The realistic modeling of material damage remains a major scientific challenge in the development of physico-numerical models describing material behavior. Among the various approaches currently under investigation, the phase--field method has emerged as a promising framework for the robust simulation of crack initiation and propagation, as it avoids the explicit tracking of discontinuous surfaces. The objective of this work is to integrate the phase-field approach and its extensions into an explicit Lagrangian hydrodynamics code designed for the simulation of highly dynamic phenomena such as impact, fragmentation, and rapid structural deformation. This coupling raises several scientific challenges, particularly related to the compatibility between the inherently nonlocal phase-field formulation and the explicit time integration schemes commonly employed in hydrodynamic solvers. Starting from a linear elastic constitutive model coupled with a Godounov acoustic scheme, a series of numerical simulations were performed in one dimension. Tensile and compressive loading cases under slow and highly dynamic boundary conditions, clamped boundary conditions, and the influence of pre-damage are investigated and discussed for all phase-field formulations considered. Finally, preliminary extensions to two-dimensional simulations are presented, highlighting the associated numerical and modeling challenges. Overall, this work extends the applicability of phase-field methods and introduces a new damage modeling framework suitable for integration into explicit Lagrangian hydrodynamics codes.