tear up

crocodile tear

A tear shed insincerely, in a false display of sorrow or some other emotion.

shed a tear

To have a tear released, to cry (from sadness)

tear a cat

To overact; to violently rant and rave on stage.

tear one's hair out

To react with extreme agitation.

tear to shreds

Synonym of tear to pieces.

tear up the dance floor

To engage vigorously in dancing.

tear up the pea patch

To put on a notable performance, especially in sports; to go on a rampage.