====Problem Description====
 
'''Homogenization Problem'''
This tutorial shows how to calculate cross-sectional properties of the Lenticular boom with given dimensions and material properties using SwiftComp 1.3 and SwiftComp Abaqus GUI.

Flattened height: 45 mm, Web height(one side): 3 mm, Subtended angle: 90 degree, Ply thickness: 0.04 mm,
Radius of the flange (curved part): 6.21 mm,
Layup: (30)2 . The layup sequence is along with the direction pointing to the center of flange(Blue arrow).

In this example, isotropic matrix and transversely isotropic fiber are considered as constituent materials and we want to compute the effective thermal conductivity of the composite material. The corresponding material properties that we will use are defined in the following table.

||Resin Conductivity, k,,r,, ||0.29 W/m/K||
||Fiber Conductivity in Fiber Direction, k,,f11,,||6.83 W/m/K||
||Fiber Conductivity in Transverse to the Fiber Direction, k,,f22,,||2.60 W/m/K||

We will use a hexagonal pack with fiber volume fraction equal to v,,f,, = 0.8320

[[Image(Problem_1.png, desc="Homogenization process")]] 


====Software Used==== 
In his tutorial we will use Abaqus CAE with the Abaqus SwiftComp GUI  plug-in. Abaqus CAE will be used to define the material properties and Abaqus SwiftComp GUI to define the different structure genomes (SGs). SwiftComp will run in the background. 

====Solution Procedure==== 
The steps required to compute the effective thermal conductivity using Abaqus SwiftComp GUI are as follows. 

''' # Step 1.''' We define the material properties in global coordinate system. In this case, we only need to define thermal conductivity properties in Abaqus CAE clicking on ''Thermal, Conductivity''.
[[Image(Step_1.png, desc="Definition of thermal conductivity as constituent properties")]] 

''' # Step 2.''' From the default the Abaqus SwiftComp GUI SGs, we pick the 2D Structure Genome with Hexagonal pack. 

[[Image(Step_2.png, desc="Definition of the 2D SG hexagonal pack microstructure")]] 

''' # Step 3.''' Now, in order to compute the homogenized thermal conductivity properties, we click on ''Homogenization'' and we select ''Conduction'' in Analysis Type. 

[[Image(Step_3.png, desc="Definition of the homogenization step")]] 

''' # Step 4.''' We click on ''Ok'' to run the homogenization step. SwiftComp on the background will run the homogenization. 

[[Image(Step_4.png, desc="SwiftComp running on the background")]] 

''' # Step 5.'''The results can be found in the ''.sc.k'' file as shown next. Note that the first matrix corresponds to the effective thermal conductivity matrix in the form of K,,ij,,^*^. The second matrix corresponds to the compliance matrix in the form of (K,,ij,,^*^ )^-1^.

[[Image(Step_5.png, desc="Results corresponding to the effective thermal conductivities")]] 

The MSG solid model is used to predict the effective thermoelastic properties of a plain weave composite by taking the effective yarn properties and matrix properties to predict the effective properties of weave composites. 
Software Used

The example will be solved using the TexGen4SC 2.0.
Solution Procedure

Below describe the detailed step by step procedure you followed to solve the problem.

# Step 6 Create mesoscale plain weave SG with the yarn geometries given as

[[BR]]
[[Image(l1.PNG)]] 


# Step 7 Create plain weave pattern as
[[BR]]
[[Image(l2.PNG)]] 

# Step 8 Go to Homogenization->Microscale and select thermoelastic analysis. Keep the default material properties. The fiber volume fraction 0.64 as
[[BR]]
[[Image(l3.PNG)]] 
Click finish and the microscale homogenization will be performed and the results will be automatically pop up. Note
[[BR]]
[[Image(l4.PNG)]] 

# Step 9 The effective yarn properties will be automatically assigned to the mesoscale model. However, users need to define the matrix properties for the mesoscale model. Usually, the matrix at the mesoscale is the same as the one at microscale as shown
[[BR]]
[[Image(l5.PNG)]] 

# Step 10 Go to File->Export->SwiftComp File, define the voxel mesh and run elastic analysis using the MSG solid model
[[BR]]
[[Image(l6.PNG)]] 
Save the sc file and click to the Homogenization->Mesoscale. The effective properties of the plain weave composite will be automatically pop up
[[BR]]
[[Image(l7.PNG)]]