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Modelling and Simulation for dent/deformation removal Henry Tan Tuesday, 24/2/09. Collapse of a Plate. r : radius of collapsed area R : radius of the pressurized area h : thickness. r. R. pressure p. collapsed area.
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Modelling and Simulation for dent/deformation removal Henry Tan Tuesday, 24/2/09
Collapse of a Plate r: radius of collapsed area R: radius of the pressurized area h: thickness r R pressure p collapsed area Collapse refers to loss of the load-carrying capacity of a component Material regarded as rigid/perfect plastic: Critical pulling pressure to cause plate collapse Critical pulling force to generate collapse
Rigid / Perfect-Plastic Material elastic/linear-hardening rigid/perfect plastic Test data for a steel
Sample 1: Twist-A-Dent Ads from Ding King: Dent Repair Tool pulling bridge Twist the turning knob until the dent pops.
Sample 1: Calculations Yield stress: Thickness: h = 1.5mm Force needed to generate plastic collapse: Radius of pulling bridge support Pressure on the bridge support during collapsing
Sample 2: Pulling Vacuum pressure to lift the dent to it's normal position
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 Build up system equations: Approach 1: Force balance equations for each node Approach 2: Minimize the potential energy of the system Solving equations: nonlinear equations (involving plasticity)
FEM Output for Design Output: (deformation field, stress field) Using output for design guidance
As a FEM User Inputs for FEM processing (pre-processing) 2. Materials 1. Geometry 3. Boundary conditions 4. Load (increasing)
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.