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On the volume of the intersection of a sphere with random half spaces

✍ Scribed by Maria Shcherbina; Brunello Tirozzi

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
62 KB
Volume
334
Category
Article
ISSN
1631-073X

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πŸ“œ SIMILAR VOLUMES

Evaluation of the volume of intersection
Evaluation of the volume of intersection of a sphere with a cylinder by elliptic integrals
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We have developed an analytic expression for the volume of intersection of any cylinder with any sphere in the usual three-dimensional space. To our knowledge, it is the first time that an exact expression, valid in all cases, is presented for this volume. Here we derive this expression, show how it

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Formulas for the volume of n-simplices clipped by a half space in Rn are given in terms of the values of a function at the vertices of the simplices.

The elasto-plastic indentation of a half
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## Abstract Using the finite element method, a detailed study of the deformations and stresses produced in an elastic‐perfectly plastic half‐space indented by a rigid sphere was done. The analysis covers the transition region from the maximum elastic contact load to a state where this load has been