mechanical behavior of entangled, non- convex …...mechanical behavior of entangled, non-convex...
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Mechanical behavior of entangled, non-convex granular particles:
Experimental analysis of the angle of repose
Presented by: Jade Leong Professor Jose AndradeSiavash MonfaredRaj Pal
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Roadmap● Motivation
● Chosen Designs
● Objective
● Lab Experiment
● Level Set Discrete Element Method Simulations
● Result Comparisons
● Ongoing Work
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Motivations
(Keller & Jaeger, 2016)
(http://www.starexc.com/whatwedo-demolition.htm)
(Dierichs, Wood, Correa, & Menges, 2017)
(https://en.wikipedia.org/wiki/Granular_material)
(https://archpaper.com/2019/01/boston-city-hall-50-anniversary/)
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Motivations - Example of Non-Convex Granular Material
(“Public talk on Z-forms.” Youtube,uploaded by UChicagoArts, January 9, 2018.)
https://www.youtube.com/watch?v=8aPy3go6MN0&t=195s
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Chosen Non-Convex Shapes
Standard StaplesZinc Plated Steel S-Hooks
1.59 cm
0.64 cm
0.48 cm
0.16 cm 0.6
cm1.3 cm
0.1 cm
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Objective
Create a static angle of repose experiment to better understand the
mechanical behavior of the designed granular material and to validate
simulations from LS-DEM by comparing experimental results.
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What is the angle of repose (AoR)?
● Dependent on particle characteristics and
material properties
● Static AoR Test Methods○ Fixed Funnel
○ Hollow Cylinder
○ Tilting Box
● Dynamic AoR Test Methods○ Revolving cylinder/ drum
(Al-Hashemi & Al-Amoudi, 2018)
“Defined as the angle of inclination of the free surface to the horizontal of a conical bulk solid pile”
(Frankowski & Morgeneyer, 2013)
(https://en.wikipedia.org/wiki/Angle_of_repose)
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Lab Experiment: Methods
15 cm
5.5 cm
Hollow Cylinder Method
8.6 cm
12 cm
700 S-hooksDi= 8.6cm H = 7cm
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Pile formation with wall removal
11 cm
8.6cm
0.5 cm
Fixed Funnel Method
26.5 cm
700 S-hooks Funnel height = 9.5cm
Staple AoR
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Lab Experiment: Image Processing
Matlab ImageJ - FIJI
Binarized Image
Cropped Left Slope Cropped Right Slope
Original Image
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Outlining EdgesAngle Matlab ImageJ
Left 28.57o 26.31o
Right 25.02o 44.20o
Zoom on Right Slope Zoom on Left Slope
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Lab Experiments: Results9
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Simulations
Level Set Discrete Element Method (LS-DEM):● Simulates systems of arbitrarily shaped
particles using level set functions● Captures the kinematics and mechanics
of a system of discrete particles
Visualization Toolkit (VTK):● Software system for 3D computer
graphics, image processing and visualization
(https://en.wikipedia.org/wiki/VTK)
LeaderFollower
(Kawamoto, Andò, Viggiani, & Andrade, 2016)
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VTK
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Result Comparison11
Fixed Funnel Method400 S-hook particles
H = 7.5 cm
H
7.5 cm
400 S-hook particles
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Result ComparisonAngles Simulation Experiment
Left 74.98o 38.91o
Right 41.31o 26.82o
Experiment
Left Angle
Simulation
Left Angle
Right Angle
Right Angle
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Ongoing Work
● Continue testing the angle of repose for
both S-hook particles and staples
● Understand other mechanical
properties through other experiments○ Uniaxial compression
○ Three Point Bending
○ Vibration Testing
● Create and validate simulations that
compare to lab testing
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Thank youProfessor José Andrade
Siavash MonfaredRaj Pal
Computational Geomechanics groupStudent Faculty Programs
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