engrave something (up)on something
1. . Lit. to cut letters or a design into the surface of something; to engrave something on(to) something. Todd engraved his initials into the bark of the tree. Their names were engraved onto each of their wedding rings. He asked them to engrave his initials upon the back of his watch. He engraved his name on the desktop.
2. Fig. to imprint something firmly on someone's mind. I engraved the combination to the safe upon my brain. The teacher engraved the definition of a noun into my memory.
engrave something on(to) something
to cut symbols into the surface of something. She engraved her initials onto the side of the tree. Ted engraved her name on the bracelet.