Extending Esh3D Code to Solve Interacting Eshelby's Inhomogeneity Problems
Name
2019EA000594.pdf
Description
Published version
Size
1.05 MB
Format
Unknown
Checksum (MD5)
06c97b32acc30d7b643a49c174582aa2
Author(s)
Meng, Chunfang
Date Issued
August 2019
Journal
Earth and Space Science
Publisher
American Geophysical Union (AGU)
Citation
Meng, Chunfang. 2019. "Extending Esh3D Code to Solve Interacting Eshelby's Inhomogeneity Problems." Earth and Space Science, 6 (8).
Version
Final published version
Abstract
© 2019. The Authors. I present a new development of an open source code Esh3D in solving interacting Eshelby's inhomogeneity problems in whole, half, and finite spaces. The code resolves the interaction between multiple inhomogeneity bodies by assembling and solving a global linear system. For half or finite space problems, the code imposes Neumann and Dirichlet boundary conditions and resolves the surface-body interaction by hybridizing Eshelby's analytical solutions with a numerical part. I demonstrate the impact of multibody interaction and surface-body interaction by comparing the results of different problems in whole and finite spaces. This analytical-numerical hybrid approach, compared to conventional finite element method, is inexpensive and flexible in modeling multiple and evolving inhomogeneity bodies.
MIT Department
Massachusetts Institute of Technology. Department of Earth, Atmospheric, and Planetary Sciences
Terms of Use
Creative Commons Attribution 4.0 International license
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1029/2019ea000594
