Abstract
The ballistic impact response of a composite target is an important investigation to assess its reliability for applications to light weight body and vehicle armors. The progressive damage model is developed and implemented in the finite element (FE) code ABAQUS as a user-defined subroutine (VUMAT). A numerical result is obtained using deterministic progressive damage model are validated against existing experimental study in literature. Stochastic finite element analysis (SFEA) is used to study the fiber failure in tension; fiber crushing and in-plane shear failure modes due to ballistic impact. The random variation in material properties and initial velocities are used to determining statistics of stress in the lamina. These are compared to the random strengths in the limit state function and P f surface is obtained by using Gaussian process response surface method (GPRSM). The comparison of P f obtained from Monte Carlo simulation (MCS) and GPRSM. MCS computationally 10 times more expensive in comparison to GPRSM. System P f based on a fault tree analysis is determined to cross and angle ply arrangement in symmetric and anti-symmetric laminates. The P f of symmetric cross ply laminate arrangement for simply supported composite beams are found to be minimum.
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References
Abrate S (1998) Impact on composite structures. Cambridge University Press, Cambridge
Naik NK, Doshi AN (2008) Ballistic impact behavior of thick composites parametric studies. Compos Struct 82(3):447–464
Sevkat E, Liaw B, Delale F, Raju BB (2009) A combined experimental and numerical approach to study ballistic impact response of S2 glass fiber/toughened epoxy composite beams. Compos Sci Technol 69:965–982
Garcia-Castillo SK, Sanchez-Saez S, Lopez-Puente J, Barbero E, Navarro C (2009) Impact behavior of preloaded glass/polyester woven plates. Compos Sci Technol 69(6):711–717
Matzenmiller A, Lubliner J, Taylor RL (1995) A constitutive model for anisotropic damage in fiber-composites. Mech Mater 20:125–152
Sriramula S, Chyssanthopoulos MK (2009) Quantification of uncertainty in stochastic analysis of FRP composites. Compos Part A: Appl Sci Manuf 40:1673–1684
Stefanou G, Papadrakakis M (2004) Stochastic finite element analysis of shells with combined random material and geometric properties. Comput Methods Appl Mech Eng 193(1–2):139–160
Patel SD, Ahmad S, Mahajan P (2013) Probabilistic failure analysis of composite beams under ballistic impact. In: Proceedings of 11th international conference on structural safety and reliability (ICOSSAR), New York
Noh HC (2004) A formulation for stochastic finite element analysis of plate structures with uncertain Poisson’s ratio. Comput Methods Appl Mech Eng 193:4857–4873
Patel SD, Ahmad S, Mahajan P (2012) Probabilistic behavior of composite plate under ballistic impact. In: Proceedings of 1st international of ICNMMCS conference, Torino, Italy
Jeong HK, Shenoi RA (1998) Reliability analysis of mid-plane symmetric laminated plates using direct simulation method. Compos Struct 43(1):1–13
Bucher CG, Bourgund U (1990) A fast and efficient response surface approach for structural reliability problems. StructSaf 7(1):57–66
Rajashekhar MR, Ellingwood BR (1993) A new look at the response surface approach for reliability analysis. Struct Saf 12:205–220
Bichon BJ, Eldred MS, Mahadevan S, McFarland JM (2012) Efficient global surrogate modeling for reliability-based design optimization. J Mech Des 135(1):11009
Patel SD, Ahmad S, Mahajan P (2014) Reliability analysis of a composite plate under low velocity impact using the gaussian response surface method. Int J Comput Methods Eng Sci Mech 15(3): 218–226
Abaqus 6.10. http://www.simulia.com
Shi Y, Swait T, Soutis C (2012) Modeling damage evolution in composite laminates subjected to low velocity impact. Compos Struct 94:2902–2913
Yen CF (2012) A ballistic material model for continuous–fiber reinforced composites. Int J Impact Eng 46:11–22
Ghanem R, Spanos P (1991) Stochastic finite elements: a spectral approach. Springer, New York
Chen T, Morris J, Martin E (2007) Gaussian process regression for multivariate spectroscopic calibration. Chemometr Intell Lab 87:59–71
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Patel, S., Ahmad, S., Mahajan, P. (2015). Stochastic Finite Element Analysis of Composite Body Armor. In: Matsagar, V. (eds) Advances in Structural Engineering. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2190-6_24
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DOI: https://doi.org/10.1007/978-81-322-2190-6_24
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