Mechanistic framework for reduced-order models in soft materials: Application to three-dimensional granular intrusion
Name
agarwal-et-al-2023-mechanistic-framework-for-reduced-order-models-in-soft-materials-application-to-three-dimensional.pdf
Size
38.1 MB
Format
Adobe PDF
Checksum (MD5)
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Author(s)
Agarwal, Shashank
Goldman, Daniel I.
Kamrin, Ken
Date Issued
January 17, 2023
Journal
Proceedings of the National Academy of Sciences
Publisher
Proceedings of the National Academy of Sciences
Citation
Agarwal, Shashank, Goldman, Daniel I. and Kamrin, Ken. 2023. "Mechanistic framework for reduced-order models in soft materials: Application to three-dimensional granular intrusion." Proceedings of the National Academy of Sciences, 120 (4).
Version
Final published version
Abstract
Soft materials often display complex behaviors that transition through apparent solid- and fluid-like regimes. While a growing number of microscale simulation methods exist for these materials, reduced-order models that encapsulate the macroscale physics are often desired to predict how external bodies interact with soft media. Such an approach could provide direct insights in diverse situations from impact and penetration problems to locomotion over natural terrains. This work proposes a systematic program to develop three-dimensional (3D) reduced-order models for soft materials from a fundamental basis using continuum symmetries and rheological principles. In particular, we derive a reduced-order, 3D resistive force theory (3D-RFT), which is capable of accurately and quickly predicting the resistive stress distribution on arbitrary-shaped bodies intruding through granular media. Aided by a continuum description of the granular medium, a comprehensive set of spatial symmetry constraints, and a limited amount of reference data, we develop a self-consistent and accurate 3D-RFT. We verify the model capabilities in a wide range of cases and show that it can be quickly recalibrated to different media and intruder surface types. The premises leading to 3D-RFT anticipate application to other soft materials with strongly hyperlocalized intrusion behavior.
Subjects
Multidisciplinary
MIT Department
Massachusetts Institute of Technology. Department of Mechanical Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-NoDerivatives
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1073/pnas.2214017120
