Editorial Type:
Article Category: Research Article
 | 
Online Publication Date: 30 Aug 2022

Numerical Modeling and Experimental Investigation of Thermal Shrinkage in Polymeric Cords. I: Constitutive Modeling

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Page Range: 39 – 62
DOI: 10.2346/tire.22.22001a
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ABSTRACT

In this Part I of a two-part paper, a constitutive model for polymeric cords is proposed in order to represent the thermo-mechanical behavior, such as thermal shrinkage and large deformations during the curing and post-curing process in tires. A series of experiments, including tensile test, free shrinkage test, and shrinkage force test, are performed and compared to the proposed model using the identified material parameters.

Keywords: tire; polymeric cords; thermo-mechanical properties; shrinkage behavior
FIG. 1
FIG. 1

Stress–strain and modulus–strain at monotonic tensile loading.

FIG. 2
FIG. 2

Shrinkage test results at different temperatures.

FIG. 3
FIG. 3

Shrinkage test results at different weights at 170 °C.

FIG. 4
FIG. 4

Shrinkage test results at different weights at elevated temperature.

FIG. 5
FIG. 5

Shrinkage force test results at different temperatures.

FIG. 6
FIG. 6

One-dimensional rheological model.

FIG. 7
FIG. 7

Comparison of fitting results (dotted red) to monotonic tensile tests (solid black).

FIG. 8
FIG. 8

Comparison of fitting results (dotted) to shrinkage tests (solid) at different temperatures.

FIG. 9
FIG. 9

Comparison of fitting results (dotted) to shrinkage tests (solid) at different weights at 170 °C.

FIG. 10
FIG. 10

Comparison of fitting results (dotted) to shrinkage tests (solid) at different weights at elevated temperature.

FIG. 11
FIG. 11

Comparison of fitting results (dotted) to shrinkage force tests (solid) at different temperatures.

Contributor Notes

1 Institute for Structural Analysis (ISD), Technische Universität Dresden, Georg-Schumann-Straße 7, Dresden, 01062, Germany. Email: sanghyeub.kim@tu-dresden.de
2 Institute for Structural Analysis (ISD), Technische Universität Dresden, Georg-Schumann-Straße 7, Dresden, 01062, Germany. Email: thomas.berger@tu-dresden.de
3 Virtual Technology Team, Hankook Tire & Technology Co., Ltd., Yuseong-daero 935, Daejeon, South Korea. Email: 21601248@hankookn.com
4 Institute for Structural Analysis (ISD), Technische Universität Dresden, Georg-Schumann-Straße 7, Dresden, 01062, Germany. Email: imadeddin.zreid@tu-dresden.de
5 Corresponding author. Institute for Structural Analysis (ISD), Technische Universität Dresden, Georg-Schumann-Straße 7, Dresden, 01062, Germany. Email: michael.kaliske@tu-dresden.de
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