Crew Damage
If the starship’s core has the wrecked condition and further critical damage is dealt to the core, no critical damage conditions are applied to the ship. Instead, one of the crew (determined randomly) is injured, taking an amount of Hit Point damage equal to the Hull Point damage dealt by the attack (without the increase for starship weapons against humanoid targets; see Shooting Starships on page 292). That crew member can attempt a DC 20 Reflex save to take only half damage.
Source
Core Rulebook pg. 321
