In numerous engineering and science applications understanding the dynamic behavior of two interacting particles plays an indispensable role as it is the foundation based upon which the behavior of a large number of particles may be predicted. When two particles interact, two prominent forces of adhesion and elasticity are at work and, in some respect, in competition. This is especially true when particle-particle collision dynamics is of interest. Upon collision, two particles either develop physical bond, coalesce to form an agglomeration or rebound, each following a distinct path. A promising theory to address particle-particle collision dynamics is due to Johnson, Kendal and Roberts [1] referred to as the JKR method. However, JKR suffers from two main shortcomings in application to particle dynamics. These are (1) implicit relations between force and displacement and (2) representation of a two-particle system as a conservative system. These shortcomings were treated in [2] by first deriving a highly accurate approximate equation based on the JKR theory in which force and displacement are explicitly related and the extension of the JKR theory wherein the Kelving-Voigt viscoelastic model is used instead of the elastic model. This formulation provides an opportunity to study particle-particle collision dynamics, which is the study in the present paper.

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