Effects of geometric nonlinearities on damage propagation in patched beam-plates subjected to pressure loading

Carabetta, P. M.; Bottega, W.J.

doi:10.1007/s10704-008-9265-8

Cited by 3 publications

(3 citation statements)

References 16 publications

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“…It was shown in [Carabetta and Bottega 2008], however, that retention of geometric nonlinearities is essential to adequately model debonding phenomena in thin structures for configurations in which the membrane force does not vanish identically. This is so regardless of whether or not buckling is an issue.…”

Section: Discussionmentioning

confidence: 99%

“…It is concluded that this type of buckling is inherent to many types of composite structures and occurs due to competing mechanical and thermal elements of the loading. Most recently, Carabetta and Bottega [2008] studied the effects of geometric nonlinearities on the debonding of patched beam-plates subjected to transverse pressure. Analyses using both nonlinear and linearized models were conducted and compared.…”

Section: Introductionmentioning

confidence: 99%

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On the detachment of patched panels under thermomechanical loading

Bottega¹,

Carabetta²

2009

J. Mech. Solids Struct.

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The problem of propagation of interfacial failure in patched panels subjected to temperature change and transverse pressure is formulated from first principles as a propagating boundaries problem in the calculus of variations. This is done for both cylindrical and flat structures simultaneously. An appropriate geometrically nonlinear thin structure theory is incorporated for each of the primitive structures (base panel and patch) individually. The variational principle yields the constitutive equations of the composite structure within the patched region and an adjacent contact zone, the corresponding equations of motion within each region of the structure, and the associated matching and boundary conditions for the structure. In addition, the transversality conditions associated with the propagating boundaries of the contact zone and bond zone are obtained directly, the latter giving rise to the energy release rates in self-consistent functional form for configurations in which a contact zone is present as well as when it is absent. A structural scale decomposition of the energy release rates is established by advancing the decomposition introduced in W. J. Bottega, Int. J. Fract. 122 (2003), 89-100, to include the effects of temperature. The formulation is utilized to examine the behavior of several representative structures and loadings. These include debonding of unfettered patched structures subjected to temperature change, the effects of temperature on the detachment of beam-plates and arch-shells subjected to three-point loading, and the influence of temperature on damage propagation in patched beam-plates, with both hinged-free and clamped-free support conditions, subjected to transverse pressure. Numerical simulations based on closed form analytical solutions reveal critical phenomena and features of the evolving composite structure. It is shown that temperature change significantly influences critical behavior.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

On the detachment of patched panels under thermomechanical loading

Bottega¹,

Carabetta²

2009

J. Mech. Solids Struct.

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“…[4] further to explore the effects of edge contact [7,8]. It was demonstrated by Carabetta and Bottega [9] that geometric nonlinearities should be retained in the analytical model to more accurately capture edge debonding behavior of such structures, echoing the sentiments of prior studies [10]. The effect of a uniform temperature difference on the debonding behavior of patched structures (when simultaneously subjected to transverse pressure) was examined by Carabetta [11], where the presence of a temperature field was shown to impact the debonding threshold.…”

Section: Introductionmentioning

confidence: 99%

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

Carabetta

Bottega

2012

Journal of Applied Mechanics

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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 obseii'ed 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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On the Interaction of Damage Evolution and Thermal Buckling in Stepped Circular Bilaminates

Xu¹,

Bottega²

2023

Journal of Applied Mechanics

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The behavior and evolution of stepped circular bi-laminates with edge damage under uniform thermal load are studied. The problem is treated as a moving intermediate boundaries problem in the calculus of variations. Varying boundaries are allowed for the evolving damage region from the smaller substructure's edge and the progressing/regressing sliding contact region adjacent to the intact composite structure. Transversality conditions define the locations of propagating boundaries for equilibrium configurations of the evolving composite structure, along with equilibrium equations and interior/exterior boundary conditions. The influence and progression of different contact configurations and detached segment behaviors on the overall composite structure evolution are evaluated. Closed-form analytical solutions for the geometrically non-linear problem yield expressions for the critical buckling load. The analytical solutions provide explicit forms of the total energy release rate along the delamination front and conditions for the propagation of the contact zone boundary. Numerical simulations unveil a rich evolution process, involving contact progression/recession, metamorphosis, buckling, and detachment progression during pre-buckling, sling-shot buckling, and post-buckling phases. These behaviors depend on material properties, sublaminates' geometry, initial damage size, and interfacial bond strength. The study explores the behavior of stepped circular bi-laminates with edge damage under thermal load, addressing their evolution, critical buckling loads, and characteristic damage propagation.

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Effects of geometric nonlinearities on damage propagation in patched beam-plates subjected to pressure loading

Cited by 3 publications

References 16 publications

On the detachment of patched panels under thermomechanical loading

On the detachment of patched panels under thermomechanical loading

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

On the Interaction of Damage Evolution and Thermal Buckling in Stepped Circular Bilaminates

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