Stochastic multiscale modeling of complex materials
Abstract/Contents
- Abstract
- Multiscale modeling and simulation of complex materials is still a formidable task. The challenge arises due to the lack of scale separation in systems that exhibit nonlinear and chaotic dynamics. In this dissertation, we develop stochastic, multiscale and data-driven methods for modeling complex systems, with a focus on the dynamic compaction of heterogeneous granular materials. We first devise an energy-conserving multiscale hybrid model that explicitly accounts for macropore compaction dynamics at the mesoscale. Subsequently, we develop a probabilistic generalization that models the heterogeneous initial microstructure as a random field to explain thermal localization. The results motivate a data-driven sparse regression method to discover analytical expressions for PDF equations from Monte Carlo simulation data. This method has shown to be a promising direction for data-driven coarse-graining in a wide range of physics and engineering applications. In addition, we introduce model uncertainty and subscale fluctuations that arise due chaotic intergranular stresses through the formalism of stochastic differential equations (SDE). Finally, a hybrid algorithm that couples SDEs with PDEs is developed to combine fine- and coarse-grained probabilistic models in the same domain
Description
| Type of resource | text |
|---|---|
| Form | electronic resource; remote; computer; online resource |
| Extent | 1 online resource |
| Place | California |
| Place | [Stanford, California] |
| Publisher | [Stanford University] |
| Copyright date | 2020; ©2020 |
| Publication date | 2020; 2020 |
| Issuance | monographic |
| Language | English |
Creators/Contributors
| Author | Bakarji, Joseph |
|---|---|
| Degree supervisor | Tartakovsky, Daniel |
| Thesis advisor | Tartakovsky, Daniel |
| Thesis advisor | Kovscek, Anthony R. (Anthony Robert) |
| Thesis advisor | Tchelepi, Hamdi |
| Degree committee member | Kovscek, Anthony R. (Anthony Robert) |
| Degree committee member | Tchelepi, Hamdi |
| Associated with | Stanford University, Department of Energy Resources Engineering |
Subjects
| Genre | Theses |
|---|---|
| Genre | Text |
Bibliographic information
| Statement of responsibility | Joseph Bakarji |
|---|---|
| Note | Submitted to the Department of Energy Resources Engineering |
| Thesis | Thesis Ph.D. Stanford University 2020 |
| Location | electronic resource |
Access conditions
- Copyright
- © 2020 by Joseph Bakarji
- License
- This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).
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