What to do when a duelist splitpushes, and you are a support or tank(anyone who doesn't deal damage)

Every time a darius, fiora, etc. splitpushes, I try to stop them as a tank or support but end up dying under tower. Either my teamates are 1) Going for an objective or 2) Teamfighting. By the time we win the teamfight or get the objective without anyone at our inner turrets, 1 or 2 turrets are down and rarely an inhibitor.
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