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Modelling and Simulation for dent/deformation removal
Henry TanTuesday, 24/2/09
Collapse of a Plate
r: radius of collapsed area
R: radius of the pressurized areah: thickness
2
2.81cr Y
hp
R
0.73r R
pressure p
Material regarded as rigid/perfect plastic:
Rr
Critical pulling pressure to cause plate collapse
2 22.81cr cr YF R p h Critical pulling force to generate collapse
collapsedarea Collapse refers to loss of the load-
carrying capacity of a component
Rigid / Perfect-Plastic Material
0
100
200
300
400
500
600
0 0.005 0.01 0.015 0.02
Strain
Str
ess
(Mpa
) rigid/perfect plastic
Test data for a steel
elastic/linear-hardening
Sample 1: Twist-A-Dent
Twist the turning knob until the dent pops.
pulling bridge
Ads from Ding King: Dent Repair Tool
Sample 1: Calculations
Thickness: h = 1.5mm
2
3
2.81
2.5 10 N
cr YF h
400MPaY Yield stress:
Force needed to generate plastic collapse:
Radius of pulling bridge support support 0.04mR
Pressure on the bridge support during collapsing support 2
support
3
2
2
2.5 100.25MPa
2 3.14 0.04
crFp
R
Vacuum pressure to lift the dent to it's normal position
Sample 2: Pulling
Sample 2: Force Balance of the Puller
Pumping force
Pulling force
Pressure exerted by the dent to the puller
Finite Element Method: Elements and Nodes
Meshing: to create elements and nodes
Nodes: to save information
Element: to Interpolate information
Tetrahedron element
System Equations: Establishing and Solving
Solving equations:
nonlinear equations (involving plasticity)
Build up system equations:
Approach 1: Force balance equations for each node
Approach 2: Minimize the potential energy of the system
FEM Output for Design
Output: (deformation field, stress field)
Using output for design guidance
As a FEM User
1. Geometry 2. Materials
4. Load (increasing)3. Boundary conditions
0
100
200
300
400
500
600
0 0.005 0.01 0.015 0.02
Strain
Str
ess
(Mpa
)
Inputs for FEM processing (pre-processing)
Initial Residual Stresses, Damaged Material
Initial residual stresses and damaged material properties are unknown.
Denting process needed to generate the stresses and materials before pulling.
Dynamic denting (compared with static pulling/recovering) needs to be considered.