Axisymmetric, Finite-Element Analysis of Stress Relaxation in Wound Magnetic Tapes

Heinrich, J. C.; Connolly, Derry; Bhushan, Bharat

doi:10.1080/05698198608981662

Cited by 7 publications

(2 citation statements)

References 2 publications

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“…Other solutions exist for both elastic and viscoelastic tape materials, including Altmann 11 and Willett and Poesch. 12 Heinrich et al 13 present a finite element based viscoelastic stress relaxation solution. The work of Lin and Westmann 14 provides a solution for the case in which there is viscoelastic winding and pause.…”

Section: Introductionmentioning

confidence: 99%

Viscoelastic behavior of polymer tape in a wound roll

Acton¹,

Weick²

2011

J of Applied Polymer Sci

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in Wiley Online Library (wileyonlinelibrary.com).ABSTRACT: A viscoelastic computational model is developed that uses experimentally determined viscoelastic material properties as input and can be used to predict the behavior of a tape material in a wound roll as stresses relax over time. Experimental creep test results are used to find best-fit creep-compliance parameters to describe two high density data storage tape media. The two tapes used in the analysis are a developmental tape with a poly(ethylenenaphthalate) (PEN) substrate and metal particle (MP) front coat similar to linear tape open (LTO4) (referred to in this work as ''Tape C''), and LTO3, a commercially available tape with a PEN substrate and MP front coat. Sets of best-fit creep-compliance parameters are determined for both tapes. The differences between the predicted behavior using three-, five-, and sevenparameter Kelvin-Voigt models are evaluated, both for a benchmark case and in a viscoelastic wound roll model.The choice of material model is found to significantly influence the predictions of the wound roll model. The differences between different material models for the same material are on the order of the differences found between the two different materials. A material model with a higher number of creep-compliance parameters, although more computationally expensive, produces better results, particularly over long spans of time. The relative differences between the three-, five-, and seven-parameter models are shown to be qualitatively consistent for several variations in the computational model setup, allowing predictions to be made based on simple benchmarks.

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Section: Introductionmentioning

confidence: 99%

Viscoelastic behavior of polymer tape in a wound roll

Acton¹,

Weick²

2011

J of Applied Polymer Sci

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“…The one-dimensional models can be grouped into four categories according to the constitutive law of the modeled roll. These constitutive laws have been linearly [7,8,9] or nonlinearly [10,11,12] elastic and linearly [13,14,15] or nonlinearly [16] viscoelastic and have treated the material as being orthotropic. The roll has been considered in a plane stress or plane strain state corresponding to very short or long rolls, respectively (magnetic tape packs or large paper rolls, for example), in which uniform mechanical properties along the roll's axial direction are assumed.…”

Section: Introductionmentioning

confidence: 99%

Two-dimensional axisymmetric winding model for finite deformation

Ärölä

Hertzen

2007

Comput Mech

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A two-dimensional axisymmetric winding model for wound rolls of thin web is developed. The model accounts for radial and axial displacements and radial, circumferential, axial and shear stresses. The roll build-up is modeled as an incremental accretion process. The material behaviour of the roll is considered as hyperelastic, orthotropic and radially nonlinear. The numerical solution is developed using the finite element method and the total Lagrangian formulation. The model is applied to the winding of paper rolls. It is shown that centrifugal forces may considerably affect the resulting stress distributions. For nonzero Poisson's ratios significant edge effects in the roll stresses are found. In particular, high shear stresses and shear stress gradients are discovered in the vicinity of the core near the roll ends. A remarkable stress leveling phenomenon is found where the effect of a non-constant incoming web tension is evened out in the roll axial direction.

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Stress Analysis of Flexible Media

Bhushan¹

2000

Mechanics and Reliability of Flexible Magnetic Media

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Axisymmetric, Finite-Element Analysis of Stress Relaxation in Wound Magnetic Tapes

Cited by 7 publications

References 2 publications

Viscoelastic behavior of polymer tape in a wound roll

Viscoelastic behavior of polymer tape in a wound roll

Two-dimensional axisymmetric winding model for finite deformation

Stress Analysis of Flexible Media

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