Šarma-Adad I, son and successor of Libāya, reigned for twelve years according to the Assyrian King List [/riao/kinglists/assyriankinglist/assyriankinglist/index.html#BelubaniDynasty] (AKL). Following Reade 2001, who regards the six names mentioned alongside Aššur-dugul as eponyms (see the "sons of nobody [riao/kinglists/assyriankinglist/index.html#Section5-7]"), Šarma-Adad I was the fifth king of Aššur after Samsī-Addu I. He was succeeded by his son, Iptar-Sîn, who also exercised kingship for twelve years. No royal inscriptions from his reign have come to light.
J. Reade (2001) proposes that Bēlu-bāni, Libāya, and Šarma-Adad I were either governors of Aššur who were dependant on the city Ekallātum or independent rulers of Ekallātum itself and that they were perhaps contemporaries of Puzur-Sîn and Bazāya; in this scenario, Šarma-Adad I, Bēlu-bāni's grandson, would have reigned at the same time as his uncle Bazāya. Moreover, Reade proposes that Šarma-Adad I and Šarma-Adad II are in fact the same person.
Poppy Tushingham
Poppy Tushingham, 'Šarma-Adad I', RIA 1: Inscriptions from the Origins of Assyria to Arik-dīn-ili, The RIA Project, 2023 [http://oracc.org/oldassyrianperiod/belubanidynasty/sharmaadadi/]