Helical inclusion in an elastic matrix

Slepyan, Leonid I.; Parnes, R.

doi:10.1016/s0022-5096(99)00049-6

Cited by 20 publications

(7 citation statements)

References 36 publications

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“…We started studying helical fibre dynamics while looking for structures consuming greater energy under extension. (This topic had been later explored in [9][10][11][12].) Notably, this study, as so often happens, led us to new theoretical formulations.…”

Section: Solitary and Binary Waves In A Helical Fibre (A) Solitary Wavementioning

confidence: 70%

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Slepyan

2019

Phil. Trans. R. Soc. A.

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Section: Solitary and Binary Waves In A Helical Fibre (A) Solitary Wavementioning

confidence: 70%

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Slepyan

2019

Phil. Trans. R. Soc. A.

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“…Such structure subjected to axial loading satisfies the property of translation-rotation helical symmetry [16,20]. Therefore, in the same way that Eq.…”

Section: Axial Periodicity and Helical Symmetrymentioning

confidence: 82%

“…(15)(16)(17)(18)(19)(20)(21)(22)(23) on the mean-line displacements and rotations n − 1 , n + 1 , the displacements of two arbitrary corresponding points of ∂Y + 1 and ∂Y − 1 actually satisfy Eq. (15).…”

Section: Numerical Implementation Of the Homogenization Methodsmentioning

confidence: 99%

Homogenization of helical beam-like structures: application to single-walled carbon nanotubes

Messager

Cartraud

2007

Comput Mech

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International audienceThis work is devoted to the computation of axial stiffness of helical beam-like structures. Starting from the homogenization theory of periodic slender domains and taking benefit of the property of helical symmetry, the overall elastic behavior can be obtained from the solution of three-dimensional problems posed on a reduced basic cell. The mechanical analysis of this reduced basic cell performed using a concise FE model allows therefore to compute easily the anisotropic beam homogenized stiffness coefficients. The accuracy and usefulness of this approach is demonstrated by comparisons with reference solutions and large FE model results for two numerical volume structure examples: a wire spring and a stranded “6 + 1” rope. The homogenization procedure is then applied to single-walled carbon nanotubes and it is shown from the two helical symmetries that their basic cell can be reduced to three beam elements

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“…In this paper, we investigate another configuration, a helicoid, which remedies the spacing issue faced in our previous work. A bistable response under extension can be achieved similar to that of the matrix fracturing in the composite described by Slepyan et al [2000].…”

Section: Introductionmentioning

confidence: 79%

Energy absorption of a helicoidal bistable structure

Leelavanichkul

Cherkaev

Adams

et al. 2010

JOMMS

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The concept of a bistable structure as an energy absorbing structure is presented. A bistable structure is capable of distributing damage throughout the whole body, thus increasing the amount of energy dissipation. Using this concept, a helicoidal bistable structure is developed. We investigate a structure in which a helicoidal orthotropic shell envelops a solid cylinder. The center core of the structure is treated as a linear-elastic isotropic material. Numerical simulations of damage (breakages) are performed under static loads, and the force-displacement relation is obtained as a result. As an energy absorbing structure, the helicoidal bistable structure can absorb more energy than a conventional structure before it fails. The helicoidal bistable structure can be designed to sustain a small elongation while still being able to release energy effectively. The additional twisting degrees of freedom correspond to the additional energy released in the process of elongation.

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Helical inclusion in an elastic matrix

Cited by 20 publications

References 36 publications

About some projects with attendant circumstances

About some projects with attendant circumstances

Homogenization of helical beam-like structures: application to single-walled carbon nanotubes

Energy absorption of a helicoidal bistable structure

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