Volumetric response of an ellipsoidal liquid inclusion: implications for cell mechanobiology
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Elastic composites containing liquid inclusions exist widely in nature and in engineered systems. The volumetric response of liquid inclusions is important in many cases, such as an isolated cell embedded in an extracellular matrix or an oil pocket embedded within shale. In this study, we developed a model for describing the volumetric response of an ellipsoidal liquid inclusion. Specifically, we investigated the volumetric response of an ellipsoidal liquid inclusion embedded in a three-dimensional (3D) matrix through an analytical expression of the volumetric response. We performed parametric analysis and found that loading along the shortest axis can induce the most volume change, while loading along the longest axis can induce the least volume change. We also found that the volumetric response decreases with increasing Poisson ratio of the matrix. These results could be used to understand some cell behavior in a 3D matrix, for example, cell alignment under mechanical load.
KeywordsLiquid inclusion Liquid compressibility Inclusion theory Solid–liquid interaction
This work was supported by the National Natural Science Foundation of China (Grants 11522219 and 11532009), the National Institutes of Health (Grant U01EB016422), and the National Science Foundation through the Science and Technology Center for Engineering Mechanobiology (Grant CMMI 1548571).
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