Definition of tear-up:
(n) :
A drop of clear, salty liquid produced from the eyes by crying or irritation.
(v) :
(transitive) To rend (a solid material) by holding or restraining in two places and pulling apart, whether intentionally or not; to destroy or separate.
(v) :
(transitive) To injure as if by pulling apart.
(v) :
(transitive) To destroy or reduce abstract unity or coherence, such as social, political or emotional.
(v) :
(transitive, often with off or out) To remove by tearing, or with sudden great force.
(v) :
(intransitive) To become torn, especially accidentally.