A Reformulation of the Browaeys and Chevrot Decomposition of Elastic Maps
Description:
An elastic map T associates stress with strain in some material. A symmetry of T is a rotation of the material that leaves T unchanged, and the symmetry group of T consists of all such rotations. The symmetry class of T describes the symmetry group but without the orientation information. With an eye toward geophysical applications, Browaeys and Chevrot (2004) developed a theory which, for any elastic map T and for each of six symmetry classes Σ, computes the "Σ-percentage" of T. The theory also finds a "hexagonal approximation" — an approximation to T whose symmetry class is at least transverse isotropic. We reexamine their theory and recommend that the Σ-percentages be abandoned. We also recommend that the hexagonal approximations to T be replaced with the closest transverse isotropic maps to T.
Session: Anisotropy Across Scales [Poster Session]
Type: Poster
Date: 5/3/2024
Presentation Time: 08:00 AM (local time)
Presenting Author: Carl
Student Presenter: No
Invited Presentation:
Authors
Walter Tape
wtape@alaska.edu
University of Alaska Fairbanks
Carl Tape
Presenting Author
Corresponding Author
ctape@alaska.edu
University of Alaska Fairbanks
A Reformulation of the Browaeys and Chevrot Decomposition of Elastic Maps