On the use of planar shear-lag methods for stress-transfer analysis of multilayered composites

Nairn, John A.; Mendels, D. A.

doi:10.1016/s0167-6636(01)00056-4

Cited by 152 publications

(102 citation statements)

References 31 publications

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“…The problem is thus reduced to finding r ð1Þ by elastic stress transfer analysis between layers 1 and 2 with boundary condition of ±s 2S applied on the surface of layer 2. This problem can be solved accurately by optimal shear-lag analysis and is a special case of the general solution derived by Nairn and Mendels (2001). For fragment i in layer 1 entirely on the left of the layer 2 fragment ðx < l ð2Þ c =2Þ, the general solution for the layer 1 stress is…”

Section: Elastic-yielded Modelmentioning

confidence: 99%

“…where the y coordinate is centered on fragment i and extends from -l i /2 to +l i /2, x 0 i is the x coordinate at the center of fragment i, tE 0 = t 1 E 1 + t 2 E 2 , E 1 and E 2 are moduli of the layers, and b is the optimal shear-lag parameter defined by Nairn and Mendels (2001) …”

Section: Elastic-yielded Modelmentioning

confidence: 99%

“…6 (dashdot line). Each fragment in layer 1 has the characteristic hyperbolic shape of shear-lag solutions (Nairn and Mendels, 2001), but is skewed by the shear stress boundary condition on layer 2.…”

Section: Elastic-yielded Modelmentioning

confidence: 99%

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Models for saturation damage state and interfacial shear strengths in multilayer coatings

Leterrier

Waller

Nairn

2010

Mechanics of Materials

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a b s t r a c tThe present work investigates the saturation damage state of a two-layer coating on a substrate (layer 1/layer 2/substrate) under uniaxial tensile loading in order to derive expressions for the interfacial strength between layer 1 and layer 2, and between layer 2 and substrate. It is based on experimental data on specimens where layer 1 is an inorganic film, layer 2 is an organic coating and the substrate is a polymer. The analysis is relevant to the cases where layer 1 cracks first, followed by layer 2, in which cracks appear due to stress concentrations caused by the cracks in layer 1. It considers the cases where at least one interface is completely yielded with shear stress equal to the interfacial shear stress, and where the crack density in layer 1 is equal to or higher than the crack density in layer 2. The possible situations depend on the relative shear strengths between layers 1 and 2 and between layer 2 and the substrate. The interfacial shear strength between layer 1 and layer 2, and between layer 2 and substrate are derived for elastic and yielded stress transfer cases and found to frame experimental values obtained with single-layer coatings.

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Section: Elastic-yielded Modelmentioning

confidence: 99%

Section: Elastic-yielded Modelmentioning

confidence: 99%

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Models for saturation damage state and interfacial shear strengths in multilayer coatings

Leterrier

Waller

Nairn

2010

Mechanics of Materials

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“…A generalized shear lag method [13,25] was used to derive an analytical result for stiffness of the double lap shear (DLS) specimen in Fig. 4 including the effects of an imperfect interface.…”

Section: Appendix a Double Lap Shear Specimen Analysismentioning

confidence: 99%

Numerical implementation of imperfect interfaces

Nairn¹

2007

Computational Materials Science

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One approach to characterizing interfacial stiffness is to introduce imperfect interfaces that allow displacement discontinuities whose magnitudes depend on interfacial traction and on properties of the interface or interphase region. This work implemented such imperfect interfaces into both finite element analysis and the material point method. The finite element approach defined imperfect interface elements that are compatible with static, linear finite element analysis. The material point method interfaces extended prior contact methods to include interfaces with arbitrary traction-displacement laws. The numerical methods were validated by comparison to new or existing stress transfer models for composites with imperfect interfaces. Some possible experiments for measuring the imperfect interface parameters needed for modeling are discussed.

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“…In classical shear lag analysis of force transfer, the global stress distributions can be obtained by assuming that hard and soft phases carry the axial and shear stresses, respectively, and considering the displacement and stress continuity conditions at the interfaces. 6 The mechanical properties of the structure, such as the optimal overlap length and effective modulus of nacre, 7 characteristic length of biological composites, 8 and persistence length of microtubules, can be investigated. 9 In Gurtin-Murdoch model, the surface layer is considered a membrane with decreasing thickness and assumed to adhere ideally to bulk substrate.…”

Section: Introductionmentioning

confidence: 99%

Interface effect of nanoscaled adhesive interlayer on force transfer in biological microjoint

Yuan

Chen

2017

AIP Advances

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ARTICLES YOU MAY BE INTERESTED INCautions to predicate multiferroic by atomic force microscopy AIP Advances 7, 055003 (2017) The interface effect of nanoscale adhesive interlayer plays a significant role in force transfer in biological microjoint. In this letter, the authors adopted shear lag theory and Gurtin-Murdoch model to investigate the influence of two typical residual interface shears on stress distribution. The dominant governing equations of global interfacial shear stress are established using the stress jump across the interface and the continuity condition of interlayers. The transferred force is evidently reduced by the parabolic residual interface shear, and linear residual interface shear exerts no influence on the axial force of hard layer. This study might be helpful for the parametric investigation on stress transfer in a complicated microjoint and the interface design of nanocomposite. © 2017 Author (s)

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On the use of planar shear-lag methods for stress-transfer analysis of multilayered composites

Cited by 152 publications

References 31 publications

Models for saturation damage state and interfacial shear strengths in multilayer coatings

Models for saturation damage state and interfacial shear strengths in multilayer coatings

Numerical implementation of imperfect interfaces

Interface effect of nanoscaled adhesive interlayer on force transfer in biological microjoint

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