Characterizing viscoelastic materials via ensemble-based data assimilation of bubble collapse observations
Viscoelastic material properties at high strain rates are needed to model many biological and medical systems. Bubble cavitation can induce such strain rates, and the resulting bubble dynamics are sensitive to the material properties. Thus, in principle, these properties can be inferred via measurem...
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| Vydané v: | Journal of the mechanics and physics of solids Ročník 152; s. 104455 |
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| Hlavní autori: | , , , , , , |
| Médium: | Journal Article |
| Jazyk: | English |
| Vydavateľské údaje: |
London
Elsevier Ltd
01.07.2021
Elsevier BV Elsevier |
| Predmet: | |
| ISSN: | 0022-5096, 1873-4782 |
| On-line prístup: | Získať plný text |
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| Shrnutí: | Viscoelastic material properties at high strain rates are needed to model many biological and medical systems. Bubble cavitation can induce such strain rates, and the resulting bubble dynamics are sensitive to the material properties. Thus, in principle, these properties can be inferred via measurements of the bubble dynamics. Estrada et al. (2018) demonstrated such bubble-dynamic high-strain-rate rheometry by using least-squares shooting to minimize the difference between simulated and experimental bubble radius histories. We generalize their technique to account for additional uncertainties in the model, initial conditions, and material properties needed to uniquely simulate the bubble dynamics. Ensemble-based data assimilation minimizes the computational expense associated with the bubble cavitation model , providing a more efficient and scalable numerical framework for bubble-collapse rheometry. We test an ensemble Kalman filter (EnKF), an iterative ensemble Kalman smoother (IEnKS), and a hybrid ensemble-based 4D-Var method (En4D-Var) on synthetic data, assessing their estimations of the viscosity and shear modulus of a Kelvin–Voigt material. Results show that En4D-Var and IEnKS provide better moduli estimates than EnKF. Applying these methods to the experimental data of Estrada et al. (2018) yields similar material property estimates to those they obtained, but provides additional information about uncertainties. In particular, the En4D-Var yields lower viscosity estimates for some experiments, and the dynamic estimators reveal a potential mechanism that is unaccounted for in the model, whereby the apparent viscosity is reduced in some cases due to inelastic behavior, possibly in the form of material damage occurring at bubble collapse. |
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| Bibliografia: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 content type line 23 Jean-Sebastien Spratt Conceptualization, Investigation, Methodology – data assimilation and bubble dynamics, Software, Writing – Original Draft, Writing – Review & Editing. Mauro Rodriguez: Methodology – bubble dynamics, Writing – Review & Editing. Kevin Schmidmayer: Conceptualization, Writing – Review & Editing. Spencer H. Bryngelson: Methodology – bubble dynamics, Writing – Review & Editing. Jin Yang: Software, Writing – Review & Editing. Christian Frank: Writing – Review & Editing Supervision. Tim Colonius: Conceptualization, Methodology, Writing – Review & Editing Supervision, Funding acquisition. Author Statement |
| ISSN: | 0022-5096 1873-4782 |
| DOI: | 10.1016/j.jmps.2021.104455 |