The Role of Constitutive Formulation in the Analysis of Hot Rolling

Lenard, John; Wang, F.; Nadkarni, G.

doi:10.1115/1.3225987

Cited by 23 publications

(7 citation statements)

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“…It is seen from (2), (13) and (26) that g = 0 at ϕ = 0. The solution of Equation (32) satisfying this condition is:…”

Section: General Velocity Solutionmentioning

confidence: 91%

“…An applied aspect of the solution found, is that it can be used in conjunction with the method for analysis and the design of flat-rolling proposed in [10]. It is known that solutions, found by means of this method, show a good comparison with experiment [11][12][13], and are used for verifying solutions found by means of other approximate methods [14,15]. The importance of developing fast approximate methods for the analysis and design of the process of rolling has been emphasized in [16].…”

Section: Introductionmentioning

confidence: 97%

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Compression of a Polar Orthotropic Wedge between Rotating Plates: Distinguished Features of the Solution

et al. 2019

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An infinite wedge of orthotropic material is confined between two rotating planar rough plates, which are inclined at an angle 2α. An instantaneous boundary value problem for the flow of the material is formulated and solved for the stress and the velocity fields, the solution being in closed form. The solution may exhibit the regimes of sliding or sticking at the plates. It is shown that the overall structure of the solution significantly depends on the friction stress at sliding. This stress is postulated by the friction law. Solutions, which exhibit sticking, may exist only if the postulated friction stress at sliding satisfies a certain condition. These solutions have a rigid rotating zone in the region adjacent to the plates, unless the angle α is equal to a certain critical value. Solutions which exhibit sliding may be singular. In particular, some space stress and velocity derivatives approach infinity in the vicinity of the friction surface.

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“…It is seen from (2), (13) and (26) that g = 0 at ϕ = 0. The solution of Equation (32) satisfying this condition is:…”

Section: General Velocity Solutionmentioning

confidence: 91%

Section: Introductionmentioning

confidence: 97%

Compression of a Polar Orthotropic Wedge between Rotating Plates: Distinguished Features of the Solution

et al. 2019

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“…Therefore, the velocity component must be continuous across this interface, where 2 = −ℎ (2) and 1 = ℎ (1) . Using (22) and (24) it is possible to find that this condition is satisfied if…”

Section: An Instantaneous Solution For the Strip Of Two Plastic Layersmentioning

confidence: 99%

“…At (2) < the solution given in Section 4 should be used. In particular, it follows from (22) and (24) that ℎ (2) = − − 2 , ℎ (1) = − 2 .…”

Section: Cold Bond Formation In Continued Compression Of Two-layer Stmentioning

confidence: 99%

“…Actually, a general method satisfying the requirements specified has been proposed in [20]. The method is widely used and shows excellent agreement with experiment for different materials (see, e.g., [21][22][23]), including rolling of very thin sheets (nanoand mesoscopic scale) as reported in [24]. The method proposed in [20] is used to verify other theories of rolling (see, e.g., [25,26]).…”

Section: Introductionmentioning

confidence: 96%

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A New Solution for the Compression of a Two-Layer Strip and Its Application to Analysis of Bonding by Rolling

Alexandrov

Mustafa²

2014

Advances in Materials Science and Engineering

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The paper presents a theoretical study on the compression of a two-layer strip of strain-hardening rigid-plastic materials between rigid platens. Semianalytical solutions are obtained for stress and velocity fields in each layer. Special attention is devoted to the conditions corresponding to the beginning of cold bond formation between the layers. Depending on input parameters various general deformation patterns are possible. In particular, there exists such a range of process parameters that the soft metal layer yields while the hard metal layer is rigid at the beginning of the process. As the deformation proceeds, yielding also starts in the hard metal layer and the entire strip becomes plastic. This is a typical deformation pattern adopted in describing the process of joining by rolling. However, at a certain range of input parameters plastic deformation of the entire strip begins at the initial instant. Moreover, it is possible that only the hard metal layer yields while the soft metal layer does not. This deformation pattern takes place when the thickness of the soft metal layer is much smaller than that of the hard metal layer.

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Finite element based model of structure development in the hot rolling process

Pietrzyk

1990

Steel Research

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An existing thermomechanical finite-element model of the hot rolling process is used to simulate the structure evolution in the strip. The equations which describe the grain-size variations during the hot deformation are implemented in the model. The local values of temperatures, strain rates and strains are used in calculations, allowing the determination of the grain-size distribution across the strip. The results of calculations carried out for the seven-stand hot-strip mill are presented in this paper.Modell zur Gefugeentwicklung beim Warmwalzen. Mit einem vorhandenen thermomechanischen Finite-Elemente-Modell des Warmwalzprozesses wird die GefUgeausbildung im Band simuliert. Die Gleichungen zur Beschreibung der Korngri:iBenvariationen bel der Warmumformung sind im Modell ausgefUhrt. Mit den i:irtlichen Werten fUr Temperatur, Verformungsgeschwindigkeit und Verformung wird die Korngri:iBenverteilung im Band berechnet. Die Ergebnisse der Berechnungen, ausgefUhrt an einer 7gerGstigen WarmbandstraBe, werden in der vorliegenden Arbeit prasentiert,

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The Role of Constitutive Formulation in the Analysis of Hot Rolling

Cited by 23 publications

References 0 publications

Compression of a Polar Orthotropic Wedge between Rotating Plates: Distinguished Features of the Solution

Compression of a Polar Orthotropic Wedge between Rotating Plates: Distinguished Features of the Solution

A New Solution for the Compression of a Two-Layer Strip and Its Application to Analysis of Bonding by Rolling

Finite element based model of structure development in the hot rolling process

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