|Q(7)|DXXT : Strain computed at the previous step|
|Q(8)|DYYT : Strain computed at the previous step|
|Q(9)|DZZT : Strain computed at the previous step|
|Q(10)|DXYT : Strain computed at the previous step|
|Q(11)|FLAG : Flag for increasing damage (=1- or constant damage (=0)|
|Q(12)|EPSB1|
|Q(13)|EQVIL1|
|Q(14)|ESPNL : Non-local equivalent strain|
|Q(15)|OMEGA : Area associated to integration point|
|Q(16)|EPSD0 damage threshold|
|Q(17)|Thermal damage G|

3D analysis :
|Q(1)|THICK : Thickness (axisymmetric or plane stress state)|
|Q(2)|D : Damage|
|Q(3)|DC : Damage due to compression|
|Q(4)|DT : Damage due to tension|
|Q(5)|EPSTIL : Equivalent deformation|
|Q(6)|RHOS : Actualised specific mass|
|Q(7)|DXXT : Strain computed at the previous step|
|Q(8)|DYYT : Strain computed at the previous step|
|Q(9)|DZZT : Strain computed at the previous step|
|Q(10)|DXYT : Strain computed at the previous step|
|Q(11)|DXZT : Strain computed at the previous step|
|Q(12)|DYZT : Strain computed at the previous step|
|Q(13)|FLAG : Flag for increasing damage (=1- or constant damage (=0)|
|Q(14)|EPSB1|
|Q(15)|EQVIL1|
|Q(16)|EPSD0 damage threshold|