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Updated: Jun 4, 2025

Intermediate Strain Rate Material Characterization with Digital Image Correlation
Published on: March 1, 2019
Small-angle rigid-unit modes requiring linear strain compensation
Bryce T Eggers1, Harold T Stokes1, Branton J Campbell1
1Department of Physics and Astronomy, Brigham Young University, Provo, Utah 84602, USA.
Abstract:
Group-theoretical and linear-algebraic methods and tools have recently been developed that aim to exhaustively identify the small-angle rotational rigid-unit modes (RUMs) of a given framework material. But in their current form, they fail to detect RUMs that require a compensating lattice strain which grows linearly with the amplitude of the rigid-unit rotations. Here, we present a systematic approach to including linear strain compensation within the linear-algebraic RUM-search method, so that any geometrically possible small-angle RUM can be detected.
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