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Research Papers

Free-Edge Interlaminar Stresses in Angle-Ply Laminates: A Family of Analytic Solutions

[+] Author and Article Information
Johnathan Goodsell

School of Aeronautics and Astronautics,
Purdue University,
Neil Armstrong Hall of Engineering,
701 West Stadium Avenue,
West Lafayette, IN 47907
e-mail: jgoodsel@purdue.edu

R. Byron Pipes

School of Aeronautics and Astronautics,Schools of Materials Engineering and
Chemical Engineering,
Purdue University,
Armstrong Hall of Engineering,
701 West Stadium Avenue,
West Lafayette, IN 47907
e-mail: bpipes@purdue.edu

1Corresponding author.

Manuscript received December 23, 2015; final manuscript received February 8, 2016; published online March 11, 2016. Editor: Yonggang Huang.

J. Appl. Mech 83(5), 051010 (Mar 11, 2016) (5 pages) Paper No: JAM-15-1697; doi: 10.1115/1.4032766 History: Received December 23, 2015; Revised February 08, 2016

A family of analytic solutions for the prediction of interlaminar stresses in angle-ply laminates has been developed and is presented in a unified form and as a unique set of solutions. The uniqueness of the formulation is demonstrated for the class of thermomechanical states of deformation for which the solutions are valid. These are shown to be limited to the specific cases wherein only two in-plane stress components and one interlaminar stress components are nonzero. Interlaminar shear stress in the angle-ply laminate subjected to thermomechanical loading conditions of uniaxial extension, uniform temperature change, and anticlastic bending is shown to make up the family of solutions in the unified formulation. Further, these are shown to comprise the complete set of the solutions and the conditions which control the limitations of this family of solutions are articulated.

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References

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Figures

Grahic Jump Location
Fig. 1

(a) Laminate geometry and coordinate system and (b) boundary value problem

Grahic Jump Location
Fig. 2

Comparison of U for uniform extension and anticlastic bending with equal magnitude of U at the intersection of the upper-surface and the free-edge

Grahic Jump Location
Fig. 3

Comparison of U at free-edge for uniform extension and anticlastic bending with equal magnitude of U at the intersection of the upper-surface and the free-edge

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