Development and application of constitutive equations for the multiple-stand hot rolling of Al-alloys

Karhausen, Kai F.; Roters, Franz

doi:10.1016/s0924-0136(02)00081-x

Cited by 24 publications

(22 citation statements)

References 10 publications

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“…The first one consists in neglecting the evolution of mobile dislocation density by simply assuming a constant value for q m [11]. The second one is the new concept presented in this paper, namely, to obtain the value for q m by minimizing equation (11). This concept is equal to a minimization of the plastic work rate.…”

Section: Discussionmentioning

confidence: 99%

“…Nevertheless it has to be admitted that the concept of a constant mobile dislocation density was quite successfully implemented into a flow stress model [11].…”

Section: Discussionmentioning

confidence: 99%

“…Only then the results can be quantitatively compared with those obtained by other models [8][9][10][11].…”

Section: Discussionmentioning

confidence: 99%

“…It distinguishes cell walls and cell interiors of a dislocation cell structure and evaluates the external stress as a weighted sum of the stresses in these two regions. In recent years this kind of constitutive model was further modified and extended by using different and/or additional dislocation populations [7][8][9][10][11].…”

Section: Introductionmentioning

confidence: 99%

“…Therefore, as there is no simple model for the production of mobile dislocations at hand, this problem cannot be solved by use of rate equations. One way to circumvent the problem is to assume the mobile dislocation density to be constant like supposed by Karhausen and Roters [11]. But the only rationale for this assumption is the fact that the mobile dislocation density probably reaches the steady state prior to other dislocation densities.…”

Section: Introductionmentioning

confidence: 99%

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A new concept for the calculation of the mobile dislocation density in constitutive models of strain hardening

Roters

2003

Physica Status Solidi (b)

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A new concept for the calculation of the mobile dislocation density in constitutive models is presented. In contrast to earlier approaches this concept does not use rate equations to calculate the evolution of the mobile dislocation density but is based on the minimization of the flow stress in each increment. In comparison to a concept using a constant value for the mobile dislocation density the new concept results in a more realistic stress strain relation, especially when applied to strain rate change experiments.

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Section: Discussionmentioning

confidence: 99%

“…Nevertheless it has to be admitted that the concept of a constant mobile dislocation density was quite successfully implemented into a flow stress model [11].…”

Section: Discussionmentioning

confidence: 99%

“…Only then the results can be quantitatively compared with those obtained by other models [8][9][10][11].…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A new concept for the calculation of the mobile dislocation density in constitutive models of strain hardening

Roters

2003

Physica Status Solidi (b)

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Procedure to implement shear evolution in fast rolling models with online capability on the example of an aluminum flat rolling process

et al. 2022

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The rolling process induces a heterogeneous deformation over the rolling stock height. The causes are the frictional shear stress between the contacting surfaces and the roll gap geometry. They induce a complex material flow within the rolling stock describable by the shear evolution. The shear evolution has a significant impact on rolling values like grain size and crystallographic texture and therefore on the final material properties of the rolled product. Industry and academia use fast rolling models for flat rolling processes to predict the material properties due to their short computation time. The time advantage enables online applicability to adapt processes in real time or to evaluate the influence of different process conditions several times within seconds. However, these models have a limitation regarding the shear evolution. They do not consider all relevant influences or apply simplifying assumptions, valid only for specific rolling cases. This work presents a general approach to extend fast rolling models to consider the shear evolution without any restrictions to specific rolling cases. The approach derives the shear evolution as shear angle $$\alpha$$ α evolution based on FE simulations. The shear angle $$\alpha$$ α is a geometrical description and not influenced by rotations, which occur during the rolling process. This enables an enhanced and simple analysis of the material flow. The outcome is an extended model that completely describes the deformation along a deformation path and enables the calculation of each desired deformation value (strain, deformation gradient, velocity gradient, etc.).

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Analyses of Dislocation Effects on Plastic Deformation

Mohamadnejad

Basti

Ansari

2020

Multiscale Sci. Eng.

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Development and application of constitutive equations for the multiple-stand hot rolling of Al-alloys

Cited by 24 publications

References 10 publications

A new concept for the calculation of the mobile dislocation density in constitutive models of strain hardening

A new concept for the calculation of the mobile dislocation density in constitutive models of strain hardening

Procedure to implement shear evolution in fast rolling models with online capability on the example of an aluminum flat rolling process

Analyses of Dislocation Effects on Plastic Deformation

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