Elastic medium containing interacting fluid inclusions

We extend the Eshelby's (equivalent) inclusion method to consider ellipsoidal volumes occupied by fluids of limited compressibility. The new method decomposes the problem into two parts - a stress free transformation problem, and a volume compatibility problem. Implemented in an open source computer code, Esh3D, the new method allows one to model interacting and fluid-solid mixed inclusions in whole and truncated spaces. We verify the new method against finite element (FE) method, showing it to be accurate and efficient.

Automated summary

In this study, the Eshelby's equivalent inclusion method was extended to incorporate volumes occupied by fluids of limited compressibility. The new method decomposes the problem into stress free transformation and volume compatibility problems, allowing for accurate and efficient modeling of interacting and fluid-solid mixed inclusions. The method was verified against the finite element method and showed promising results.