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Research Articles

Analytical Study of a Pin-Loaded Hole in Unidirectional Laminated Composites With Triangular and Circular Fibers

[+] Author and Article Information
Hossein Robati

Department of Mechanics,
Dezful Branch,
Islamic Azad University,
Dezful, Iran
e-mail: hossein.robati@gmail.com

Mohammad Mahdi Attar

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

1Corresponding author.

Manuscript received January 27, 2012; final manuscript received June 24, 2012; accepted manuscript posted July 24, 2012; published online January 25, 2013. Assoc. Editor: Anthony Waas.

J. Appl. Mech 80(2), 021018 (Jan 25, 2013) (7 pages) Paper No: JAM-12-1034; doi: 10.1115/1.4007212 History: Received January 27, 2012; Revised June 24, 2012; Accepted July 24, 2012

The problem of stress concentrations in the vicinity of pin-loaded holes is of particular importance in the design of multilayered composite structures made of triangular or circular glass fibers. It is assumed that all of the fibers in the laminate lie in one direction while loaded by a force p0 at infinity, parallel to the direction of the fibers. According to the shear lag model, equilibrium equations are derived for both types of fibers. A rectangular arrangement is postulated in either case. Upon the proper use of boundary and bondness conditions, stress fields are derived within the laminate, along with the surrounding pinhole. The analytical results are compared to those of the finite element values. A very good agreement is observed between the two methods. According to the results, composite structures made of triangular glass fibers result in lower values of stress concentrations around the pin, as opposed to those of circular glass fibers.

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Figures

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Fig. 1

Laminate with triangular fibers

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Fig. 2

Fibers in a rectangular arrangement

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Fig. 3

Example of three dimensions of the mesh and elements

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Fig. 4

Division of the laminate into two regions

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Fig. 5

Loads at the end of a typical cut fiber by the hole (spring element are not shown)

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Fig. 6

The effect of broken fibers on the maximum tensile stress concentration in the laminate

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Fig. 7

The effect of e and w on the maximum stress concentration produced within the laminate

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Fig. 8

Compressive stress distribution within the fibers behind the pin

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Fig. 9

Variation of peak shear stresses at point b

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Fig. 10

The effect of α on St within the laminate

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Fig. 11

Variation of the peak shear stress at point b as a function of α

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Fig. 12

Tensile stress variation within the laminate as a function of r (m = 17)

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