No expiation is required. The period for Tawâf al-Ifâdah is not restricted to one day.
Tawâf al-Ifâdah is the second essential pillar of Hajj. It is also known as the tawâf of Hajj.
The timeframe for Tawâf al-Ifâdah begins halfway through the night of Muzdalifah, since this is the time when those who have an excuse – like women, those who are weak, and those who are accompanying them – can depart from Muzdalifah. Scholars disagree as to whether people can start making Tawâf al-Ifâdah after the middle of the night or whether they have to wait until dawn. Since scholars express two opinions on the matter, and since there is no specific textual evidence to resolve the question one way or another, it should be treated as something flexible.
There is nothing to restrict the observance of Tawâf al-Ifâdah to the 10th of Dhû al-Hijjah. It is possible to postpone offering Tawâf al-Ifâdah and observe it on a later date. In fact, it can even be postponed until the end of the Hajj, so that a single performance of tawâf can count as both Tawâf al-Ifâdah and the farewell tawâf. This can relieve a lot of difficulties, and reduce the severe overcrowding around the Ka`bah.
It is possible to postpone the tawâf until the end of Dhû al-Hijjah. Indeed, even if it is offered after the month of Dhû al-Hijjah is over, it will still be valid.
And Allah knows best.