Extending Esh3D Code to Solve Interacting Eshelby's Inhomogeneity Problems
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...
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2019-08-01
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Online Access: | https://doi.org/10.1029/2019EA000594 |
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doaj-f45e8c180ba147bca6a97b9621ea5eea2020-11-25T01:59:34ZengAmerican Geophysical Union (AGU)Earth and Space Science2333-50842019-08-01681569157710.1029/2019EA000594Extending Esh3D Code to Solve Interacting Eshelby's Inhomogeneity ProblemsChunfang Meng0Department of Earth Atmosphere and Planetary Sciences Massachusetts Institute of Technology Cambridge MA USAI 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.https://doi.org/10.1029/2019EA000594 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Chunfang Meng |
spellingShingle |
Chunfang Meng Extending Esh3D Code to Solve Interacting Eshelby's Inhomogeneity Problems Earth and Space Science |
author_facet |
Chunfang Meng |
author_sort |
Chunfang Meng |
title |
Extending Esh3D Code to Solve Interacting Eshelby's Inhomogeneity Problems |
title_short |
Extending Esh3D Code to Solve Interacting Eshelby's Inhomogeneity Problems |
title_full |
Extending Esh3D Code to Solve Interacting Eshelby's Inhomogeneity Problems |
title_fullStr |
Extending Esh3D Code to Solve Interacting Eshelby's Inhomogeneity Problems |
title_full_unstemmed |
Extending Esh3D Code to Solve Interacting Eshelby's Inhomogeneity Problems |
title_sort |
extending esh3d code to solve interacting eshelby's inhomogeneity problems |
publisher |
American Geophysical Union (AGU) |
series |
Earth and Space Science |
issn |
2333-5084 |
publishDate |
2019-08-01 |
description |
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. |
url |
https://doi.org/10.1029/2019EA000594 |
work_keys_str_mv |
AT chunfangmeng extendingesh3dcodetosolveinteractingeshelbysinhomogeneityproblems |
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1724964013954039808 |