2003
DOI: 10.1002/nme.833
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A new rigid‐viscoplastic model for simulating thermal strain effects in metal‐forming processes

Abstract: SUMMARYA new rigid-viscoplastic model that includes the e ect of thermal strains when modelling steady-state metal-forming processes was developed. A symmetric approximation to the resulting non-symmetric stiness matrix was derived. The thermo-mechanical ow formulation was implemented using the pseudoconcentrations technique. The new formulation was numerically tested showing that it provides reliable results.

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Cited by 6 publications
(5 citation statements)
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“…In fact, several authors (Matsumiya et al, 1986;Miyazaki et al, 1981;Nagata et al, 1990;Won et al, 2000;Yamanaka et al, 1995) relate the risk of hot-tearing to the magnitude of these variables. Then, strains (Figure 4) and strain rates ( Figure 5) are calculated for the cases (a), (b), (c) and (d) for a circular cross-section with a diameter of 300 mm and a casting speed of 1 m min -1 , using an in-house finite-elements 3D Eulerian model (Dvorkin and Toscano, 2003) with constant viscosity. The boundary conditions fix the bar location at the straightening points but allow it to take any position between them.…”
Section: Traditional Vs Continuous Straighteningmentioning
confidence: 99%
“…In fact, several authors (Matsumiya et al, 1986;Miyazaki et al, 1981;Nagata et al, 1990;Won et al, 2000;Yamanaka et al, 1995) relate the risk of hot-tearing to the magnitude of these variables. Then, strains (Figure 4) and strain rates ( Figure 5) are calculated for the cases (a), (b), (c) and (d) for a circular cross-section with a diameter of 300 mm and a casting speed of 1 m min -1 , using an in-house finite-elements 3D Eulerian model (Dvorkin and Toscano, 2003) with constant viscosity. The boundary conditions fix the bar location at the straightening points but allow it to take any position between them.…”
Section: Traditional Vs Continuous Straighteningmentioning
confidence: 99%
“…In previous publications we reported the algorithms that we developed for implementing this technique in our computer code METFOR and we also reported several METFOR applications for the analyses of industrial steel forming processes [5][6][7][8][9][10][11][12].…”
Section: Introductionmentioning
confidence: 99%
“…The flow formulation [2], implemented via the pseudo-concentrations technique [3,4], has proved to be a very powerful tool for modelling bulk metal forming processes. In previous publications we reported the algorithms that we developed for implementing this technique in our computer code METFOR and we also reported several METFOR applications for the analyses of industrial steel forming processes [5][6][7][8][9][10][11][12].…”
Section: Introductionmentioning
confidence: 99%
“…Plohr and Sharp presented conservative Eulerian formulations for elastic flow and plasticity in . Dvorkin and colleagues implemented flow formulations using an Eulerian description of motion for analyzing transient and stationary metal forming processes in , while Trangenstein and Colella and Miller and Colella developed shock‐capturing Eulerian numerical methods for general hyperelasticity. In addition to solving the momentum equations, Eulerian formulations require solving additional equations for the transport of either the stress or the deformation gradient.…”
Section: Introductionmentioning
confidence: 99%