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Chapter 1 - Introduction to Analysis of Low Speed Impact

Published online by Cambridge University Press:  08 January 2010

W. J. Stronge
Affiliation:
University of Cambridge
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Summary

Philosophy is written in this grand book – I mean the universe – which stands continuously open to our gaze, but cannot be understood unless one first learns to comprehend the language in which it is written. It is written in the language of mathematics and its characters are triangles, circles and other geometric figures, without which it is humanly impossible to understand a single word of it; without these one is wandering about in a dark labyrinth.

Galileo Galilei, Two New Sciences, 1632

When a bat strikes a ball or a hammer hits a nail, the surfaces of two bodies come together with some relative velocity at an initial instant termed incidence. After incidence there would be interference or interpenetration of the bodies were it not for the interface pressure that arises in a small area of contact between the two bodies. At each instant during the contact period, the pressure in the contact area results in local deformation and consequent indentation; this indentation equals the interference that would exist if the bodies were not deformed.

At each instant during impact the interface or contact pressure has a resultant force of action or reaction that acts in opposite directions on the two colliding bodies and thereby resists interpenetration. Initially the force increases with increasing indentation and it reduces the speed at which the bodies are approaching each other.

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Chapter
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Impact Mechanics , pp. 1 - 20
Publisher: Cambridge University Press
Print publication year: 2000

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