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Characterizing viscoelastic materials via ensemble-based data assimilation of bubble collapse observations

Spratt, Jean-Sebastien and Rodriguez, Mauro and Schmidmayer, Kevin and Bryngelson, Spencer H. and Yang, Jin and Franck, Christian and Colonius, Tim (2020) Characterizing viscoelastic materials via ensemble-based data assimilation of bubble collapse observations. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200908-152555309

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Abstract

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. 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 viscosity is reduced in some cases due to material damage occurring at bubble collapse.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
https://arxiv.org/abs/2008.04410arXivDiscussion Paper
ORCID:
AuthorORCID
Schmidmayer, Kevin0000-0003-0444-3098
Bryngelson, Spencer H.0000-0003-1750-7265
Colonius, Tim0000-0003-0326-3909
Additional Information:Preprint submitted to Journal of the Mechanics and Physics of Solids. This work was supported by the National Institutes of Health [grant number 2P01-DK043881]; and the Office of Naval Research [grant numbers N0014-18-1-2625, N0014-17-1-2676].
Funders:
Funding AgencyGrant Number
NIH2P01-DK043881
Office of Naval Research (ONR)N0014-18-1-2625
Office of Naval Research (ONR)N0014-17-1-2676
Subject Keywords:A. dynamics; B. constitutive behaviour; B. viscoelastic material; C. numerical algorithms; data assimilation
Record Number:CaltechAUTHORS:20200908-152555309
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200908-152555309
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:105278
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:08 Sep 2020 22:32
Last Modified:18 Nov 2020 19:45

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