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Elastic resistive force theory: development and applications to flexible intruders
Lale Yılmaz1, Madison Douglas2,3, J Taylor Perron3
1Massachusetts Institute of Technology, Department of Mechanical Engineering, Cambridge, MA, USA.
A new elastic resistive force theory (RFT) models granular interactions, improving upon traditional RFT by capturing static conditions and force build-up. This enhanced model has applications in areas like plant uprooting and deformable wheel locomotion.
Area of Science:
- Geophysics
- Soil Mechanics
- Robotics
Background:
- Granular intrusion and extraction are common in off-road vehicles, construction, and agriculture.
- Existing models like resistive force theory (RFT) offer computational efficiency but struggle with static conditions and pre-flow force dynamics.
Purpose of the Study:
- To address limitations of traditional RFT by developing an elastic RFT (eRFT) model.
- To enable accurate simulation of granular interactions under static and dynamic conditions.
Main Methods:
- Introduced eRFT by splitting intruder motion into elastic and plastic components.
- Developed a method to couple RFT or eRFT with deformable intruders.
- Applied eRFT to simulate plant uprooting, modeling roots as nonlinear inextensible beams.
Main Results:
- eRFT successfully models elastic force build-up before granular flow.
- The coupled model accurately simulates complex scenarios like plant uprooting.
- Demonstrated the model's capability to handle deformable intruders.
Conclusions:
- eRFT provides a more comprehensive approach to modeling granular resistive forces.
- The ability to couple with deformable objects opens new simulation possibilities.
- Potential applications include deformable wheel locomotion and advanced agricultural robotics.
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