Viscoelastic Winding Mechanics

Lin, Jen-Lien; Westmann, R. A.

doi:10.1115/1.3176177

Cited by 16 publications

(15 citation statements)

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“…If the linear winding velocity I' is kept as constant, it can be shown [ 4 ] that the value of 7 is a ( r a -r-") …”

Section: Analytical Modelmentioning

confidence: 99%

“…Tnmposch 15, 61 considered the viscoelastic relaxation of the internal stress field arising from an initial elastic stress state in the complete roll. Recently, Lin and Westmann [4] presented an excellent viscoclastic analysis of tape systems composed of rate-dependent material. The methodology and numerical procedures used in their study can be readily applied to general windinglunwinding problems.…”

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confidence: 99%

“…AS a common practice, the viscoelastic properties of fabrics in any one oftheir main directions (warp, filling, or thickness) can be characterized by using either a relaxation function [ 3 ] or a creep function [4]. A generalized Maxwell modcl may be employed to represent either one of them in an appropriate form.…”

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confidence: 99%

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Analysis of Fabric Deformation in a Roll-Making Operation Part III: Effect of Viscoelasticity

Ghosh

Peng

Banks‐Lee

1992

Textile Research Journal

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The relationship between various parameters of roll making, fabric properties, and the resultant stresses developed within a fabric roll has been discussed in Pans I and I1 of this scries. A discrete continuum modcl was used to describe fabric deformation during roll making. In the present model, the fabric is assumed to be in plane stress state and the effect in the filling direction is entirely neglected. The fabric is considered as anisotropic in warp and thickness directions. The effect of fabric viscoclasticity in the warp direction is also considered. A simple two-term Maxwell viscoelastic model is used to describe the fabric viscoelastic behavior. The stress relaxation process within fabric rolls during and after roll formation is discussed through numerical examples.We studied fabric deformation in a roll-making operation as both static and dynamic processes in Parts I and 11, respectively [I, 21. In those two studies, the fabric was assumed as an elastic sheet material, whose elastic moduli in the deformation process would not change with time. However, most textile fabrics are really viscoelastic in nature, and thcir responses to applied loads are rate or timc dependent. At any timc, the state of stress within a roll depends on the entire winding and subsequent history of the roll up to that point. Thus, without considering the viscoelastic properties of the fabric, it is impossible to understand the stress relaxation process within the fabric roll during and after the roll-making operation. Considering the most fabric rolls are stored for significant periods of time before actual usc in apparel or other manufacturing operations, this knowledge can be important for the purposc of precluding possible slippage between fabric layers and buckling of sections within the roll,. thereby assuring fabric quality in rolls after storage for a pcriod of timc.The viscoelastic analysis of a fabric roll-making operation has not been reported so far in the textile or related literature, but xveral authors have investigated a similar problem dealing with the viscoelastic winding mechanics of magnetic tape systems. Tnmposch 15, 61 considered the viscoelastic relaxation of the internal stress field arising from an initial elastic stress state in the complete roll. Recently, Lin and Westmann [4] presented an excellent viscoclastic analysis of tape systems composed of rate-dependent material. The methodology and numerical procedures used in their study can be readily applied to general windinglunwinding problems. Their mathematical modcl is based on a linear isotropic tape material. In our study, fabric properties arc assumed to be linear but anisotropic. In a sense, our study may be viewed as a further development of Lin and Westmann's analysis.AS a common practice, the viscoelastic properties of fabrics in any one oftheir main directions (warp, filling, or thickness) can be characterized by using either a relaxation function [ 3 ] or a creep function [4]. A generalized Maxwell modcl may be employed to represent either one...

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“…If the linear winding velocity I' is kept as constant, it can be shown [ 4 ] that the value of 7 is a ( r a -r-") …”

Section: Analytical Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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Analysis of Fabric Deformation in a Roll-Making Operation Part III: Effect of Viscoelasticity

Ghosh

Peng

Banks‐Lee

1992

Textile Research Journal

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“…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. It is noted that more solutions exist in the literature for the elastic problem than for the viscoelastic problem, due to the relative complexity of the latter.…”

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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“…As the winding technique is also widely used in other industries for materials such as paper, film, plastic sheet and magnetic tape, analyses for the winding mechanics in these cases has appeared in numerous studies. In References [7][8][9] early work on elastic analysis and some recent viscoelastic models are discussed. Reuter [10] did some pioneering work on the elastic winding process.…”

Section: Introductionmentioning

confidence: 99%

Winding and Consolidation Analysis for Cylindrical Composite Structures

Cai

Gutowski

Allen

1992

Journal of Composite Materials

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A general process model for the winding and consolidation of a cylindrical composite structure is presented. A key feature of this model is that it includes the elastic deformation of the fiber bundle and its influence on the process physics. Two important cases are discussed in detail. In one case, the resin flow time is short compared to the winding time. Hence the fiber distribution and other important parameters are determined almost solely by the fiber deformation behavior. This situation is common in wet filament winding. In the other case, the resin flow time is long compared to the winding time. Here we use a quasi-elastic analysis to determine the fiber distribution and stresses during winding. These conditions are then used as the inputs to the consolidation process. The consolidation process may occur while the wound structure is sitting, while it is being debulked, or while it is being cured and solidified. This case would apply to the winding of prepreg tapes. Finally, simulation experiments were performed to verify both the winding and the consolidation models.

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Viscoelastic Winding Mechanics

Cited by 16 publications

References 0 publications

Analysis of Fabric Deformation in a Roll-Making Operation Part III: Effect of Viscoelasticity

Analysis of Fabric Deformation in a Roll-Making Operation Part III: Effect of Viscoelasticity

Viscoelastic behavior of polymer tape in a wound roll

Winding and Consolidation Analysis for Cylindrical Composite Structures

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