Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Hertz Elastic Dynamics of Two Colliding Elastic Spheres

Version 1 : Received: 5 September 2020 / Approved: 7 September 2020 / Online: 7 September 2020 (03:20:09 CEST)

How to cite: Sun, B. Hertz Elastic Dynamics of Two Colliding Elastic Spheres. Preprints 2020, 2020090151. https://doi.org/10.20944/preprints202009.0151.v1 Sun, B. Hertz Elastic Dynamics of Two Colliding Elastic Spheres. Preprints 2020, 2020090151. https://doi.org/10.20944/preprints202009.0151.v1

Abstract

This paper revisits a classic problem in physics - Hertz elastic dynamics of two colliding elastic spheres. This study obtains impact period in terms of hypergeometric function and successfully combines Deresiewicz's three segmental solutions into one single solution. Our numerical investigation confirms that Deresiewicz's inversion is a good approximation. As an essential part of this study, a general Maple code is provided.

Keywords

Hertz impact dynamics; exact solution; numerical solution; inversion; Maple

Subject

Physical Sciences, Applied Physics

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