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Prediction of mechanical properties of knitted fabrics under tensile and shear loading : mesoscale analysis using representative unit cells and its validation

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Abstract
This article presents a numerical framework to predict the mechanical behavior of knitted fabrics from their discrete structure at the fabric yarn level, i.e., the mesostructure, utilizing the hierarchical multiscale method. Due to the regular distribution of yarn loops in a knitted structure, the homogenization theory for periodic materials can be employed. Thus, instead of considering the whole fabric sample under loading, a significantly less computationally demanding analysis can be done on a repeated unit cell (RUC). This RUC is created based on simple structural parameters of knitted yarn loops and its fabric yarns are assumed to behave transversely isotropic. Nonlinear finite element analyses are performed to determine the stress fields in the RUC under tensile and shear loading. During this analysis, contact friction among yarns is considered as well as the periodic boundary conditions are employed. The macroscopic stresses then can be derived from the stress fields in the RUC by means of the numerical homogenization scheme. The physical fidelity of the proposed framework is shown by the good agreement between the predicted mechanical properties of knitted fabrics and corresponding experimental data.
Keywords
Multiscale modelling, Knitted fabrics, Periodic boundary conditions, Numerical homogenization, Finite element analysis

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MLA
Dinh, Tien Dung, et al. “Prediction of Mechanical Properties of Knitted Fabrics under Tensile and Shear Loading : Mesoscale Analysis Using Representative Unit Cells and Its Validation.” COMPOSITES PART B-ENGINEERING, vol. 148, Elsevier, 2018, pp. 81–92, doi:10.1016/j.compositesb.2018.04.052.
APA
Dinh, T. D., Weeger, O., Kaijima, S., & Yeung, S.-K. (2018). Prediction of mechanical properties of knitted fabrics under tensile and shear loading : mesoscale analysis using representative unit cells and its validation. COMPOSITES PART B-ENGINEERING, 148, 81–92. https://doi.org/10.1016/j.compositesb.2018.04.052
Chicago author-date
Dinh, Tien Dung, Oliver Weeger, Sawako Kaijima, and Sai-Kit Yeung. 2018. “Prediction of Mechanical Properties of Knitted Fabrics under Tensile and Shear Loading : Mesoscale Analysis Using Representative Unit Cells and Its Validation.” COMPOSITES PART B-ENGINEERING 148: 81–92. https://doi.org/10.1016/j.compositesb.2018.04.052.
Chicago author-date (all authors)
Dinh, Tien Dung, Oliver Weeger, Sawako Kaijima, and Sai-Kit Yeung. 2018. “Prediction of Mechanical Properties of Knitted Fabrics under Tensile and Shear Loading : Mesoscale Analysis Using Representative Unit Cells and Its Validation.” COMPOSITES PART B-ENGINEERING 148: 81–92. doi:10.1016/j.compositesb.2018.04.052.
Vancouver
1.
Dinh TD, Weeger O, Kaijima S, Yeung S-K. Prediction of mechanical properties of knitted fabrics under tensile and shear loading : mesoscale analysis using representative unit cells and its validation. COMPOSITES PART B-ENGINEERING. 2018;148:81–92.
IEEE
[1]
T. D. Dinh, O. Weeger, S. Kaijima, and S.-K. Yeung, “Prediction of mechanical properties of knitted fabrics under tensile and shear loading : mesoscale analysis using representative unit cells and its validation,” COMPOSITES PART B-ENGINEERING, vol. 148, pp. 81–92, 2018.
@article{8560702,
  abstract     = {{This article presents a numerical framework to predict the mechanical behavior of knitted fabrics from their discrete structure at the fabric yarn level, i.e., the mesostructure, utilizing the hierarchical multiscale method. Due to the regular distribution of yarn loops in a knitted structure, the homogenization theory for periodic materials can be employed. Thus, instead of considering the whole fabric sample under loading, a significantly less computationally demanding analysis can be done on a repeated unit cell (RUC). This RUC is created based on simple structural parameters of knitted yarn loops and its fabric yarns are assumed to behave transversely isotropic. Nonlinear finite element analyses are performed to determine the stress fields in the RUC under tensile and shear loading. During this analysis, contact friction among yarns is considered as well as the periodic boundary conditions are employed. The macroscopic stresses then can be derived from the stress fields in the RUC by means of the numerical homogenization scheme. The physical fidelity of the proposed framework is shown by the good agreement between the predicted mechanical properties of knitted fabrics and corresponding experimental data.}},
  author       = {{Dinh, Tien Dung and Weeger, Oliver and Kaijima, Sawako and Yeung, Sai-Kit}},
  issn         = {{1359-8368}},
  journal      = {{COMPOSITES PART B-ENGINEERING}},
  keywords     = {{Multiscale modelling,Knitted fabrics,Periodic boundary conditions,Numerical homogenization,Finite element analysis}},
  language     = {{eng}},
  pages        = {{81--92}},
  publisher    = {{Elsevier}},
  title        = {{Prediction of mechanical properties of knitted fabrics under tensile and shear loading : mesoscale analysis using representative unit cells and its validation}},
  url          = {{http://doi.org/10.1016/j.compositesb.2018.04.052}},
  volume       = {{148}},
  year         = {{2018}},
}

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