That is not how design patents work. You either have a design patent, a utility patent or both. You said design patent and again I found no links. Design patents don't protect the function:
From USPTO
From USPTO
In general terms, a "utility patent" protects the way an article is used and works (35 U.S.C. 101), while a "design patent" protects the way an article looks (35 U.S.C. 171). ... Both design and utility patents may be obtained on an article if invention resides both in its utility and ornamental appearance.

