Named after Daniel Barbier - French astronomer (1907-1965).
Barbier is a lunar impact crater on the southern hemisphere on the far side. It forms a matched pair with Cyrano to the north-northwest, and it lies to the southeast of the huge walled plain Gagarin. Southwest is the crater Sierpinski, and to the southeast is the Mare Ingenii. The outer rim has been eroded somewhat by subsequent impacts, particularly at the north end where the wall has been degraded by several small craterlets. (wikipedia entry)
A crater is a circular depression likely created by an impact event. On the Moon they are named after deceased scientists, polar explorers, astronauts or cosmonauts.