Predicting the unmoulding tire process is a motivation for developing numerical simulation tools, and a robust dynamics scheme is mandatory. Indeed, this process leads to fast dynamic events, such as impacts or interface fracture, and implicit schemes exhibit convergence issues and/or possibly high numerical cost, so explicit schemes are of interest. This article therefore focuses on the explicit CD-Lagrange scheme, previously studied for dynamic frictional impacts, that provides interesting properties due to its symplectic nature, allowing good conservation properties, among which the discrete energy conservation. The aim is therefore herein to use this scheme as a framework for modeling more complex interface properties in a modular implementation.