A mandrel for forming a mold may comprise a rod having an outer surface, and a spiral component disposed around the outer surface of the rod, wherein the mandrel may be configured to receive an electrospun fiber. A method of making a kink-resistant electrospun fiber mold may comprise configuring such a mandrel to receive an electrospun fiber, applying a charge to one or more of the rod, the spiral component, and a polymer injection system, and depositing a polymer solution ejected from the polymer injection system onto the mandrel. A mold formed from such a method may comprise an inner wall extending axially, and an outer wall adjacent to the inner wall, having a plurality of axially adjacent, outwardly extending peaks separated by a plurality of valleys.