Die Abplattung im Kontaktproblem paralleler Zylinder

Kunz, Jakob; Maria, Edrea

doi:10.1007/s10010-002-0089-9

Cited by 4 publications

(4 citation statements)

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“…The well‐known Hertzian contact theory does not provide a correct solution regarding the flattening of two parallel cylinders under normal stress, as it leads to a geometrical error resulting in a wrong contact area. [ 27 ] However, Kunz et al [ 28,29 ] used FEM simulations to develop an equation allowing to estimate the elastic flattening w 0 of two parallel cylinders in contact (Equation (7)).

w_{0} \approx 5.2 \times \frac{F_{normalN}}{E_{normalV} \times l} \times [1 - 0.65 \times μ_{normalV}^{2} \times (1 - e^{- 1.3 \times {(\frac{l}{R_{V}})}^{0.7}})]

…”

Section: Methodsmentioning

confidence: 99%

Evaluation of Deformation Behavior and Fast Elastic Recovery of Lithium‐Ion Battery Cathodes via Direct Roll‐Gap Detection During Calendering

et al. 2022

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Calendering is the state‐of‐the‐art process for electrode compaction in lithium‐ion battery manufacturing through which the final electrode structure is defined. As the electrode structure determines the electrical und electrochemical transport properties, it is essential to develop a deep understanding of the interdependence between the calendering process and the deformation behavior of the electrodes. Therefore, a novel method for the investigation of the deformation behavior of electrodes, especially the springback (SB) effect, through direct‐gap detection within the calendering machine, is developed. With this installation, it is possible to directly access the maximum compression of the electrodes during calendering. With this approach, two different variations of cathodes, a variation of mass loading and a variation of binder weight content, based on lithium nickel manganese cobalt oxide (NMC622), are manufactured and investigated. Moreover, an empirical model is introduced, allowing the estimation of the SB for NMC622 cathodes considering different mass loadings and cathode compositions. Due to more space for particle rearrangement, cathodes with higher mass loading show a lower SB effect. Adding binder leads to higher plastic deformation and thus lowers also the SB effect of the electrodes.

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w_{0} \approx 5.2 \times \frac{F_{normalN}}{E_{normalV} \times l} \times [1 - 0.65 \times μ_{normalV}^{2} \times (1 - e^{- 1.3 \times {(\frac{l}{R_{V}})}^{0.7}})]

…”

Section: Methodsmentioning

confidence: 99%

Evaluation of Deformation Behavior and Fast Elastic Recovery of Lithium‐Ion Battery Cathodes via Direct Roll‐Gap Detection During Calendering

et al. 2022

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“…E-mail: roman.schneeweis@pa-innovations.com 2 KB.IC Consulting, Linz, Austria. The rod elements used to model a rolling contact are chosen for their rigidity according to the formulas of Hertzian stress [3].…”

Section: Technological Settingmentioning

confidence: 99%

Advancement of Skin Pass Rolling

Schneeweis¹,

Berger²,

Mathweis³

2020

TMM

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With increasing demands from customers to provide flat strip with tighter tolerances on material properties, particularly flatness of e.g. martensitic steel grades, it has become necessary to develop strategies to improve flatness without influencing the tensile properties for such hard steel grades. Usual skin pass mills are not capable to apply sufficient tension and roll force for these kinds of material to improve the flatness. Therefore, alternatives had to be searched for. This paper describes skin pass-/ temper -rolling methods from the classical one to new alternatives in order to satisfy the demanding market of higher material properties and idle running mills in rolling plants.

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“…Correspondingly, the experiment investigation consisting of compression of parallel cylinders or indenting a cylinder into an elastic body is carried out in [11,14]. Empirical equations of load-displacement are provided to verify theoretical solutions.…”

Section: Introductionmentioning

confidence: 99%

“…In Thwaite's compression test [15] of a contact between a cylinder and a half-space, the comparison of slopes (or contact stiffness) shows that the solution (2) is the closest to the experimental results. In Kunz's experimental investigation [14], it is found that the approach of parallel cylinders is proportional to the loading force: F=cE * Ld, where c is constant c=0.175. In the last few decades, some numerical studies of the finite length line contact have been carried out to investigate the effect of contact edge and bone shape of the contact area and on stress distribution [16,17].…”

Section: Introductionmentioning

confidence: 99%

Normal Line Contact of Finite-Length Cylinders

Li¹,

Popov²

2017

FU Mech Eng

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Abstract. In this paper, the normal contact problem between an elastic half-space and a cylindrical body with the axis parallel to the surface of the half-space is solved numerically by using the Boundary Element Method (BEM). The numerical solution is approximated with an analytical equation motivated by an existing asymptotic solution of the corresponding problem. The resulting empirical equation is validated by an extensive parameter study. Based on this solution, we calculate the equivalent MDR-profile, which reproduces the solution exactly in the framework of the Method of Dimensionality Reduction (MDR). This MDR-profile contains in a condensed and easy-to-use form all the necessary information about the found solution and can be exploited for the solution of other related problems (as contact with viscoelastic bodies, tangential contact problem, and adhesive contact problem.)The analytical approximation reproduces numerical results with high precision provided the ratio of length and radius of the cylinder are larger than 5. For thin disks (small length-to-radius ratio), the results are not exact but acceptable for engineering applications.

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Die Abplattung im Kontaktproblem paralleler Zylinder

Cited by 4 publications

References 1 publication

Evaluation of Deformation Behavior and Fast Elastic Recovery of Lithium‐Ion Battery Cathodes via Direct Roll‐Gap Detection During Calendering

Evaluation of Deformation Behavior and Fast Elastic Recovery of Lithium‐Ion Battery Cathodes via Direct Roll‐Gap Detection During Calendering

Advancement of Skin Pass Rolling

Normal Line Contact of Finite-Length Cylinders

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