Adiabatic third-order elastic constants of fused silica

Optical nanofibers (ONFs) are excellent nanophotonic platforms for various applications such as optical sensing, quantum and nonlinear optics, due to both the tight optical confinement and their wide evanescent field in the sub-wavelength limit. Other remarkable features of these ultrathin fibers are their surface acoustic properties and their high tensile strength. Here we investigate Brillouin light scattering in silica-glass tapered optical fibers under high tensile strain and show that the fundamental properties of elastic waves dramatically change due to elastic anisotropy and nonlinear elasticity for strain larger than 2%. This yields to unexpected and remarkable Brillouin strain coefficients for all Brillouin resonances including surface and hybrid waves, followed by a nonlinear evolution at high tensile strength. We further provide a complete theoretical analysis based on third-order nonlinear elasticity of silica that remarkably agrees with our experimental data. These new regimes open the way to the development of compact tensile strain optical sensors based on nanofibers.

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“…C αβ and C αβγ are second and third order elastic tensor components, respectively. Data are from Ref 15,[33][34][35]. .…”

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confidence: 99%

Nonlinear elasticity of silica nanofiber

et al. 2019

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“…13 These moduli were determined for synthetic fused silica with the acoustic harmonic generation technique combined with ultrasonic beam mixing. We calculated also the nonlinear constants for fused quartz ͑Herasil͒ 1 ϭϪ1.37 and 3 ϭϪ2.9 from the third-order moduli, measured for this material with the hydrostatic compression and uniaxial loading method.…”

Section: Discussionmentioning

confidence: 99%

Characterization of isotropic solids with nonlinear surface acoustic wave pulses

Kolomenskii

Schuessler

2001

Phys. Rev. B

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The nonlinear propagation of high-amplitude surface acoustic wave ͑SAW͒ pulses in two isotropic materials, polycrystalline aluminum and synthetic fused silica, was studied and exhibited qualitatively different types of nonlinear behavior. A single SAW pulse excited by a nanosecond laser pulse through a strongly absorbing layer was detected at two probe spots along the propagation path with a dual-probe-beam deflection setup. In this way the nonlinear changes of the SAW pulse shape were observed. For aluminum, the compression of the SAW pulse and formation of one negative ͑inward the solid͒ narrow peak in the registered normal surface velocity and a shock front in the in-plane velocity were detected. This nonlinear behavior corresponds to a positive value of the nonlinear acoustic constant responsible for the local nonlinearity. For fused silica, the temporal extension of the SAW pulse and formation of two positive sharp peaks in the normal velocity related to two shock fronts in the in-plane velocity were registered. In this case the acoustic constant of the local nonlinearity is negative. The nonlinear acoustic constants for each material were evaluated by fitting the theoretical model based on the nonlinear evolution equation to the registered SAW pulses. The values obtained were found to be consistent with those calculated from nonlinear elastic moduli of the third order, measured previously with different techniques for similar materials. The characterization of solids by their nonlinear acoustic and elastic constants promises to be complimentary and more specific than the characterization based on the linear properties.

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“…These anharmonic contributions are known to be the origin of many basic physical phenomena and properties such as the Grüneisen parameters, deviations from the Dulong-Petit law at high temperatures, thermal expansion and the existence of thermal resistance. While the second order elastic constants are not as well-studied and well-documented as their first order counterparts, methods for measuring them are well-developed and rather widely used, see for example (Bridgman, 1929;Hughes and Kelly, 1953;Crecraft, 1967;Powell and Skove, 1968;Gauster and Breazeale, 1968;Riley and Skove, 1973;Yost and Breazeale, 1973;Hiki, 1981;Krüger et al, 1991;Cavaillé et al, 2009;Kobelev et al, 2007;Payan et al, 2009). The implications of weakly nonlinear elasticity for materials failure remain largely unexplored (but see Knowles, 1981;Chow et al, 1986;Chen et al, 2004a,b;Livne et al, 2008Livne et al, , 2010Goldman et al, 2012), a situation that the present work aims to at least partially improve.…”

Section: Theorymentioning

confidence: 93%

A nonlinear symmetry breaking effect in shear cracks

Harpaz

Bouchbinder

2012

Journal of the Mechanics and Physics of Solids

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Shear cracks propagation is a basic dynamical process that mediates interfacial failure. We develop a general weakly nonlinear elastic theory of shear cracks and show that these experience tensile-mode crack tip deformation, including possibly opening displacements, in agreement with Stephenson's prediction. We quantify this nonlinear symmetry breaking effect, under two-dimensional deformation conditions, by an explicit inequality in terms of the first and second order elastic constants in the quasi-static regime and semi-analytic calculations in the fully dynamic regime. Our general results are applied to various materials. Finally, we discuss available works in the literature and note the potential relevance of elastic nonlinearities for frictional cracks.Comment: 5 pages, 2 figure

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Adiabatic third-order elastic constants of fused silica

Cited by 39 publications

References 8 publications

Nonlinear elasticity of silica nanofiber

Nonlinear elasticity of silica nanofiber

Characterization of isotropic solids with nonlinear surface acoustic wave pulses

A nonlinear symmetry breaking effect in shear cracks

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