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A Parametric Evaluation of Flexural and Tensile Strength Ratios, and Bundle Stresses of Axial Composites Using Weibull’s Theory

Received: 12 September 2017     Accepted: 8 November 2017     Published: 22 December 2017
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Abstract

Weibull theory works well for brittle materials. However, its application to composites is not very clear. The present study is a comparative parametric evaluation of flexural and tensile strength ratios, and fiber bundle stresses of axial composites with brittle fiber bundles. A composite based model that utilizes Weibull’s theory is developed and compared with derived Weibull’s theory for brittle fiber bundles. It was found that the predicted strength ratios and the stresses are of similar magnitude to that of Weibull’s and the model converges to unity for composite materials with little or no variability.

Published in Engineering and Applied Sciences (Volume 2, Issue 6)
DOI 10.11648/j.eas.20170206.11
Page(s) 99-102
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Axial Composites, Weibull Theory, Flexural Strength, Tensile Strength

References
[1] Wisnom, M. R., (1992), “The Relation-ship between Tensile and Flexural Strength of Unidirectional Composite-s", The Journal of Composite Materials, Vol. 26 (8), pp 1173-1180.
[2] Brent, A. S., (1989), "Fundamentals of Composites Manufacturing", 5th ed, Society of Manufacturing Engineers, pp 5-20.
[3] Wisnom, M. R., (1991), "Relationship between Strength Variability and Size effect in Unidirectional Carbon fiber/epoxy", The Journal of Composites, Vol. 22 (1), pp 47-51.
[4] Tsai, S. W., (1980), "Introduction to Composite Materials", 1st edn, Technical Publishing Company Inc., pp 360-390.
[5] Whitney, J. M., & Knight M., (1980), "The Relationship between Tensile strength and Flexural strength in Fiber-Reinforced Composites”, Experimental mechanics, Vol. 20 (6), pp 211-216.
[6] Bullock, R. E., (1974), "Strength Ratio of Composite materials in Flexural and in Tension", The Journal of Composite Materials, Vol. 8 (2), pp 200-206.
[7] Weibull, W., (1951), “Statistical Distribution Function of Wide Applicability", Journal of Applied Mechanics, Vol. 18, pp 293-297.
[8] Ashik K P et al., (2017), “Evaluation of tensile, flexural and impact strength of natural and glass fiber reinforced hybrid composites”, Renewable Bioresources, ISSN 2052- 6237, Vol 5 (1). http://dx.doi.org/10.7243/2052-6237-5-1.
[9] Vishnu P et al., (2014), “Finite Element Analysis of Jute and Banana Fibre Reinforced Hybrid Polymer Matrix Composite and Optimization of Design Parameters Using ANOVA Technique”, Procedia Engineering, Vol 97, pp 1116-1125.
[10] Hossain et al., (2013), “Tensile Behavior of Environment Friendly Jute Epoxy Laminated Composite”, Procedia Engineering, Vol 56, pp 782-788.
[11] Anin, M., & Asami, N., (2013), “Fabrication and Mechanical Properties of Jute Spun Yarn/PLA Unidirectional Composite by Compression Molding”, Energy Procedia, Vol 34, pp 840-838.
Cite This Article
  • APA Style

    Mohammed Faruqi, Ankur Patel. (2017). A Parametric Evaluation of Flexural and Tensile Strength Ratios, and Bundle Stresses of Axial Composites Using Weibull’s Theory. Engineering and Applied Sciences, 2(6), 99-102. https://doi.org/10.11648/j.eas.20170206.11

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    ACS Style

    Mohammed Faruqi; Ankur Patel. A Parametric Evaluation of Flexural and Tensile Strength Ratios, and Bundle Stresses of Axial Composites Using Weibull’s Theory. Eng. Appl. Sci. 2017, 2(6), 99-102. doi: 10.11648/j.eas.20170206.11

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    AMA Style

    Mohammed Faruqi, Ankur Patel. A Parametric Evaluation of Flexural and Tensile Strength Ratios, and Bundle Stresses of Axial Composites Using Weibull’s Theory. Eng Appl Sci. 2017;2(6):99-102. doi: 10.11648/j.eas.20170206.11

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  • @article{10.11648/j.eas.20170206.11,
      author = {Mohammed Faruqi and Ankur Patel},
      title = {A Parametric Evaluation of Flexural and Tensile Strength Ratios, and Bundle Stresses of Axial Composites Using Weibull’s Theory},
      journal = {Engineering and Applied Sciences},
      volume = {2},
      number = {6},
      pages = {99-102},
      doi = {10.11648/j.eas.20170206.11},
      url = {https://doi.org/10.11648/j.eas.20170206.11},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.eas.20170206.11},
      abstract = {Weibull theory works well for brittle materials. However, its application to composites is not very clear. The present study is a comparative parametric evaluation of flexural and tensile strength ratios, and fiber bundle stresses of axial composites with brittle fiber bundles. A composite based model that utilizes Weibull’s theory is developed and compared with derived Weibull’s theory for brittle fiber bundles. It was found that the predicted strength ratios and the stresses are of similar magnitude to that of Weibull’s and the model converges to unity for composite materials with little or no variability.},
     year = {2017}
    }
    

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    T1  - A Parametric Evaluation of Flexural and Tensile Strength Ratios, and Bundle Stresses of Axial Composites Using Weibull’s Theory
    AU  - Mohammed Faruqi
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    AB  - Weibull theory works well for brittle materials. However, its application to composites is not very clear. The present study is a comparative parametric evaluation of flexural and tensile strength ratios, and fiber bundle stresses of axial composites with brittle fiber bundles. A composite based model that utilizes Weibull’s theory is developed and compared with derived Weibull’s theory for brittle fiber bundles. It was found that the predicted strength ratios and the stresses are of similar magnitude to that of Weibull’s and the model converges to unity for composite materials with little or no variability.
    VL  - 2
    IS  - 6
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Author Information
  • Department of Civil and Architectural Engineering, Texas A & M University – Kingsville, Kingsville, USA

  • Department of Civil and Architectural Engineering, Texas A & M University – Kingsville, Kingsville, USA

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