0
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.

FIGURES IN THIS ARTICLE
<>
Copyright © 2013 by ASME
Your Session has timed out. Please sign back in to continue.

References

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]

Figures

Grahic Jump Location
Fig. 1

Division of the laminated into three regions (top view)

Grahic Jump Location
Fig. 2

Fibers in a hexagonal arrangement of fibers

Grahic Jump Location
Fig. 3

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

Grahic Jump Location
Fig. 4

Compressive stress distribution around the left pin hole

Grahic Jump Location
Fig. 5

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

Grahic Jump Location
Fig. 6

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

Grahic Jump Location
Fig. 7

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

Grahic Jump Location
Fig. 8

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

Grahic Jump Location
Fig. 9

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

Grahic Jump Location
Fig. 10

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

Grahic Jump Location
Fig. 11

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

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
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