Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

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Transient disturbances in a half-space during the first stage of frictionless indentation of a smooth rigid die of arbitrary shape


Authors: A. R. Robinson and J. C. Thompson
Journal: Quart. Appl. Math. 33 (1975), 215-223
DOI: https://doi.org/10.1090/qam/99664
MathSciNet review: QAM99664
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Abstract | References | Additional Information

Abstract: A solution is obtained by the method of self-similar potentials for the time-spatial distribution of the contact stress between a homogeneous, isotropic, linearly elastic half-space and a smooth rigid die having an arbitrary indenting velocity and shape. The solution holds as long as the outward speed of the contact zone does not fall below the speed of the dilatational wave in the elastic medium. A proof is given that the instantaneous value of the force required to indent the die during this stage of contact is directly proportional to the product of the area of contact and the velocity of indentation at that instant.


References [Enhancements On Off] (What's this?)

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Additional Information

DOI: https://doi.org/10.1090/qam/99664
Article copyright: © Copyright 1975 American Mathematical Society


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