Deforming Diamond
Ciprian S. Borcea, Ileana Streinu
TL;DR
This paper investigates the geometric deformation properties of diamond-like frameworks modeled as bar-and-joint structures, focusing on volume changes in arbitrary dimensions to understand their rigidity and flexibility.
Contribution
It introduces a mathematical framework for analyzing deformations of diamond structures as periodic bar-and-joint frameworks across any dimension.
Findings
Diamond frameworks are not rigid when modeled geometrically.
Volume variation of the unit cell can be characterized mathematically.
The study extends deformation analysis to arbitrary dimensions.
Abstract
For materials science, diamond crystals are almost unrivaled for hardness and a range of other properties. Yet, when simply abstracting the carbon bonding structure as a geometric bar-and-joint periodic framework, it is far from rigid. We study the geometric deformations of this type of framework in arbitrary dimension d, with particular regard to the volume variation of a unit cell.
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Taxonomy
TopicsAdvanced Surface Polishing Techniques · Diamond and Carbon-based Materials Research