From this answer, we find
Continuing with the tale of Sri Ram, Lord Mahadeva told Parvati–Dasharath requested Vashishth to perform the Jaatkarm Sanskar of Sri Ram. In course of time Kaikeyi gave birth to Bharat–an incarnation of Panchajanya conch. Similarly, Sumitra gave birth to two sons–Laxman and Shatrughan. Laxman was the incarnation of Sheshnag while Shatrughan was the incarnation of Sudarshan Chakra.
How non living things (insentient beings) like Sudarshan chakra & conch could take avatar?