Fast Numerical Simulation of Symmetric Flat Rolling Processes for Inhomogeneous Materials Using a Layer Model − Part I: Basic Theory

Schmidtchen, Matthias; Kawalla, Rudolf

doi:10.1002/srin.201600047

Cited by 18 publications

(25 citation statements)

References 25 publications

(59 reference statements)

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“…For the equivalent logarithmic strain rate φ a mean value according to Hoff and Dahl [29] as in Equation ( 4) was used to simplify the iteration structure and convergence. In [8,10], the possibility of calculating local strain speed is described.…”

Section: Layer Modelmentioning

confidence: 99%

“…The temperature evolution in each layer is computed by a simple finite differences approach that leads to a system of ordinary one-dimensional differential equations. The model is identical to the one used in [8].…”

Section: Layer Modelmentioning

confidence: 99%

“…The microstructure evolution during hot rolling strongly depends on the aforementioned process and material properties. To predict rolling forces, the Karman equation and slab method are applicable and already used as online roll force calculation tools [5][6][7][8][9]. Furthermore, dividing the strip thickness in different layers can give local information about strain, strain rate and temperature [10].…”

Section: Introductionmentioning

confidence: 99%

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Integrated Process Simulation of Non-Oriented Electrical Steel

et al. 2021

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A tailor-made microstructure, especially regarding grain size and texture, improves the magnetic properties of non-oriented electrical steels. One way to adjust the microstructure is to control the production and processing in great detail. Simulation and modeling approaches can help to evaluate the impact of different process parameters and finally select them appropriately. We present individual model approaches for hot rolling, cold rolling, annealing and shear cutting and aim to connect the models to account for the complex interrelationships between the process steps. A layer model combined with a microstructure model describes the grain size evolution during hot rolling. The crystal plasticity finite-element method (CPFEM) predicts the cold-rolling texture. Grain size and texture evolution during annealing is captured by the level-set method and the heat treatment model GraGLeS2D+. The impact of different grain sizes across the sheet thickness on residual stress state is evaluated by the surface model. All models take heterogeneous microstructures across the sheet thickness into account. Furthermore, a relationship is established between process and material parameters and magnetic properties. The basic mathematical principles of the models are explained and demonstrated using laboratory experiments on a non-oriented electrical steel with 3.16 wt.% Si as an example.

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Section: Layer Modelmentioning

confidence: 99%

Section: Layer Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Integrated Process Simulation of Non-Oriented Electrical Steel

et al. 2021

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“…Bian et al [7] simulated the gradient temperature rolling (GTR) and obtained the strain affecting rule. Matthias Schmidtchen et al [8] established a fast finite element model of asymmetric compound rolling based on the improved slab theory and the actual situation of non-uniform plane strain deformation. These results can provide a good basis for the analysis of the rolling process, especially for the stain calculation.…”

Section: Introductionmentioning

confidence: 99%

The central strain analytical modeling and analysis for the plate rolling process

Jiang

Wei

2021

Int J Adv Manuf Technol

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The strain after rolling plays an important role in the prediction of the microstructure and properties and plate deformation permeability. So it is necessary to establish a more accurate theoretical strain model for the rolling process. This paper studies the modeling method of the equivalent strain based on the upper bound principle and stream function method. The rolling deformation region is divided into three zones (inlet rigid zone, plastic zone, and outlet rigid zone) according to the kinematics. The boundary conditions of adjacent deformation zones are modified according to the characteristics of each deformation zone. A near-real kinematics admissible velocity field is established by the stream function method on this basis. The geometric boundary conditions of the deformation region are obtained. The deformation power, friction power and velocity discontinuous power are calculated according to the redefined geometric boundary conditions. On this basis, the generalized shear strain rate intensity is calculated according to the minimum energy principle. Finally, the equivalent strain model after rolling is obtained by integrating the generalized shear strain rate in time. The plate rolling experiments of AA1060 and the numerical simulations are carried out with different rolling reductions to verify the analytic model precision of the equivalent strain. The results show that the minimum and maximum relative equivalent strain deviation between the analytic model and the experiment is 0.52% and 9.96%, respectively. The numerical calculation and experimental results show that the model can accurately calculate the strain along the plate thickness. This model can provide an important reference for the rolling process setup and the microstructure and properties prediction.

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“…However, due to the very large number of input variables in the process, it is very sensitive to fluctuations in the individual output variables. Therefore, in order to control them accurately, it is necessary to use sensors, which measure additional measuring signals, as well as process models, which enable simulation of the process using the same parameters [7][8]. So far, process models have been used for a basic understanding of what processes occur in the rolling gap and how the crystallization front proceeds [9][10][11].…”

Section: Introductionmentioning

confidence: 99%