onlay

From Middle English onleien, onleggen (“to lay or place; impose; attack”). Equivalent to on- +‎ lay.

onlay (third-person singular simple present onlays, present participle onlaying, simple past and past participle onlaid)

1. (transitive, literary) To lay or place something on a surface.

on- +‎ lay.

onlay (countable and uncountable, plural onlays)

1. (often attributive) A material placed such that it overlaps another.
   • 2015, Evangelos P. Misiakos et al., “Current Trends in Laparoscopic Ventral Hernia Repair”, in JSLS : Journal of the Society of Laparoendoscopic Surgeons‎, volume 19, DOI:10.4293/JSLS.2015.00048:

     Umbilical hernias in many centers are best managed with the use of polypropylene mesh placed in the onlay position or Ventralex-type mesh (Bard Davol) placed intraperitoneally in patients under local anesthesia in a day-surgery setting.

• inlay

• any ol', lay on