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Application of Bernoulli equation in cold forming of Steel
Hi All
I know it might sound weird, but can I use the bernoulli equation to know the velocity of steel running in thinner throtles in cold forming, that might have a higher velocity, via analytic method. in this condition, the metal is not so much like a fluid, but it's deforming ,and it's behavior and speed is different when it passes in different cross section areas
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modeling metal forming process
Farzad,
During cold forming of steel, the metal still behaves like an elastic solid rather than fluid, that is, the metal resists shear stress unlike a fluid that flows under applied shear stress. You can model cold forming of steel using Arbitrary Lagrangian-Eulerian or purely Eulerian solid mechanics as done in the following references:
1. Dvorkin EN, Cavaliere MA, Goldschmit MB. A three field element via Augmented Lagrangian for modelling bulk metal forming processes. Comput. Mech. 1995; 17(1–2):1–9.
2. Demarco D, Dvorkin EN. Modeling of metal forming processes: implementation of an iterative solver in the flow formulation. Computers & Structures 2001; 79(20–21):1933–1942.
3. Dvorkin EN, Toscano RG. A new rigid-viscoplastic model for simulating thermal strain effects in metal-forming processes. International Journal for Numerical Methods in Engineering 2003; 58(12):1803–1816.
4. Demarco D, Dvorkin EN. An Eulerian finite element formulation for modelling stationary finite strain elastic deformation processes. International Journal for Numerical Methods in Engineering 2005; 62(8):1038–1063.
5. Berazategui DA, Cavaliere MA, Montelatici L, Dvorkin EN. On the modelling of complex 3D bulk metal forming processes via the pseudo-concentrations technique. application to the simulation of the Mannesmann piercing process. International Journal for Numerical Methods in Engineering 2006; 65(7):1113–1144.
6. R. Duddu, L.L. Lavier, T.J.R. Hughes, V.M. Calo, A finite strain Eulerian formulation for compressible and nearly incompressible hyperelasticity using high-order B-spline finite elements, Internat. J. Numer. Methods Engrg. 89 (6) (2012) 762–785.