Two-dimensional plane strain rolling: An asymptotic approach to the estimation of inhomogeneous effects

Domanti, S.; McElwain, D. L. S.

doi:10.1016/0020-7403(94)00053-m

Cited by 14 publications

(7 citation statements)

References 4 publications

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“…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]). In particular, the solution [26] based on a series expansion shows a better agreement with the Orowan solution as the number of terms in the series expansion increases.…”

Section: Introductionmentioning

confidence: 74%

“…In these cases one of the layers is rigid and the regime of sliding occurs at the bimaterial interface. The values of 1 and 2 can be found from (26) assuming that…”

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

confidence: 99%

“…The solution (30) is valid in the soft layer. In order to use (26), it is necessary to find the dependence of and 2 on (2) = ln(ℎ (2) /ℎ (2) 0 ). Replacing 1 with , 2 with 2 , with ℎ (2) , 0 with (2) 0 , with 2 , with /2, and Φ( eq ) with (33b) in (16) and (17) yields…”

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

confidence: 99%

“…The method proposed in [20] is used to verify other theories of rolling (see, e.g., [25,26]). In particular, the solution [26] based on a series expansion shows a better agreement with the Orowan solution as the number of terms in the series expansion increases. Yet, there are very fast methods for solving the final equation obtained in [20] numerically (see, e.g., [27][28][29][30]), which is of special importance for design purpose.…”

Section: Introductionmentioning

confidence: 99%

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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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Section: Introductionmentioning

confidence: 74%

“…In these cases one of the layers is rigid and the regime of sliding occurs at the bimaterial interface. The values of 1 and 2 can be found from (26) assuming that…”

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

confidence: 99%

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

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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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“…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: 99%

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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New Models for Cold Rolling: Generalized Slab Theory and Slip Lines for Fast Predictions Without Finite Elements

Erfanian,

Brambley,

Flanagan

et al. 2023

Lecture Notes in Mechanical Engineering

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Two-dimensional plane strain rolling: An asymptotic approach to the estimation of inhomogeneous effects

Cited by 14 publications

References 4 publications

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

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

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

New Models for Cold Rolling: Generalized Slab Theory and Slip Lines for Fast Predictions Without Finite Elements

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