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326   Control theory in biomedical engineering


          5 Fabrication methodology

          Since our design will be subjected to tensile and compressive loads and
          undergo deformation, we require our material to be compliant and flexible.
          We used two different methods of fabrication to achieve our tubular struc-
          tures. The first method involves cutting a two-dimensional sheet of soft
          material and rolling it into a tube. The second method involves direct 3D
          printing of the tubular structures. Each of the methods are detailed in the
          sections that follow.


          5.1 Rolling two-dimensional sheets

          As it is possible to create tubes by rolling materials on two-dimensional
          sheets, we use a standard re-entrant planar design on sheets of silicone
          and laser cut the pattern. We use Dragon Skin 30 Silicone rubber to create
          the sheets. We then spread out the mixture over a flat surface for a sheet
          thickness of 1mm. After curing and cutting the sheets, they are rolled into
          a cylinder. When stretched, we did not observe much of an expansion or
          auxetic activity because of the fully compliant nature of silicone. Auxetic
          materials display their properties best when expansion is only constrained
          to the hinge of rotation while the other parts remain relatively rigid. This
          is not possible with silicone rubber as all parts undergo equal stretch, thereby
          giving a Poisson’s ratio of close to zero.
             Similar tests were conducted using the following varieties of silicone rub-
          ber with different Young’s modulus and thickness. Upon observation, all
          these tests result in little to no auxetic activity. Hence, we abandoned the
          idea of using 2D planar sheets to fabricate auxetic materials.


          5.2 3D printed auxetics

          We took a different approach to the fabrication of auxetic materials than in
          the previous section. In this method, we first created a computer aided
          design (CAD) model of a sheet metal and superimposed the required sketch
          of the auxetic design. We then extruded the design and joined the bends of
          the fold to get our required structure. This part was then directly printed
          using different flexible materials. We used five different auxetic designs
          and three different materials for each design to conduct our tests. The mate-
          rials and designs are described below.
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