Normal and tangential force-displacement relations for frictional elasto-plastic contact of spheres

By Loc Vu-Quoc, Xiang Zhang, L. Lesburg. 2001

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Modeling and simulation in tribology across scales: An overview (2018, background): “Noticeable examples are studies of particle-particle interacti ons to derive elastic, viscoelastic and plastic constitutive laws that capture the right kinematics during particle collisions [229-232] and the integration of the effect of adhesion [233,234], pa rticle shape [235,236] and roughness [23”
On the accuracy of the Hertz model to describe the normal contact of soft elastic spheres (2008, result): “A similar kind of FE verification of the Hertz theory has been performed before [ 27 ], yielding a similar close agreement between the two.”
A comprehensive survey of the analytical, numerical and experimental methodologies for dynamics of multibody mechanical systems with clearance or imperfect joints (2018, background): “[162, 163], Burgin and Aspden [164], Bordbar and Hyppänen [165], Yoshioka [166], Villaggio [167], Ramírez et al.”
Damage analysis and dynamic response of elasto-plastic laminated composite shallow spherical shell under low velocity impact (2010, methodology): “Based on this assumption, Vu-Quoc et al. (2001) proposed a NFD contact model for the elasto-perfectly plastic material and regarded the contact pressure in the plastic region no longer increase after yield.”