Boolean UnionΒΆ

Learning targets

  • Construct object by Boolean operation (union)
  • Apply shape transformations (normal displacement, corner rounding)

This example constructs a binary mask like square object with serifs at its corner. We apply corner roundings in the horizontal directions. Normal displacements are used to define oblique sidewall angles in z-direction.

_images/ex3d_boolean_union_mesh.png

.jcm Input File

  • layout.jcm [ASCII]

      1
      2
      3
      4
      5
      6
      7
      8
      9
     10
     11
     12
     13
     14
     15
     16
     17
     18
     19
     20
     21
     22
     23
     24
     25
     26
     27
     28
     29
     30
     31
     32
     33
     34
     35
     36
     37
     38
     39
     40
     41
     42
     43
     44
     45
     46
     47
     48
     49
     50
     51
     52
     53
     54
     55
     56
     57
     58
     59
     60
     61
     62
     63
     64
     65
     66
     67
     68
     69
     70
     71
     72
     73
     74
     75
     76
     77
     78
     79
     80
     81
     82
     83
     84
     85
     86
     87
     88
     89
     90
     91
     92
     93
     94
     95
     96
     97
     98
     99
    100
    101
    102
    Layout3D { 
      
      UnitOfLength = 1e-09 
      MeshOptions {
        MaximumSideLength = 20
      }
      Extrusion {
        Objects {
          Parallelogram {
            DomainId = 1
            Priority = -1
            Width = 200
            Height = 200
            Boundary {
              Class = Periodic
            }
          }
          
          
          BooleanOperation {
            DomainId = 2
            Operator = Union
            
            A {
              Parallelogram { 
                Height = 80
                Width = 80
              }
            }
            
            B { 
              Parallelogram {
                Height = 32
                Width = 32
                GlobalPosition = [-40 -40]
              }
              Parallelogram {
                Height = 32
                Width = 32
                GlobalPosition = [40 -40]
              }
              Parallelogram {
                Height = 32
                Width = 32
                GlobalPosition = [40 40]
              }
              Parallelogram {
                Height = 32
                Width = 32
                GlobalPosition = [-40 40]
              }
            }
            
            NormalDisplacement = 0        
            CornerRounding {
              Radius = 4
              NPoints = 5
            }
            
          } 
        }
        MultiLayer {
          MeshOptions {
            MaximumSideLengthZ = 20
          }
          
          LayerInterface {
            BoundaryClass = Transparent
          }
          
          Layer {
            Thickness = 50
            DomainId = 1
          }
          
          LayerInterface {
            GeometryValues = [
            BooleanOperation{1}/NormalDisplacement = -3
            ]
          }
          
          Layer {
            Thickness = 65
            DomainIdMapping = [1 2 2 3]
          }
          
          LayerInterface {
            GeometryValues = [
            BooleanOperation{1}/NormalDisplacement = 3
            ]
          }
          
          Layer {
            Thickness = 50
            DomainId = 4
          }
          
          
        }
        
      } 
    }
    

Note

The mesh is constructed in a tensor-grid like manner (horizontal xy-mesh \times vertical z-mesh). When deforming in z-direction, the mesh quality depends on the cross-section mesh. For this we have chosen a zero normal displacement. This way the cross-section mesh corresponds to the geometry in middle for the structure.