A note on Hunt and Crossley model with generalized visco-elastic damping

Determination of contact force by compression testing of cylindrical specimens

“…The damping coefficient Dn can be determined using Eq. (1b) as derived by Sun et.al [4]. Fc=knδpgoodbreak+Dnδptrueδ˙Dn=false(0.2pgoodbreak+1.3false)()1-CORCORkntrueδ0˙where Fc is the contact force (in units of N), δ is the indentation (in units of m), p is the exponent, kn is the contact stiffness (in units of N/mp), COR is the coefficient of restitution and trueδ0˙ is the initial indentation velocity (in units of m/s).…”

“…The other parameter (Dn) in the Hunt and Crossley model (Eq. 1) can be related to the coefficient of restitution (COR) [4], the value of which can in turn be linked to the area (A) which is shaded in grey as shown in Fig. 9.Energy dissipated by viscous damping = Area of the force-displacement curveCOR=-A()p+1+Ap+12+4knδmp+122knδmp+1Eq.…”

Analytical and numerical studies on impact force profile of RC beam under drop weight impact

“…Moreover, selecting an appropriate contact law is important to predict impact force for the local contact of impact. Based on the Hertzian contact theory, pure elastic contact model and dissipative visco-elastic contact model were developed [32][33][34]. The dissipative visco-elastic contact model considers the energy loss during the impact by using the contact damping and it is used to predict contact force for impact actions [35,36].…”

An improved compliant contact force model using a piecewise function for impact analysis in multibody dynamics

“…In general, the compliant contact force model can be divided into two categories. The first category is based on the energy approach, in which the workenergy principle is used to obtain the contact force model, 13,24 such as the Hunt-Crossley model, the Lankarani-Nikravesh model and the Flores et al model. In this approach, the model is usually simplified during the derivation process for the sake of simple calculation.…”