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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.

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Figures

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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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