Contact and Quasi-Static Impact of a Dissipationless Mechanical Model

TL;DR

This paper investigates elastic collisions and contacts using a 2D spring-mass model, successfully reproducing Hertzian contact and quasi-static impact theories through numerical and theoretical analysis.

Contribution

It introduces a dissipationless mechanical model that accurately reproduces classical contact and impact theories in elastic materials.

Findings

Reproduces Hertzian contact theory at equilibrium

Validates quasi-static impact theory for low-speed impacts

Demonstrates the effectiveness of a 2D spring-mass model

Abstract

Collisions and contacts of elastic materials are numerically and theoretically investigated. Using a two-dimensional spring-mass model with defect particles under the free boundary condition, we reproduce the Hertzian contact theory at equilibrium and the quasi-static theory for low speed impacts.