Abstract
The low velocity impact (LVI) analysis of fiber-reinforced plastic (FRP) plates is a significant study to evaluate the reliability of lightweight structures. This study has wide applications in offshore and naval industries. Safety and reliability assessment as per the international standards is one of the basic objectives of the study. LVI on FRP plates are studied taking the material parameters and loading as random variables. FRP plates are subjected to failure under impact by in-plane loading. To evaluate the safe load carrying capacity and the reliability under impact, dynamic analysis of composite plate subjected to LVI is carried out. Reliability analysis is performed to calculate the stochastic behavior of FRP plates. During impact, the in-plane damage modes such as matrix cracking, fiber failure, and shear cracking are modeled using a failure criterion. The out of plane delamination is modeled using cohesive surfaces. The variability related with the system properties due to the inherent scatter in the geometric and material properties and input loads are modeled in a stochastic fashion. The stochastic finite element analysis (SFEA) is performed to determine the stochastic response of system using Gaussian process response surface method (GPRSM). The safety level qualification is achieved in terms of reliability level targeted.
Similar content being viewed by others
References
Abrate S (1998) Impact on composite structures. Cambridge University Press, Cambridge
Bichon BJ, Eldred MS, Mahadevan S, McFarlan JM (2012) Efficient global surrogate modeling for reliability-based design optimization. ASME J Mech Des 135(1):11009
Camanho PP, Davila CG (2003) Mixed-mode de-cohesion finite elements for the simulation of delamination in composite materials. J Compos Mater 37:1415–1438
Chandrashekara K, Schroeder T (1995) Non-linear impact analysis of laminated cylindrical and doubly curved shells. J Comp Mater 29:2160–2179
Chen NZ, Guedes SC (2008) Spectral stochastic finite element analysis for laminated composite plates. Comput Methods Appl Mech Eng 197:4830–4839
Deodatis G, Shinozuka M (1991) The weighted integral method. II. Response variability and reliability. J Eng Mech 117(8):1865–1877
Ghanem R, Spanos P (1991) Stochastic finite elements: a spectral approach. Springer, New York
Guedes SC (1997) Reliability of components in composite materials. J Reliab Eng Syst Saf 55:171–177
Hashin Z (1980) Failure criteria for unidirectional composites. ASME J Appl Mech 47:329–334
Jeong HK, Shenoi RA (1998) Reliability analysis of mid-plane symmetric laminated plates using direct simulation method. Compos Struct 43(1):1–13
Kam TY, Chang ES (1997) Reliability formulation for composite laminates subjected to first-ply failure. J. Compos Struct 38:447–452
Krishnamurthy KS, Mahajan P, Mittal RK (2003) Impact response and damage in laminated composite cylindrical shells. J Compos Struct 59:15–36
Olsson R (2000) Mass criterion for wave controlled impact response of composite plates. Compos Part A Appl Sci 31:879
Patel S, Ahmad S (2016) Failure prediction of fiber reinforced laminated composite plates under low velocity impact. In: ASME 2016 35th international conference on ocean, offshore and arctic engineering June 19–24, 2016 Busan, South Korea. https://doi.org/10.1115/omae2016-54486
Patel S, Ahmad S (2017) probabilistic failure of graphite epoxy composite plates due to low velocity impact. ASME J Mech Des 139(4):044501
Patel S, Guedes SC (2017) System probability of failure and sensitivity analyses of composite plates under low velocity impact. Compos Struct 180:1022–1031
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
Patel S, Ahmad S, Mahajan P (2015) Stochastic finite element analysis of composite body armor. In: Vasant M (eds) Advance in structural engineering mechanics. Springer, India, pp 259–272. ISBN: 978-81-322-2189-0
Patel S, Ahmad S, Mahajan P (2016) Probabilistic finite element analysis of S2-Glass epoxy composite beams for damage initiation due to high velocity impact. ASME J Risk Uncertain Part B 2(4):044504
Patel S, Ahmad S, Mahajan P (2017) Safety assessment of composite beam under ballistic impact. Thin Walled Struct 10:100. https://doi.org/10.1016/j.tws.2017.05.027
Puck A, Schurmann H (2002) Failure analysis of FRP laminates by means of physically based phenomenological models. Compos Sci Technol 62:1633–1662
Rajashekhar MR, Ellingwood BR (1993) A new look at the response surface approach for reliability analysis. Struct Saf 12:205–220
Singh H, Namala KK, Mahajan P (2015) A damage evolution study of E-glass/epoxy composite under low velocity impact. Compos B Eng 76:235–248
Sun CT, Chen JK (1985) On the impact of initially stressed laminates. J Comp Mater 19:490–504
Vanmarcke EH, Grigoriu M (1983) Stochastic finite element analysis of simple beams. J Eng Mech 109(5):1203–1214
Zhang J, Ellingwood B (1994) Orthogonal series expansion of random fields in reliability analysis. J Eng Mech 120(12):2660–2677
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Patel, S. Probabilistic dynamic analysis of composite plates due to low velocity impact. Life Cycle Reliab Saf Eng 8, 283–290 (2019). https://doi.org/10.1007/s41872-019-00087-y
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s41872-019-00087-y