Analysis of microsphere oblique impact with planar surfaces based on the independent friction-restitution approach

Independent friction-restitution modeling of two-disk collisions

“…These values fall within the range of values of these coefficients calculated for different pairs of materials applying the IFR model to the literature data. [57][58][59][60] These values are coincident with the respective values of e n and l calculated in the literature applying classic models 11,31,[33][34][35][39][40][41][42][43]46,47 where the values of l ranged between 0.05 40 and 0.20, 39 while the values of e n ranged between 0.53 46 and 0.97 33,40 (see Ref. 59 for a comparative table ).…”

“…As a result, the independent frictionrestitution modeling (IFR) yields analytical solutions of the motion equations using a unique set of values of the coefficients of normal restitution, tangential restitution, and friction regardless of the impact of angle values. Application of this closure to the impact of spheres and disks on infinitely massive rough planes provided a satisfactory agreement with experimental data in the literature 10,11,28,31,[33][34][35][39][40][41][42][43][44][45][46][47] for macrospheres 58,59 and microspheres, 60 admitting the refinement by incorporating rolling friction effects, 61 in line with Iwashita and Oda 62 and Orlando and Shen. 63 In particular, the IFR formulation permits to interpret several of the previously mentioned "anomalous" experimental data 35,39,40,44,45 now becoming as "ordinary" behavior predicted by the model.…”

“…In this percussion center approach, the condition of impact with sticking is formulated as assuming that the tangential velocities of the percussion centers in the absence of restitution effects are equal just after the impact. 59,60 This model will be termed in the following as "percussion center model." In the case of homogeneous disks, these are located at a distance R/k from the center (see scheme in Fig.…”