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elements:binds [2019/03/21 16:08]
chantal [Parameters defining the type of constitutive law]
elements:binds [2020/08/25 15:46] (current)
Line 1: Line 1:
 ====== BINDS ====== ====== BINDS ======
 ===== Description ===== ===== Description =====
-Elements ​used to impose a linear relationship between the DOF of some nodes\\ +These elements are used to impose a linear relationship between the DOF of some nodes\\ 
-Element ​number: 99\\ +They must refer to the material law [[laws:​binds|BINDS]] (ITYPE= 30)\\  
-Implemented by: Bertarini I. (1986) & revision ​by Pascon F. (1999)+Element ​type: 99\\ 
 +Implemented by: Bertarini I. (1986) & revised ​by Pascon F. (1999)\\ 
 + 
 +Example of relationship:​ 
 +$\displaystyle\sum_{i=1}^{m} \alpha_i . \delta_i = \alpha_0$\\ 
 +With:\\ 
 +$\delta_i$: the degree of freedom (translation or rotation: 1, 2 ...)\\ 
 +$\alpha_i$ and $\alpha_0$: data specified in the section "​COLAW"​ for the material: LMATE and specified in each relation\\ 
 +$m$: number of terms in the linear relationship\\ 
 + 
 +See example below\\
 ==== Files ==== ==== Files ====
  
Line 9: Line 19:
 Lagamine: BINDSB.F Lagamine: BINDSB.F
 ===== Input file ===== ===== Input file =====
-The following section indicates the parameters to be written in the *.lag file. The parameters should be listed in tables. For better understanding,​ the table should indicate the format in the headline, then the list of parameters (see example below). +  
-Sub-sections can be used to separate different categories of parameters (integer, real).  +Title (A5)^^
-==== Sub-Title ==== +
-^ TITLE (A5)^^+
 |TITLE |"​BINDS"​ | |TITLE |"​BINDS"​ |
-==== Control data (1I5)====+^Control data (I5)^^
 |NELEM |number of elements | |NELEM |number of elements |
-==== Definition of the elements ​==== +Definition of the elements (3I5/3*NNODE I5)^^ 
-^ NELEM * (the following lines) ^^ +|LMATE |material number ​(type 30) 
-^ 1 Line (3I5) ^^ +|NNODE |number of terms in the relation (max: 10) (see note 1)| 
-|LMATE |material number | +|INDISO |position of $\alpha_0$ ​in the list of the $\alpha$ coefficients of the law LMATE 
-|NNODE |number of terms in the relation (max: 10) | +|NODES(I) |node number ​in the relation | 
-|INDISO |position of alfa0 in the list of real parameters ​| +|IDOF(I) |componant of the node used in the relation ​(1: first DOF, 2: second DOF ...) (see note 2) 
-^ NNODE Line (3I5) ^^ +|INDIS(I) |position of the $\alpha_i$ ​coefficient ​in the law LMATE | 
-|NODES(I) |nodes numbers ​in the relation | +| **Note:** These 3 consecutive terms are written for I=1:NNODE on the same line|
-|IDOF(I) |componant of the nodes used in the relation | +
-|INDIS(I) |position of the coefficient |+
  
 +__**Notes**__\\
 +1: if NNODE >10, the subroutines:​ BINDSA and BINDSB must be adapted \\
 +2: Number of DOF in global axes
 +   1= displacement in X direction
 +   2= displacement in Y direction
 +   3= displacement in Z direction
 +   4= rotation around the axis X
 +   5= rotation around the axis Y
 +   6= rotation around the axis Z
 +3: The $\alpha_0$ coefficient is multiplied by DMULT
  
 +===== Example =====
 +If you have the 2 following relations:​\\
 +$4.U_1 + 2. V_2 - U_3 = 0$ (element n° 1) \\
 +$2.V_1 + 2. U_2 + 4.U_3 = 4$ (element n° 2)\\
  
 +where, for example, $U_3$ is related to the first DOF (U) of the node 3\\
  
-===== Results =====+You have to describe 1 law with all the $\alpha_i$ coefficients:​\\ 
 +$\alpha_1$4\\  
 +$\alpha_2$2\\  
 +$\alpha_3$-1\\  
 +$\alpha_4$0\\ 
  
 +And you have to define 1 element for each relation (here: 2 elements) \\
 +
 +After the title, you have 5 lines: \\
 +^ Line 1^
 +|NELEM = 2|
 +__**First element:​**__ ​
 +^Line 2^^^
 +|LMATE = law nb.|NNODE = 3 |INDISO = 4|
 +
 +^Line 3^^^^^^^^^
 +|NODES(1) = 1 | IDOF(1) = 1 | INDIS(1) = 1 |NODES(2) = 2 |IDOF(2) = 2| INDIS(2) = 2|NODES(3) = 3 |IDOF(3) = 1 |INDIS(3) = 3 |
 +|  for $4.U_1$ ​ |||  for $2.V_2$ ​ |||  for $-U_3$ ​ |||
 +__**Second element:​**__ ​
 +^Line 4^^^
 +|LMATE = law nb. |NNODE = 3 |INDISO = 1 |
 +
 +^Line 5^^^^^^^^^
 +|NODES(1) = 1 |IDOF(1) = 2 |INDIS(1) = 2 | NODES(2) = 2 |IDOF(2) = 1 |INDIS(2) = 2 | NODES(3) = 3 |IDOF(3) = 1 |INDIS(3) = 1 |
 +|  for $2.V_1$ ​ |||  for $2.U_2$ ​ |||  for $4.U_3$ ​ |||
 +===== Results =====
 +Effort in the spring
  
elements/binds.1553180917.txt.gz · Last modified: 2020/08/25 15:33 (external edit)