Articles | Volume 12, issue 4
Research article
15 Apr 2021
Research article |  | 15 Apr 2021

Analytical solution for residual stress and strain preserved in anisotropic inclusion entrapped in an isotropic host

Xin Zhong, Marcin Dabrowski, and Bjørn Jamtveit

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Cited articles

Abramowitz, M. and Stegenm, I. A.: Handbook of Mathematical Functions, Dover Publications, New York, p. 319, 1964. 
Alvaro, M., Mazzucchelli, M. L., Angel, R. J., Murri, M., Campomenosi, N., Scambelluri, M., Nestola, F., Korsakov, A., Tomilenko, A. A., Marone, F., and Morana, M.: Fossil subduction recorded by quartz from the coesite stability field, Geology, 48, 24–28,, 2020. 
Angel, R. J., Mazzucchelli, M. L., Alvaro, M., and Nestola, F.: EosFit-Pinc: A simple GUI for host-inclusion elastic thermobarometry, Am. Mineral., 102, 1957–1960,, 2017. 
Angel, R. J., Murri, M., Mihailova, B., and Alvaro, M.: Stress, strain and Raman shifts, Z. Krist.-Cryst. Mater., 234, 129–140,, 2019. 
Ashley, K. T., Caddick, M. J., Steele-MacInnis, M. J., Bodnar, R. J., and Dragovic, B.: Geothermobarometric history of subduction recorded by quartz inclusions in garnet, Geochem. Geophy. Geosy., 15, 350–360,, 2014. 
Short summary
Elastic thermobarometry is an useful tool to recover paleo-pressure and temperature. Here, we provide an analytical model based on the Eshelby solution to calculate the residual stress and strain preserved in a mineral inclusion exhumed from depth. The method applies to ellipsoidal, anisotropic inclusions in infinite isotropic hosts. A finite-element method is also used for a facet effect. Volumetrically averaged stress is shown to be a good proxy for the overall heterogeneous stress stage.