Device-to-device (D2D) communication has become one important part of next-generation mobile networks particularly due to the booming of proximity-based services, e.g. the ProSe standardized in LTE. However, D2D communications may create strong interference to nearby users that are sharing the same spectrum. Thus, interference management in a D2D-enabled cooperative network is critical. In this paper, the time reuse problem and its distributed solution in a D2D-enabled cooperative network are investigated. Even though the total number of possible time reuse patterns increases exponentially with the quantity of the users, the authors first show that the optimal network performance can be achieved by only activating a limited number of time reuse patterns. The effects of the incentive mechanism on the reuse pattern selection are also investigated. Meanwhile, the set of active reuse patterns are determined efficiently with the Frank-Wolfe method. For a specific set of active time reuse patterns, the authors further show that the optimal resource allocation problem can be formulated as one consensus-building problem. Based on the alternating-direction method of multipliers, one low-complexity algorithm is proposed to determine the optimal resource allocations in a distributed fashion. Numerical simulations are carried out to corroborate our designs.