Abstract: Calabi-Yau manifolds form an important class of complex manifolds which admit Ricci-flat Kähler metrics thanks to Yau's solution of Calabi's conjecture. As such, in terms of the Berger classification, Calabi-Yau manifolds constitute building blocks of Riemannian manifolds with special holonomy included in SU(n). These play an important role in string theories compactifications. Calabi-Yau manifolds are also the objects of the mirror symmetry conjecture. In this talk, we describe a gluing constructions for families of Ricci-flat Kähler metrics on crepant resolutions and on polarized smoothings of Calabi-Yau manifolds with isolated conical singularities as obtained by Hein-Sun and we obtain asymptotic expansions in terms of the parameters of degeneration.