([[Cours_Mecanique_Collision.pdf|local ref]])

During **inelastic collisions**, momentum is conserved but not the kinetic energy. 

$$\sum_{i=1}^{n}\vec{P_i} = \sum_{i=1}^{n}\vec{P'_i}$$
$$\sum_{i=1}^{n} {E_c}_i > \sum_{i=1}^{n} {E'_c}_i$$

This can be used for slamming or other wave-like loading *(This model is reasonable when the impactor is relatively soft and the mass of impactor is larger than the mass of the node being impacted)*
([[Context articles descriptions#Inelastic Impact of Composite Laminated Plate|source]])


# Perfectly Inelastic Collision
(*aka "choc mous"*)

All material points have the same speed.
$$\forall i \in [1,n] \; \; \; \vec{V'_i} = \vec{V'}$$