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Finite Element Based Point Stress Criterion for Predicting the Notched Strengths of Composite Plates

Published online by Cambridge University Press:  09 August 2012

K.-H. Tsai ,
C.-L. Hwan ,
M.-J. Lin  and
Y. S. Huang
K.-H. Tsai
Affiliation:
Graduate School of Textile Engineering, Feng Chia University Taichung, Taiwan 40724, R.O.C.
C.-L. Hwan*
Affiliation:
Department of Mechanical and Computer Aided Engineering, Feng Chia University Taichung, Taiwan 40724, R.O.C.
M.-J. Lin
Affiliation:
Department of Mechanical and Computer Aided Engineering, Feng Chia University Taichung, Taiwan 40724, R.O.C.
Y. S. Huang
Affiliation:
Graduate School of Textile Engineering, Feng-Chia University Taichung, Taiwan 40724, R.O.C.
*
*Corresponding author (clhwan@fcu.edu.tw)
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Abstract

In this study, a novel procedure has been developed for predicting the notched strengths of composite plates each with a center hole. In this approach, the stress distribution of a composite plate with a center hole is first obtained by a finite element analysis, in which the experimental notched strength is applied at the boundary of the finite element model. Secondly, the point stress criterion (PSC) is used to find the characteristic length for each plate with different size of hole by an interpolation of the finite element analysis results. The characteristic length is then expressed as an empirical function of the hole size as well as the width of the plate. Finally, the notched strengths of composite plates are predicted based on the empirical function and the finite element analysis results incorporated with the principle of superposition in elasticity. For validation, three different cases from the literatures are adopted for comparison. It is shown that the predicted notched strengths by this new methodology agree well with both the experimental results and the results from analytical solutions based PSC.

Keywords

Composite platePoint stress criterionCharacteristic lengthFinite element

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Type
Articles
Information
Journal of Mechanics , Volume 28 , Issue 3 , September 2012 , pp. 401 - 406
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2012

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References

REFERENCES

1. Awerbuch, J. and Madhukar, M. S., “Notched Strength of Composite Laminates: Predictions and Experiments—A Review,” Journal of Reinforced Plastics and Composites, 4, pp. 3–159 (1985).CrossRefGoogle Scholar
2. Ng, S. P., Lau, K. J. and Tse, P. C., “3D Finite Element Analysis of Tensile Notched Strength of 2/2 Twill Weave Fabric Composites with Drilled Circular Hole,” Composites Part B-Engineering, 31, pp. 113–132 (2000).Google Scholar
3. Wu, G., Tan, Y. and Yang, J. M., “Evaluation of Residual Strength of Notched Fiber Metal Laminates,” Materials Science and Engineering A-Structural Materials Properties Microstructure and Processing, 457, pp. 338–349 (2007).Google Scholar
4. Whitney, J. M. and Nuismer, R. J., “Stress Fracture Criteria for Laminated Composites Containing Stress Concentrations,” Journal of Composite Materials, 8, pp. 253–265 (1974).CrossRefGoogle Scholar
5. Karlak, R. F., “Hole Effects in a Related Series of Symmetrical Laminates,” Proceedings of Failure Modes in Composites IV, The Metallurgical Society of AIME, Chicago, pp. 106–117 (1977).Google Scholar
6. Pipes, R. B., Wetherhold, R. C. and Gillespie, J. W., “Notched Strength of Composite Materials,” Journal of Composite Materials, 13, pp. 148–160 (1979).CrossRefGoogle Scholar
7. Tan, S. C., “Notched Strength Prediction and Design of Laminated Composites Under In-Plane Loadings,” Journal of Composite Materials, 21, pp. 750–780 (1987).Google Scholar
8. Tan, S. C., “Finite-Width Correction Factors for Anisotropic Plate Containing a Central Opening,” Journal of Composite Materials, 22, pp. 1080–1097 (1988).CrossRefGoogle Scholar
9. Gillespie, J. W. and Carlsson, L. A., “Influence of Finite Width on Notched Laminate Strength Predictions,” Composites Science and Technology, 32, pp. 15–30 (1988).Google Scholar
10. Waddoups, M. E, Eisenmann, J. R. and Kaninski, B. E., “Microscopic Fracture Mechanisms of Advanced Composite Materials,” Journal of Composite Materials, 5, pp. 446–454 (1971).CrossRefGoogle Scholar
11. Mar, J. W. and Lin, K. Y., “Fracture Mechanics Correlation for Tensile Failure of Filamentary Composites with Holes,” Journal of Aircraft, 14, pp. 703–704 (1977)CrossRefGoogle Scholar
12. Bäcklund, J. and Aronsson, C. G., “Tensile Fracture of Laminates with Holes,” Journal of Composite Materials, 20, pp. 259–286 (1986).CrossRefGoogle Scholar
13. Chang, F. K. and Chang, K. Y., “A Progressive Damage Model for Laminated Composites Containing Stress Concentrations,” Journal of Composite Materials, 21, pp. 834–855 (1987).Google Scholar
14. Tan, S. C., “A Progressive Failure Model for Composite Laminates Containing Openings,” Journal of Composite Materials, 25, pp. 536–577 (1991).Google Scholar
15. Konish, H. J. and Whitney, J. M., “Approximate Stresses in an Orthotropic Plate Containing a Circular Hole,” Journal of Composite Materials, 9, pp. 157–166 (1975).CrossRefGoogle Scholar
16. Nuismer, R. J. and Whitney, J. M., “Uniaxial Failure of Composite Laminates Containing Stress Concentrations,” Fracture Mechanics of Composites, ASTM STP, 593, p. 117 (1975).CrossRefGoogle Scholar
17. Tan, S. C., “Laminated Composites Containing an Elliptical Opening. I. Approximate Stress Analyses and Fracture Models,” Journal of Composite Materials, 21, pp. 925–948 (1987).CrossRefGoogle Scholar
18. Kim, J. K., Kim, D. S. and Takeda, N., “Notched Strength and Fracture Criterion in Fabric Composite Plates Containing a Circular Hole,” Journal of Composite Materials, 29, pp. 982–998 (1995).CrossRefGoogle Scholar
19. de Azevedo Soriano, E. and de Almeida, S. F. M., “Notch Sensitivity of Carbon/Epoxy Fabric Laminates,” Composites Science and Technology, 59, pp. 1143–1151 (1999).CrossRefGoogle Scholar
20. de Morais, A. B., “Open-Hole Tensile Strength of Quasi-Isotropic Laminates,” Composites Science and Technology, 60, pp. 1997–2004 (2000).Google Scholar
21. Chen, P., Shen, Z. and Wang, J. Y., “Prediction of the Strength of Notched Fiber-Dominated Composite Laminates,” Composites Science and Technology, 61, pp. 1311–1321 (2001).Google Scholar
22. Belmonte, H. M. S., Manger, C. I. C., Ogin, S. L., Smith, P. A. and Lewin, R., “Characterization and Modelling of the Notched Tensile Fracture of Woven Quasi-Isotropic GFRP Laminates,” Composites Science and Technology, 61, pp. 585–597 (2001).CrossRefGoogle Scholar
23. Srivastava, V. K., “Notched Strength Prediction of Laminated Composite Under Tensile Loading,” Materials Science and Engineering A-Structural Materials Properties Microstructure and Processing, 328, pp. 302–309 (2002).Google Scholar
24. Ahmed, K. S., Vijayarangan, S. and Naidu, A. C. B., “Elastic Properties, Notched Strength and Fracture Criterion in Untreated Woven Jute-Glass Fabric Reinforced Polyester Hybrid Composites,” Materials & Design, 28, pp. 2287–2294 (2007).CrossRefGoogle Scholar
25. Hwan, C. L., Tsai, K. H., Chen, W. L., Chiu, C. H. and Wu, C. M., “Strength Prediction of Braided Composite Plates with a Center Hole,” Journal of Composite Materials, 45, pp. 1991–2002 (2011).CrossRefGoogle Scholar