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Research Papers

On the Interaction of Thermally Induced Buckling and Debond Propagation in Patched Structures

[+] Author and Article Information
P. M. Carabetta

Department of Mechanical and Aerospace Engineering,  Rutgers University, 98 Brett Road,Piscataway, NJ 08854–8058pamc@eden.rutgers.edu

W. J. Bottega

Department of Mechanical and Aerospace Engineering,  Rutgers University, 98 Brett Road,Piscataway, NJ 08854–8058bottega@rci.rutgers.edu

Note that some equation numbers refer to more than one equation shown on the corresponding line; the subscript indicates which one, reading left to right, the authors are referring to.

Anti-symmetric buckling is seen to occur at higher critical thermal load levels and hence is not an issue for the purposes of this work.

J. Appl. Mech 79(6), 061012 (Sep 17, 2012) (10 pages) doi:10.1115/1.4006493 History: Received August 30, 2011; Revised March 13, 2012; Posted April 02, 2012; Published September 17, 2012; Online September 17, 2012

The coupling of edge debonding and thermal buckling of patched beam-plates possessing initial edge detachment is examined for the case when the structure is subjected to a uniform temperature change. The geometrically nonlinear analytical model employed is that established by the authors in a prior work. The problem is recast in a mixed formulation in terms of the transverse deflection and the membrane force to aid in the analysis and physical interpretation. The interaction of edge-debond propagation and thermal buckling is studied. The phenomenon of buckle-trapping, originally observed by the authors in a congruent study, as well as the phenomenon of sling-shot buckling, is seen to manifest itself in the debonding behavior. The evolution of the structure is predicted as a function of given material and geometric parameters from numerical simulations based on analytical solutions of the nonlinear problem. A (propagating) contact zone adjacent to the bonded region is accounted for, and its presence or absence, as well as its nature, is seen to be highly influential in the global as well as local behavior of the structure.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

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Figure 1

Dimensionless half-span of structure

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Figure 2

Intermediate contact zone

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Figure 3

Full contact zone

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Figure 4

Generic schematic of energy release rate as a function of conjugate bond zone size

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Figure 5

Sample debonding scenarios: (a) unstable and catastrophic, (b) stable

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Figure 6

Critical buckling temperature differences as a function of conjugate bond zone sizes for Lp  = 0.9: (a) hinged-fixed ends, (b) clamped-fixed ends. Gray indicates the case of fully lifted flaps and black indicates the case of full contact.

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Figure 7

Energy release rate as a function of conjugate bond zone size for a structure with hinged-fixed supports, for the temperatures αΘ = 0.0036 (black), αΘ = 0.0055 (dark gray), αΘ = 0.0075 (gray). Solid lines represent equilibrium configurations with fully lifted flaps, and dotted lines represent post-buckling configurations with full contact zone.

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Figure 8

Energy release rate versus conjugate bond zone size, clamped-fixed ends, αΘ = 0.008 (black), αΘ = 0.012 (dark gray), αΘ = 0.015 (gray). Dotted lines represent pre-buckled full contact zone configurations, solid lines represent configurations with fully lifted flaps, and dashed lines represent post-buckled propagating contact configurations.

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