Image: Naughty Dog / PlayStationOfficial screenshot from Naughty Dog / PlayStation.
Build 'Em Up, Break 'Em Down is the silver trophy for crafting a melee upgrade onto each type of melee weapon and then using it until it breaks. Upgrades take a blade and a binding and turn a pipe, bat or plank into a one-hit killer.
Every time you pick up a new kind of melee weapon, upgrade it in the crafting menu and spend it on infected or hunters. It is easiest to track if you finish each weapon before swapping to another.