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Title: Stress inversion meets plasticity theory: A review of the theories of fault-slip analysis from the perspective of the deviatoric stress-strain space
Authors: Yamaji, Atsushi
Sato, Katsushi
Author's alias: 山路, 敦
佐藤, 活志
Keywords: Stress space
Fault-slip analysis
Paleostress
Hyperspherical lissajous
Issue Date: Aug-2019
Publisher: Elsevier Ltd
Journal title: Journal of Structural Geology
Volume: 125
Start page: 296
End page: 310
Abstract: The mechanical behavior of materials is not affected by our choice of a coordinate system. Thus, the description of the behavior should not be affected by this choice. This is known as the principle of coordinate invariance, and is important not only for plasticity theory but for theoretical investigations in structural geology. The deviatoric stress-strain space, which fulfills the principle, is shown to be useful for the formulation of stress inversion. Problems in the inversion schemes of fault data are transformed into geometrical problems so that we can solve the problems using geometrical interpretations. In addition, the formulation gives the good basis for defining the classes of dissimilarities between reduced stress tensors that are the solutions of the inversion. We redefine the classes, here, from the standpoint of probability. It is demonstrated finally that the violation of the principle spoils the accuracy and resolution of the inversion.
Rights: © 2019. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
The full-text file will be made open to the public on 01 August 2021 in accordance with publisher's 'Terms and Conditions for Self-Archiving'
This is not the published version. Please cite only the published version. この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。
URI: http://hdl.handle.net/2433/242821
DOI(Published Version): 10.1016/j.jsg.2019.03.003
Appears in Collections:Journal Articles

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