Research Articles

Analytical Study of Two Pin-Loaded Holes in Unidirectional Fiber-Reinforced Composites

[+] Author and Article Information
Mohammad Mahdi Attar

Department of Mechanics,
Hamadan Branch,
Islamic Azad University,
Hamadan, Iran
e-mail: Attarmm2010@yahoo.com

1Corresponding author.

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received September 5, 2011; final manuscript received July 10, 2012; accepted manuscript posted July 25, 2012; published online January 22, 2013. Assoc. Editor: Anthony Waas.

J. Appl. Mech 80(2), 021004 (Jan 22, 2013) (6 pages) Paper No: JAM-11-1330; doi: 10.1115/1.4007226 History: Received September 05, 2011; Revised July 10, 2012; Accepted July 25, 2012

The objective of this paper is to investigate the effects of geometrical parameters such as the edge distance-to-hole diameter ratio {e/d}, plate width-to-hole diameter ratio {w/d}, and the distance between two holes-to-hole diameter ratio {l/d} on stress distribution in a unidirectional composite laminate with two serial pin-loaded holes, analytically and numerically. It is assumed that all short and long fibers lie in one direction while loaded by a force po at infinity. To derive differential equations based on a shear lag model, a hexagonal fiber-array model is considered. The resulting pin loads on composite plate are modeled through a series of spring elements accounting for pin elasticity. The analytical solutions are, moreover, compared with the detailed 3D finite element values. A close match is observed between the two methods. The presence of the pins on shear stress distribution in the laminate is also examined for various pin diameters.

Copyright © 2013 by ASME
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De Jong, T., 1977, “Stresses Around Pin–Loaded Holes in Elastically Orthotropic or Isotropic Plates,” J. Compos. Mater., 11, pp. 313–331. [CrossRef]
Waszczak, J., and Cruse, T., 1971, “Failure Mode and Strength Predictions of Anisotropic Bolt Bearing Specimens,” J. Compos. Mater., 5, pp. 421–425. [CrossRef]
Zhang, K., and Ueng, C., 1985, “Stresses Around a Pin–Loaded Hole in Orthotropic Plates With Arbitrary Loading Direction,” Compos. Struct., 3, pp. 119–143. [CrossRef]
Hyer, M. W., and Klang, E. C., 1985, “Contact Stresses in Pin-Loaded Orthotropic Plates,” Int. J. Solid Struct., 21(9), pp. 957–975. [CrossRef]
Hyer, M. W., Klang, E. C., and Cooper, D. E., 1987, “The Effect of Pin Elasticity, Clearance, and Friction on the Stresses in a Pin–Loaded Orthotropic Plate,” J. Compos. Mater., 21, pp. 190–206. [CrossRef]
Liu, D., and Hou, L., 2003, “Three-Dimensional Size Effects in Composite Pin Joints,” Exp. Mech., 43, pp. 115–123. [CrossRef]
Liu, D., Raju, B. B., and You, J., 1999, “Thickness Effects on Pinned Joints for Composites,” J. Compos. Mater., 33(1), pp. 2–21. [CrossRef]
Li, R., Kelly, D., and Crosky, A., 2002, “Strength Improvement by Fibre Steering Around a Pin Loaded Hole,” Compos. Struct., 57, pp. 377–383. [CrossRef]
Chutima, S., and Blackie, A. P., 1996, “Effect of Pitch Distance, Row Spacing, End Distance and Bolt Diameter on Multi-Fastened Composite Joints,” Composites, Part A, 27(2), pp. 105–110. [CrossRef]
Rowlands, R. E., Rahman, M. U., Wilkinson, T. L., and ChiangY. I., 1982, “Single and Multiple Bolted Joints in Orthotropic Materials,” Composites, 13(3), pp. 273–279. [CrossRef]
Pradhan, B., and Kumar, R., 1984, “Stresses Around Partial Contact Pin-Loaded Holes in FRP Composite Plates,” J. Reinf. Plastics Compos., 3(1), pp. 69–84. [CrossRef]
Naik, R. A., and Crews, J. R., 1986, “Stress Analysis Method for a Clearance-Fit Bolt Under Bearing Loads,” AIAA J., 24(8), pp. 1348–1353. [CrossRef]
Ramamurthy, T. S., 1989, “New Studies on the Effect of Bearing Loads in Lugs With Clearance Fit Pins,” Compos. Struct., 11, pp. 135–150. [CrossRef]
Kim, S. J., and Kim, J. H., 1995, “Finite Element Analysis of Laminated Composite Plates With Multi-Pin Joints Considering Friction,” Comput. Struct., 55(3), pp. 507–514. [CrossRef]
Ko, H. Y., and Kwak, B. M., 1998, “Contact Analysis of Mechanically Fastened Joints in Composite Laminates by Linear Complementarily Problem Formulation,” Compos. Struct., 40(3-4), pp. 187–200. [CrossRef]
LanzadiScalea, F., Cappello, F., and Cloud, G. L., 1999, “On the Elastic Behavior of a Cross-Ply Composite Pin-Joint With Clearance Fits,” J. Thermoplastic Compos. Mater., 12, 13–22. [CrossRef]
Pierron, F., Cerisier, F., and Grediac, M., 2000, “A Numerical and Experimental Study of Woven Composite Pin-Joints,” J. Compos. Mater., 34(12), pp. 1028–1054. [CrossRef]
Kelly, G., and Hallstrom, S., 2004, “Bearing Strength of Carbon Fiber/Epoxy Laminates; Effects of Bolt Hole Clearance,” Composites, Part B, 35, pp. 331–343. [CrossRef]
Icten, B. M., and Sayman, O., 2003, “Failure Analysis of Pin-Loaded Aluminum-Glass-Epoxy Sandwich Composite Plates,” Compos. Sci. Tech., 63, pp. 727–737. [CrossRef]
Okutan, B., 2002, “The Effects of Geometric Parameters on the Failure Strength for Pin-Loaded Multi-Directional Fiber-Glass Reinforced Epoxy Laminate,” Composites, Part B, 33, pp. 567–578. [CrossRef]
Tercan, M., Asi, O., Aktaş, 2005, “An Experimental Investigation of the Bearing Strength of Weft-Knitted 1 × 1 Rib Glass Fiber Composites,” Compos. Struct., 78(3), pp. 392–396. [CrossRef]
Shishesaz, M., Attar, M. M., and Robati, H., 2010, “The Effect of Fiber Arrangement on Stress Concentration Around a Pin in a Laminated Composite Joint,” Proceedings of the 10th Biennial Conference on Engineering Systems Design and Analysis, ASME Paper No. ESDA2010-24587. [CrossRef]


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Fig. 1

Division of the laminated into three regions (top view)

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Fig. 2

Fibers in a hexagonal arrangement of fibers

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Fig. 3

Finite element model of the laminated plate (spring elements are not shown)

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Fig. 4

Compressive stress distribution around the left pin hole

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Fig. 5

Compressive stress distribution around the right pin hole for r = 6 and η = 3

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Fig. 6

Compressive stress distribution around the right pin hole for r = 6

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Fig. 7

Compressive stress distribution around the left pin hole for r = 6 and e/d = 2

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Fig. 8

Maximum tensile stress concentration around the left pin hole for η = 3 and e/d = 2

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Fig. 9

Maximum tensile stress concentration around the right pin hole for η = 3 and e/d = 2

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Fig. 10

The effect of broken fibers and distance between two pin on dimensionless shear stress in point a

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Fig. 11

The effect of broken fibers and distance between two pin on dimensionless shear stress in point c




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