Two main contexts: military/violent ('break into a city, fortress, system') and sports ('攻入一球' = score a goal). In football commentary 攻入 is the standard phrase for putting the ball in the net.
memory
攻 (gōng, 'to attack') + 入 (rù, 'to enter') — literally 'attack-into'. The image of forcing your way in is built right into the characters.