"$Thermallattice" 修訂間的差異

於 2019年8月2日 (五) 14:53 的最新修訂

$Thermallattice is the command to setup the thermal expansion coefficient of material, which is used with the command $solveheatstrain, $heatstrainsteps.

The command is relative complication, type common format is 

$Thermallattice
type_1  Number_of_input_parameters_N1  $p_{1}$   $p_{2}$   $p_{3}$   $p_{4}$   ....  $p_{N1}$ 
type_2  Number_of_input_parameters_N2  $p_{1}$   $p_{2}$   $p_{3}$   $p_{4}$   ....  $p_{N2}$ 
type_3  Number_of_input_parameters_N3  $p_{1}$   $p_{2}$   $p_{3}$   $p_{4}$   ....  $p_{N3}$ 
 ....
 .... top total layers
type_m  Number_of_input_parameters_Nm  $p_{1}$   $p_{2}$   $p_{3}$   $p_{4}$   ....  $p_{Nm}$

Type:
1: means  latticeXYZ (T) = latticeXYZ(Tref) + latticeXYZ(Tref) * (T -  $p_{1}$  ) *  $p_{2}$  and 
    Number_of_input_parameters =2 
2: means x x y z axis have different thermal expansion coefficient. So 
   latticeX (T) = latticeX(Tref) + latticeX(Tref) * (T -  $p_{1}$  ) *  $p_{2}$  
   latticeY (T) = latticeY(Tref) + latticeY(Tref) * (T -  $p_{1}$  ) *  $p_{3}$  
   latticeZ (T) = latticeZ(Tref) + latticeZ(Tref) * (T -  $p_{1}$  ) *  $p_{4}$ 
   Number_of_input_parameters = 4 
3: If T>  $p_{3}$  
   latticeXYZ (T) = latticeXYZ(Tref) + latticeXYZ(Tref) * (p_{3} -  $p_{1}$  ) *  $p_{2}$   + latticeXYZ(Tref) * (T -  $p_{3}$  ) *  $p_{4}$  
   If T<= $p_{3}$  
   latticeXYZ (T) = latticeXYZ(Tref) + latticeXYZ(Tref) * (T -  $p_{1}$  ) *  $p_{2}$   
   Number_of_input_parameters = 4

For example, If we have 6 regions

$Thermallattice
1 2  300.0 0.01 
1 2  300.0 0.03
2 4  300.0 0.01 0.015 0.012  
3 4  300.0 0.01  400.0 0.1 
1 2  300.0 0.01 
1 2  300.0 0.03

"$Thermallattice" 修訂間的差異

於 2019年8月2日 (五) 14:53 的最新修訂

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@@ 行 12： / 行 12： @@
  Type:
-: means  latticeXYZ (T) = latticeXYZ(Tref) + latticeXYZ(Tref) * (T - <math>p_{1}</math> ) * <math>p_{2}</math>
+: means  latticeXYZ (T) = latticeXYZ(Tref) + latticeXYZ(Tref) * (T - <math>p_{1}</math> ) * <math>p_{2}</math> and
-: meanx x y z axis have different thermal expansion coefficient. So
+     Number_of_input_parameters =2
+: means x x y z axis have different thermal expansion coefficient. So
     latticeX (T) = latticeX(Tref) + latticeX(Tref) * (T - <math>p_{1}</math> ) * <math>p_{2}</math>
     latticeY (T) = latticeY(Tref) + latticeY(Tref) * (T - <math>p_{1}</math> ) * <math>p_{3}</math>
-    latticeZ (T) = latticeZ(Tref) + latticeZ(Tref) * (T - <math>p_{1}</math> ) * <math>p_{3}</math>
+    latticeZ (T) = latticeZ(Tref) + latticeZ(Tref) * (T - <math>p_{1}</math> ) * <math>p_{4}</math>
+    Number_of_input_parameters = 4
+: If T> <math>p_{3}</math>
+    latticeXYZ (T) = latticeXYZ(Tref) + latticeXYZ(Tref) * (p_{3} - <math>p_{1}</math> ) * <math>p_{2}</math>  + latticeXYZ(Tref) * (T - <math>p_{3}</math> ) * <math>p_{4}</math>
+    If T<=<math>p_{3}</math>
+    latticeXYZ (T) = latticeXYZ(Tref) + latticeXYZ(Tref) * (T - <math>p_{1}</math> ) * <math>p_{2}</math>
+    Number_of_input_parameters = 4
+For example, If we have 6 regions
+ $Thermallattice
+2  300.0 0.01
+2  300.0 0.03
+4  300.0 0.01 0.015 0.012
+4  300.0 0.01  400.0 0.1
+2  300.0 0.01
+2  300.0 0.03