0
Technical Brief

Probabilistic Finite-Element Analysis of S2-Glass Epoxy Composite Beams for Damage Initiation Due to High-Velocity Impact

[+] Author and Article Information
Shivdayal Patel

Department of Applied Mechanics,
Indian Institute of Technology Delhi,
New Delhi 110016, India
e-mail: shiv_dayal_patel@live.com

Suhail Ahmad, Puneet Mahajan

Department of Applied Mechanics,
Indian Institute of Technology Delhi,
New Delhi 110016, India

1Corresponding author.

Manuscript received September 30, 2015; final manuscript received May 5, 2016; published online August 19, 2016. Assoc. Editor: Ioannis Kougioumtzoglou.

ASME J. Risk Uncertainty Part B 2(4), 044504 (Aug 19, 2016) (3 pages) Paper No: RISK-15-1101; doi: 10.1115/1.4033575 History: Received September 30, 2015; Accepted May 05, 2016

The safety predictions of composite armors require a probabilistic analysis to take into consideration scatters in the material properties and initial velocity. Damage initiation laws are used to account for matrix and fiber failure during high-velocity impact. A three-dimensional (3D) stochastic finite-element analysis of laminated composite plates under impact is performed to determine the probability of failure (Pf). The objective is to achieve the safest design of lightweight composite through the most efficient ply arrangement of S2 glass epoxy. Realistic damage initiation models are implemented. The Pf is obtained through the Gaussian process response surface method (GPRSM). The antisymmetric cross-ply arrangement is found to be the safest based on maximum stress and Yen and Hashin criteria simultaneously. Sensitivity analysis is performed to achieve the target reliability.

FIGURES IN THIS ARTICLE
<>
Copyright © 2016 by ASME
Your Session has timed out. Please sign back in to continue.

References

Abrate, S., 2001, “Modeling of Impacts on Composite Structures,” Compos. Struct., 51(2), pp. 129–138. 0263-8223 10.1016/S0263-8223(00)00138-0
Yen, C. F., 2012, “A Ballistic Material Model for Continuous-Fiber Reinforced Composites,” Int. J. Impact Eng., 40, pp. 11–22. 0734-743X 10.1016/j.ijimpeng.2011.12.007
Hashin, Z., 1980, “Failure Criteria for Unidirectional Fiber Composites,” ASME J. Appl. Mech., 47(2), pp. 329–334. 0021-8936 10.1115/1.3153664
Sriramula, S., and Chyssanthopoulos, M. K., 2009, “Quantification of Uncertainty in Stochastic Analysis of FRP Composites,” Compos. Part A, 40(11), pp. 1673–1684. 10.1016/j.compositesa.2009.08.020
Cederbaum, G., Elishakoff, I., and Librescu, L., 1990, “Reliability of Laminated Plates Via the First-Order Second-Moment Method,” Compos. Struct., 15(2), pp. 161–167. 0263-8223 10.1016/0263-8223(90)90005-Y
Bucher, C. G., and Bourgund, U., 1990, “A Fast and Efficient Response Surface Approach for Structural Reliability Problems,” Struct. Saf., 7(1), pp. 57–66. 10.1016/0167-4730(90)90012-E
Rajashekhar, M. R., and Ellingwood, B. R., 1993, “A New Look at the Response Surface Approach for Reliability Analysis,” Struct. Saf., 12(3), pp. 205–220. 10.1016/0167-4730(93)90003-J
Patel, S. D., Ahmad, S., and Mahajan, P., 2013, “Probabilistic Failure Analysis of Composite Beams Under Ballistic Impact,” Proceedings of the 11th International Conference on Structural Safety & Reliability (ICOSSAR), CRC Press, Taylor and Francis Group, London.
Bichon, B. J., Eldred, M. S., Mahadevan, S., and McFarland, J. M., 2012, “Efficient Global Surrogate Modeling for Reliability-Based Design Optimization,” ASME J. Mech. Des., 135(1), pp. 11009. 10.1115/1.4022999
Goh, Y. M., McMahon, C. A., and Booker, J. D., 2009, “Improved Utility and Application of Probabilistic Methods for Reliable Mechanical Design,” Proc. Inst. Mech. Eng. Part O: J. Risk Reliab., 223, pp. 199–214.
Sevkat, E., Liaw, B., Delale, F., and Raju, B. B., 2009, “A Combined Experimental and Numerical Approach to Study Ballistic Impact Response of S2 Glass Fiber/Toughened Epoxy Composite Beams,” Compos. Sci. Technol., 69(7–8), pp. 965–982. 0266-3538 10.1016/j.compscitech.2009.01.001
Jeong, H. K., and Shenoi, R. A., 1998, “Reliability Analysis of Mid-Plane Symmetric Laminated Plates Using Direct Simulation Method,” Compos. Struct., 43(1), pp. 1–13. 0263-8223 10.1016/S0263-8223(98)00085-3

Figures

Grahic Jump Location
Fig. 1

Probability of failure of simply supported composite beam

Grahic Jump Location
Fig. 2

Sensitivity behavior of simply supported cross-ply beam

Grahic Jump Location
Fig. 3

Probability of failure of simply supported cross-ply composite beam

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Articles from Part A: Civil Engineering
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In