evaginate

from The American Heritage® Dictionary of the English Language, 5th Edition.

• transitive verb To cause (a body part) to turn inside out by eversion of an inner surface.

from The Century Dictionary.

• Pushed out or everted; turned inside out.
• To unsheathe; withdraw from a sheath: opposed to invaginate.

from the GNU version of the Collaborative International Dictionary of English.

• adjective Protruded, or grown out, as an evagination{2}; turned inside out; unsheathed; evaginated.
• verb To become evaginate; to cause to be evaginate.

from Wiktionary, Creative Commons Attribution/Share-Alike License.

• verb intransitive To evert a body organ inside surface to outside.
• verb transitive To cause a body organ or part to become inside-out.