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]

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    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.