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Journal articles on the topic 'Nonlinear interfaces'

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Author: Grafiati

Published: 13 April 2024

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1

Savotchenko, S. E. "Nonlinear surface waves propagating along the composite waveguide consisting of self-focusing slab between defocusing media separated by interfaces with nonlinear response." Journal of Nonlinear Optical Physics & Materials 28, no. 04 (December 2019): 1950039. http://dx.doi.org/10.1142/s0218863519500395.

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The model of the composite symmetric waveguide consisting of self-focusing slab between defocusing nonlinear media separated by interfaces characterized by own nonlinearity response is proposed. Two new types of nonlinear surface waves propagating along it with anti-phase amplitude oscillations at interface planes are found. The frequencies of the nonlinear surface waves existing near the interfaces with the nonlinear response only are calculated analytically. The conditions of the surface wave existence are found. The frequencies and localization distances of the surface waves in dependence on nonlinearity waveguide parameters, slab width and interface characteristics are analyzed.

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2

NASALSKI, W., and D. BURAK. "GAUSSIAN BEAM NONSPECULAR REFLECTION AT A NONLINEAR DEFOCUSING INTERFACE." Journal of Nonlinear Optical Physics & Materials 04, no. 04 (October 1995): 929–42. http://dx.doi.org/10.1142/s0218863595000422.

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Nonspecular reflection of a Gaussian beam impinging an interface between linear and defocusing nonlinear Kerr medium is numerically investigated. A composite nonspecular shift of the reflected beam is documented for both local and nonlocal nonlinear interfaces and the nonspecular character of the beam-interface interaction is clearly shown. In analogy to previous studies on interfaces with focusing and local Kerr nonlinearities, and contrary to the results on interfaces with nonlocal defocusing nonlinearity, no bistability in the parameters of the reflected beam is found. This is also confirmed by numerical simulations based on iterative scheme with a memory effect introduced into the solving procedure.

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3

VASSILIEV, O. N., and M. G. COTTAM. "OPTICALLY NONLINEAR S-POLARIZED ELECTROMAGNETIC WAVES IN MULTILAYERED SYMMETRIC DIELECTRICS." Surface Review and Letters 07, no. 01n02 (February 2000): 89–102. http://dx.doi.org/10.1142/s0218625x00000129.

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A theory is presented for the nonlinear s-polarized electromagnetic waves in multilayer systems with an arbitrary number of planar interfaces. Each of the individual layers may be characterized by either a linear or a Kerr-type nonlinear dielectric constant, and we examine the coupled nonlinear waves at both linear/nonlinear and nonlinear/nonlinear interfaces. An analysis of the phase trajectories (in terms of an electric field amplitude and its spatial derivative) is employed to enumerate the modes of the system in a systematic manner and to facilitate the derivation of dispersion relations. In particular, numerical examples are given for two-interface systems (for example, a thin film sandwiched between two semi-infinite media) and for periodic superlattices (with effectively infinite interfaces), thereby extending previous calculations.

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4

Savotchenko, S. E. "Nonlinear surface waves propagating along composite waveguide consisting of nonlinear defocusing media separated by interfaces with nonlinear response." Journal of Nonlinear Optical Physics & Materials 29, no. 01n02 (March 2020): 2050002. http://dx.doi.org/10.1142/s0218863520500022.

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The nonlinear surface waves propagating along the ultra-thin-film layers with nonlinear properties separating three nonlinear media layers are considered. The model based on a stationary nonlinear Schrödinger equation with a nonlinear potential modeling the interaction of a wave with the interface in a short-range approximation is proposed. We concentrated on effects induced by the difference of characteristics of the layers and their two interfaces. The surface waves of three types exist in the system considered. The dispersion relations determining the dependence of surface waves energy on interface intensities and medium layer characteristics are obtained and analyzed. The localization energy is calculated in explicit form for many difference cases. The conditions of the wave localization on dependence of the layer and interface characteristics are derived. The surface waves with definite energies in specific cases existing only in the presence of the interface nonlinear response are found. All results are obtained in an explicit analytical form.

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5

Nouira, Dorra, Davide Tonazzi, Anissa Meziane, Laurent Baillet, and Francesco Massi. "Numerical and Experimental Analysis of Nonlinear Vibrational Response due to Pressure-Dependent Interface Stiffness." Lubricants 8, no. 7 (July 10, 2020): 73. http://dx.doi.org/10.3390/lubricants8070073.

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Modelling interface interaction with wave propagation in a medium is a fundamental requirement for several types of application, such as structural diagnostic and quality control. In order to study the influence of a pressure-dependent interface stiffness on the nonlinear response of contact interfaces, two nonlinear contact laws are investigated. The study consists of a complementary numerical and experimental analysis of nonlinear vibrational responses due to the contact interface. The laws investigated here are based on an interface stiffness model, where the stiffness property is described as a nonlinear function of the nominal contact pressure. The results obtained by the proposed laws are compared with experimental results. The nonlinearity introduced by the interface is highlighted by analysing the second harmonic contribution and the vibrational time response. The analysis emphasizes the dependence of the system response, i.e., fundamental and second harmonic amplitudes and frequencies, on the contact parameters and in particular on contact stiffness. The study shows that the stiffness–pressure trend at lower pressures has a major effect on the nonlinear response of systems with contact interfaces.

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6

Liang, Yu, Zhigang Zhai, Juchun Ding, and Xisheng Luo. "Richtmyer–Meshkov instability on a quasi-single-mode interface." Journal of Fluid Mechanics 872 (June 13, 2019): 729–51. http://dx.doi.org/10.1017/jfm.2019.416.

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Experiments on Richtmyer–Meshkov instability of quasi-single-mode interfaces are performed. Four quasi-single-mode air/$\text{SF}_{6}$ interfaces with different deviations from the single-mode one are generated by the soap film technique to evaluate the effects of high-order modes on amplitude growth in the linear and weakly nonlinear stages. For each case, two different initial amplitudes are considered to highlight the high-amplitude effect. For the single-mode and saw-tooth interfaces with high initial amplitude, a cavity is observed at the spike head, providing experimental evidence for the previous numerical results for the first time. For the quasi-single-mode interfaces, the fundamental mode is the dominant one such that it determines the amplitude linear growth, and subsequently the impulsive theory gives a reasonable prediction of the experiments by introducing a reduction factor. The discrepancy in linear growth rates between the experiment and the prediction is amplified as the quasi-single-mode interface deviates more severely from the single-mode one. In the weakly nonlinear stage, the nonlinear model valid for a single-mode interface with small amplitude loses efficacy, which indicates that the effects of high-order modes on amplitude growth must be considered. For the saw-tooth interface with small amplitude, the amplitudes of the first three harmonics are extracted from the experiment and compared with the previous theory. The comparison proves that each initial mode develops independently in the linear and weakly nonlinear stages. A nonlinear model proposed by Zhang & Guo (J. Fluid Mech., vol. 786, 2016, pp. 47–61) is then modified by considering the effects of high-order modes. The modified model is proved to be valid in the weakly nonlinear stage even for the cases with high initial amplitude. More high-order modes are needed to match the experiment for the interfaces with a more severe deviation from the single-mode one.

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7

Савотченко, С. Е. "Нелинейные интерфейсные волны в трехслойной оптической структуре с отличающимися характеристиками слоев и внутренней самофокусировкой." Журнал технической физики 127, no. 7 (2019): 159. http://dx.doi.org/10.21883/os.2019.07.47944.231-18.

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AbstractA model of a trilayered optical structure, the plane-parallel boundary of which possesses its own nonlinear properties, is considered. The inner layer with a finite thickness is an optically transparent medium with Kerr self-focusing nonlinearity, which is in contact with linear half-spaces from the outer surface that are characterized by refractive indices independent of the electric field strength amplitude. Refractive indices in the layer interfaces within infinitely small thicknesses are approximated by the dependence that includes Dirac’s delta function. It is shown that the mathematical formulation of the model boils down to a nonlinear Schrödinger equation with a nonlinear self-consistent potential. It is established that two types of nonlinear localized waves of the electric field strength perturbations can propagate along the layers in the considered trilayered structure. Dispersion relations of the interface waves that allow one to determine the propagation constant and decrements of their spatial attenuation in linear half-spaces as a function of the system parameters are derived. Conditions for localization of a luminous flux along the layer interfaces are analyzed in relation to the sign of the layer parameters. It is shown that the characteristic distance of the field localization linearly depends on the interface nonlinear response parameter. It is established that the characteristic localization distance is shortened in the case of a positive nonlinear response in comparison with the localization length when interfaces do not interact with the field and lengthened in the case of a negative nonlinear response.

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8

Shrivastava, Shamit, Kevin H. Kang, and Matthias F. Schneider. "Collision and annihilation of nonlinear sound waves and action potentials in interfaces." Journal of The Royal Society Interface 15, no. 143 (June 2018): 20170803. http://dx.doi.org/10.1098/rsif.2017.0803.

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Nerve impulses, previously proposed as manifestations of nonlinear acoustic pulses localized at the plasma membrane, can annihilate upon collision. However, whether annihilation of acoustic waves at interfaces takes place is unclear. We previously showed the propagation of nonlinear sound waves that propagate as solitary waves above a threshold (super-threshold) excitation in a lipid monolayer near a phase transition. Here we investigate the interaction of these waves. Sound waves were excited mechanically via a piezo cantilever in a lipid monolayer at the air–water interface and their amplitude is reported before and after a collision. The compression amplitude was observed via Förster resonance energy transfer between donor and acceptor dyes, measured at fixed points along the propagation path in the lipid monolayer. We provide direct experimental evidence for the annihilation of two super-threshold interfacial pulses upon head-on collision in a lipid monolayer and conclude that sound waves propagating in a lipid interface can interact linearly, nonlinearly, or annihilate upon collision depending on the state of the system. Thus we show that the main characteristics of nerve impulses, i.e. solitary character, velocity, couplings, all-or-none behaviour, threshold and even annihilation are also demonstrated by nonlinear sound waves in a lipid monolayer, where they follow directly from the thermodynamic principles applied to an interface. As these principles are equally unavoidable in a nerve membrane, our observations strongly suggest that the underlying physical basis of action potentials and the observed nonlinear-pules is identical.

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9

Sánchez-Curto, Julio, Pedro Chamorro-Posada, and Graham S. McDonald. "Dark solitons at nonlinear interfaces." Optics Letters 35, no. 9 (April 22, 2010): 1347. http://dx.doi.org/10.1364/ol.35.001347.

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10

Sánchez-Curto, J., P. Chamorro-Posada, and G. S. McDonald. "Helmholtz solitons at nonlinear interfaces." Optics Letters 32, no. 9 (April 3, 2007): 1126. http://dx.doi.org/10.1364/ol.32.001126.

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11

NAKABAYASHI, Seiichiro, Yasuyuki MIYAKITA, and Antonis KARANTONIS. "Nonlinear Dynamics at Electrochemical Interfaces." Hyomen Kagaku 25, no. 2 (2004): 104–9. http://dx.doi.org/10.1380/jsssj.25.104.

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12

Roke, Sylvie. "Nonlinear spectroscopy of bio-interfaces." International Journal of Materials Research 102, no. 7 (July 2011): 906–12. http://dx.doi.org/10.3139/146.110535.

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13

Glasner, Karl. "Nonlinear Preconditioning for Diffuse Interfaces." Journal of Computational Physics 174, no. 2 (December 2001): 695–711. http://dx.doi.org/10.1006/jcph.2001.6933.

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14

Luo, Xisheng, Yu Liang, Ting Si, and Zhigang Zhai. "Effects of non-periodic portions of interface on Richtmyer–Meshkov instability." Journal of Fluid Mechanics 861 (December 20, 2018): 309–27. http://dx.doi.org/10.1017/jfm.2018.923.

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The development of a non-periodic $\text{air}\text{/}\text{SF}_{6}$ gaseous interface subjected to a planar shock wave is investigated experimentally and theoretically to evaluate the effects of the non-periodic portions of the interface on the Richtmyer–Meshkov instability. Experimentally, five kinds of discontinuous chevron-shaped interfaces with or without non-periodic portions are created by the extended soap film technique. The post-shock flows and the interface morphologies are captured by schlieren photography combined with a high-speed video camera. A periodic chevron-shaped interface, which is multi-modal (81 % fundamental mode and 19 % high-order modes), is first considered to evaluate the impulsive linear model and several typical nonlinear models. Then, the non-periodic chevron-shaped interfaces are investigated and the results show that the existence of non-periodic portions significantly changes the balanced position of the initial interface, and subsequently disables the nonlinear model which is applicable to the periodic chevron-shaped interface. A modified nonlinear model is proposed to consider the effects of the non-periodic portions. It turns out that the new model can predict the growth of the shocked non-periodic interface well. Finally, a method is established using spectrum analysis on the initial shape of the interface to separate its bubble structure and spike structure such that the new model can apply to any random perturbed interface. These findings can facilitate the understanding of the evolution of non-periodic interfaces which are more common in reality.

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15

Rasing, Th, and Y. R. Shen. "Interface Studies with Nonlinear Optics." MRS Bulletin 13, no. 7 (July 1988): 28–30. http://dx.doi.org/10.1557/s0883769400065234.

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The importance of interfaces for material science and electronic devices has stimulated great interest in the development of surface analytical tools. Among them, modern optical techniques using lasers have attracted the most attention in recent years. They have the advantage of being applicable to all interfaces accessible by light, and the high temporal, spatial, and spectral resolutions offer unique opportunities for studying ultrafast molecular dynamics and other transient phenomena at interfaces. Optical second harmonic generation (SHG) and sum-frequency generation (SFG) are particularly being noticed because of the many recent successful demonstrations of their versatility. This article briefly introduces these newly developed surface probes, first outlining the basic principles behind surface SHG and SFG, and then illustrating the power of the techniques with selected examples. A more complete treatment of the theory can be found in References 4–6. An overview of the earlier applications can be found in Reference 3.SHG arises from the nonlinear polarization P(2)(2ω) induced in a medium by an incident laser field E(ω). In the electric dipole approximation, P is given by:where is a second-order nonlinear susceptibility. For a medium with inversion symmetry, it follows directly from Eq. 1 that = 0. However, at an interface the surface nonlinear susceptibility is nonvanishing because there the inversion symmetry is necessarily broken.

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16

Xiao, Huifang, Yimin Shao, and Chris K. Mechefske. "Transmission of vibration and energy through layered and jointed plates subjected to shock excitation." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 226, no. 7 (November 10, 2011): 1765–77. http://dx.doi.org/10.1177/0954406211428012.

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In this article, the vibration and energy transmission characteristics at the multiple interfaces of layered and jointed plates associated with friction are studied as a function of the shock loading amplitude using the established ‘sphere-joint assembled multi-layered plates’ model. The dynamic responses at the multiple interfaces under shock excitation are calculated using finite element analysis. The transmissions of vibration and energy through the multiple interfaces are characterized by the defined vibration and energy transmission ratios. Results show that the acceleration amplitudes at different interfaces increase nonlinearly with the shock amplitude and they are approximated by a third-order polynomial function. The acceleration amplitude nonlinearly decreases along the transmitting interfaces and the maximum attenuation occurs between the first and second transmitting interfaces. A minimum vibration transmission ratio is observed for the range of shock amplitude considered and the value of shock amplitude leading to the minimum is identical for different transmitting interfaces. It is also shown that the energy transmission ratio exhibits a nonlinear behaviour similar to that of the vibration transmission ratio. The expression for determining the shock amplitude resulting in peak energy transmission ratio at the input interface is also presented. Experimental validation is performed, which shows good agreement with numerical results.

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17

Petrov, E. P. "Direct Parametric Analysis of Resonance Regimes for Nonlinear Vibrations of Bladed Disks." Journal of Turbomachinery 129, no. 3 (July 25, 2006): 495–502. http://dx.doi.org/10.1115/1.2720487.

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A method has been developed to calculate directly resonance frequencies and resonance amplitudes as functions of design parameters or as a function of excitation levels. The method provides, for the first time, this capability for analysis of strongly nonlinear periodic vibrations of bladed disks and other structures with nonlinear interaction at contact interfaces. A criterion for determination of major, sub-, and superharmonic resonance peaks has been formulated. Analytical expressions have been derived for accurate evaluation of the criterion and for tracing resonance regimes as function of such contact interface parameters as gap and interference values, friction and contact stiffness coefficients, and normal stresses. High accuracy and efficiency of the new method have been demonstrated on numerical examples including a large-scale nonlinear bladed disk model and major types of contact interfaces including friction contact interfaces, gaps, and cubic nonlinearities.

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18

Savotchenko, S. E. "Localized states in symmetric three-layered structure consisting of linear layer between focusing media separated by interfaces with nonlinear response." Modern Physics Letters B 33, no. 11 (April 18, 2019): 1850127. http://dx.doi.org/10.1142/s0217984919501276.

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We analyze the localization in three-layered symmetric structure consisting of linear layer between focusing nonlinear media separated by nonlinear interfaces. The mathematical formulation of the model is a one-dimensional boundary value problem for the nonlinear Schrödinger equation. We find nonlinear localized states of two types of symmetry. We derive the energies of obtained stationary states in explicit form. We obtain the localization energies as exact solutions of dispersion equations choosing the amplitude of the interface oscillations as a free parameter. We analyze the conditions of their existence depending on the combination of signs of interface parameters.

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19

Schmalzried, Hermann. "Chemical kinetics at solid-solid interfaces." Pure and Applied Chemistry 72, no. 11 (January 1, 2000): 2137–47. http://dx.doi.org/10.1351/pac200072112137.

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The kinetics of solid-solid interfaces controls in part the course of heterogeneous reactions in the solid state, in particular in miniaturized systems. In this paper, the essential situations of interface kinetics in solids are defined, and the basic formal considerations are summarized. In addition to the role interfaces play as resistances for transport across them, they offer high diffusivity paths laterally and thus represent two-dimensional reaction media. Experimental examples will illustrate the kinetic phenomena at static and moving boundaries, including problems such as exchange fluxes, boundary-controlled solid-state reactions, interface morphology, nonlinear phenomena connected with interfaces, and reactions in and at boundaries, among others.

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20

ABDULLA, UGUR G., and ROQIA JELI. "Evolution of interfaces for the nonlinear parabolic p-Laplacian-type reaction-diffusion equations. II. Fast diffusion vs. absorption." European Journal of Applied Mathematics 31, no. 3 (March 18, 2019): 385–406. http://dx.doi.org/10.1017/s095679251900007x.

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We present a full classification of the short-time behaviour of the interfaces and local solutions to the nonlinear parabolic p-Laplacian-type reaction-diffusion equation of non-Newtonian elastic filtration$$u_t-\Big(|u_x|^{p-2}u_x\Big)_x+bu^{\beta}=0, \ 1 \lt p \lt 2, \beta \gt 0.$$If the interface is finite, it may expand, shrink or remain stationary as a result of the competition of the diffusion and reaction terms near the interface, expressed in terms of the parameters p, β, sign b, and asymptotics of the initial function near its support. In some range of parameters, strong domination of the diffusion causes infinite speed of propagation and interfaces are absent. In all cases with finite interfaces, we prove the explicit formula for the interface and the local solution with accuracy up to constant coefficients. We prove explicit asymptotics of the local solution at infinity in all cases with infinite speed of propagation. The methods of the proof are based on nonlinear scaling laws and a barrier technique using special comparison theorems in irregular domains with characteristic boundary curves. A full description of small-time behaviour of the interfaces and local solutions near the interfaces for slow diffusion case when p>2 is presented in a recent paper by Abdulla and Jeli [(2017) Europ. J. Appl. Math.28(5), 827–853].

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21

Li, Zhen-Ni, Yi-Ze Wang, and Yue-Sheng Wang. "Tunable mechanical diode of nonlinear elastic metamaterials induced by imperfect interface." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2245 (January 2021): 20200357. http://dx.doi.org/10.1098/rspa.2020.0357.

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In this investigation, the non-reciprocal transmission in a nonlinear elastic metamaterial with imperfect interfaces is studied. Based on the Bloch theorem and stiffness matrix method, the band gaps and transmission coefficients with imperfect interfaces are obtained for the fundamental and double frequency cases. The interfacial influences on the transmission behaviour are discussed for both the nonlinear phononic crystal and elastic metamaterial. Numerical results for the imperfect interface structure are compared with those for the perfect one. Furthermore, experiments are performed to support the theoretical analysis. The present research is expected to be helpful to design tunable devices with the non-reciprocal transmission and diode behaviour of the elastic metamaterial.

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22

Kirilyuk, V., A. Kirilyuk, and Th Rasing. "Nonlinear Optical Microscopy of Magnetic Interfaces." Journal of the Magnetics Society of Japan 23, S_1_MORIS_99 (1999): S1_209–209. http://dx.doi.org/10.3379/jmsjmag.23.s1_209.

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23

Daum, W., H.-J. Krause, U. Reichel, and H. Ibach. "Nonlinear optical spectroscopy at silicon interfaces." Physica Scripta T49B (January 1, 1993): 513–18. http://dx.doi.org/10.1088/0031-8949/1993/t49b/024.

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24

Gerasimchuk, I. V., and A. S. Kovalev. "Localization of nonlinear waves between interfaces." Physics of the Solid State 45, no. 6 (June 2003): 1141–44. http://dx.doi.org/10.1134/1.1583805.

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25

SHEN, Y. R. "NONLINEAR OPTICAL STUDIES OF POLYMER INTERFACES." Journal of Nonlinear Optical Physics & Materials 03, no. 04 (October 1994): 459–68. http://dx.doi.org/10.1142/s0218199194000250.

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Second-order nonlinear optical processes can be used as effective surface probes. They can provide some unique opportunities for studies of polymer interfaces. Here we describe two examples to illustrate the potential of the techniques. One is on the formation of metal/polymer interfaces. The other is on the alignment of liquid crystal films by mechanically rubbed polymer surfaces.

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26

Sagis, Leonard M. C. "Nonlinear rheological models for structured interfaces." Physica A: Statistical Mechanics and its Applications 389, no. 10 (May 2010): 1993–2006. http://dx.doi.org/10.1016/j.physa.2010.01.032.

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27

Raschke, Markus B., and Y. Ron Shen. "Nonlinear optical spectroscopy of solid interfaces." Current Opinion in Solid State and Materials Science 8, no. 5 (October 2004): 343–52. http://dx.doi.org/10.1016/j.cossms.2005.01.002.

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28

Liebsch, A. "Nonlinear optics from surfaces and interfaces." Surface Science 307-309 (April 1994): 1007–16. http://dx.doi.org/10.1016/0039-6028(94)91532-6.

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29

Jiao, J. P., W.-H. Liu, C.-F. He, B. Wu, and J. Zhang. "Nonlinear Acoustic Interaction of Contact Interfaces." Experimental Mechanics 54, no. 1 (January 9, 2013): 63–68. http://dx.doi.org/10.1007/s11340-012-9710-5.

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30

Eaves, T. S., and N. J. Balmforth. "Instability of sheared density interfaces." Journal of Fluid Mechanics 860 (December 3, 2018): 145–71. http://dx.doi.org/10.1017/jfm.2018.827.

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Of the canonical flow instabilities (Kelvin–Helmholtz, Holmboe-wave and Taylor–Caulfield) of stratified shear flow, the Taylor–Caulfield instability (TCI) has received relatively little attention, and forms the focus of the current study. First, a diagnostic of the linear instability dynamics is developed that exploits the net pseudomomentum to distinguish TCI from the other two instabilities for any given flow profile. Second, the nonlinear dynamics of TCI is studied across its range of unstable horizontal wavenumbers and bulk Richardson numbers using numerical simulation. At small bulk Richardson numbers, a cascade of billow structures of sequentially smaller size may form. For large bulk Richardson numbers, the primary nonlinear travelling waves formed by the linear instability break down via a small-scale, Kelvin–Helmholtz-like roll-up mechanism with an associated large amount of mixing. In all cases, secondary parasitic nonlinear Holmboe waves appear at late times for high Prandtl number. Third, a nonlinear diagnostic is proposed to distinguish between the saturated states of the three canonical instabilities based on their distinctive density–streamfunction and generalised vorticity–streamfunction relations.

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31

PEYRET, N., J. L. DION, G. CHEVALLIER, and P. ARGOUL. "MICRO-SLIP INDUCED DAMPING IN PLANAR CONTACT UNDER CONSTANT AND UNIFORM NORMAL STRESS." International Journal of Applied Mechanics 02, no. 02 (June 2010): 281–304. http://dx.doi.org/10.1142/s1758825110000597.

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The friction between interfaces at bolted joints plays a major role in the damping of structures. This paper deals with the energy losses caused by micro-slips in the joints. The aim of this study is to define in an analytical way these energy dissipation mechanisms which we examine through the analysis of a new benchmark: the flexural vibration of a clamped-clamped beam with original positioning of the interfaces. The joints exhibit the behavior of an interface under constant and uniform normal stress. The stress and strain values are computed at the joints under the assumption of quasi-static motion. This model allows us to understand the evolution of the slip and stick regions along the joint interfaces during the loading process. The expressions of the strain and stress fields during each phase of the loading process are derived. These lead to the quantification of the dissipated energy within the interface. Using this formula, a nonlinear loss factor can then be computed. In the final part of the paper, the dynamic response of the beam is calculated using this nonlinear loss factor.

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32

Hamid, Tariq B., and Gerald A. Miller. "Shear strength of unsaturated soil interfaces." Canadian Geotechnical Journal 46, no. 5 (May 2009): 595–606. http://dx.doi.org/10.1139/t09-002.

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Unsaturated soil interfaces exist where unsaturated soil is in contact with structures such as foundations, retaining walls, and buried pipes. The unsaturated soil interface can be defined as a layer of unsaturated soil through which stresses are transferred from soil to structure and vice versa. In this paper, the shearing behavior of unsaturated soil interfaces is examined using results of interface direct shear tests conducted on a low-plasticity fine-grained soil. A conventional direct shear test device was modified to conduct direct shear interface tests using matric suction control. Further, the results were used to define failure envelopes for unsaturated soil interfaces having smooth and rough counterfaces. Results of this study indicate that matric suction contributes to the peak shear strength of unsaturated interfaces; however, postpeak shear strength did not appear to vary with changes in matric suction. Variations in net normal stress affected both peak and postpeak shear strength. Failure envelopes developed using the soil-water characteristic curve (SWCC) appeared to capture the nonlinear influence of matric suction on shear strength of soil and interfaces.

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33

Li, Zhiyuan, Lifeng Wang, Junfeng Wu, and Wenhua Ye. "Interface coupling effects of weakly nonlinear Rayleigh–Taylor instability with double interfaces." Chinese Physics B 29, no. 3 (March 2020): 034704. http://dx.doi.org/10.1088/1674-1056/ab6965.

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34

Ren, Shang-Fen, and Jason Stanfield. "Interface Phonon Modes in Strained Semiconductor Superlattices." International Journal of Modern Physics B 12, no. 29n31 (December 20, 1998): 3137–40. http://dx.doi.org/10.1142/s0217979298002222.

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Phonon modes in strained ZnTe/CdSe superlattices are studied. The macroscopic interface modes and two different types of microscopic interface modes are identified. Interface phonon modes in (ZnTe)8(CdSe)8 superlattice with interchange of atomic layers across interfaces are calculated and compared with the results of superlattice with ideal interfaces.

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35

Wu, Haimin, Yiming Shu, Linjun Dai, and Zhaoming Teng. "Mechanical Behavior of Interface between Composite Geomembrane and Permeable Cushion Material." Advances in Materials Science and Engineering 2014 (2014): 1–9. http://dx.doi.org/10.1155/2014/184359.

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An accurate description of composite geomembrane-cushion interface behavior is of great importance for stress-deformation analysis and stability assessment of geomembrane surface barrier of rock-fill dam. A series of direct shear tests were conducted to investigate the friction behaviors of interfaces between composite geomembrane and two different permeable cushion materials (crushed stones and polyurethane mixed crushed stones). The shear stress-displacement relationships of the two interfaces show different characteristics and were described by the nonlinear-elastic model and nonlinear-elastic perfectly plastic model, respectively. Then the two models were implemented into the Fast Lagrangian Analysis of Continua in Three Dimensions (FLAC3D) procedure correctly. By verification of a numerical example, numerical calculation results showed a good agreement with the theoretical solutions and test results.

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36

Do, Duc Phi, and Dashnor Hoxha. "Temperature and Pressure Dependence of the Effective Thermal Conductivity of Geomaterials: Numerical Investigation by the Immersed Interface Method." Journal of Applied Mathematics 2013 (2013): 1–13. http://dx.doi.org/10.1155/2013/456931.

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The present work aims to study the nonlinear effective thermal conductivity of heterogeneous composite-like geomaterials by using a numerical approach based on the immersed interface method (IIM). This method is particularly efficient at solving the diffusion problem in domains containing inner boundaries in the form of perfect or imperfect interfaces between constituents. In this paper, this numerical procedure is extended in the framework of non linear behavior of constituents and interfaces. The performance of the developed tool is then demonstrated through the studies of temperature- and pressure-dependent effective thermal conductivity of geomaterials with imperfect interfaces.

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37

Hamid Sharif, Nahidh, and Nils‐Erik Wiberg. "Interface‐capturing finite element technique for transient two‐phase flow." Engineering Computations 20, no. 5/6 (August 1, 2003): 725–40. http://dx.doi.org/10.1108/02644400310488835.

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A numerical model is presented for the computation of unsteady two‐fluid interfaces in nonlinear porous media flow. The nonlinear Forchheimer equation is included in the Navier‐Stokes equations for porous media flow. The model is based on capturing the interface on a fixed mesh domain. The zero level set of a pseudo‐concentration function, which defines the interface between the two fluids, is governed by a time‐dependent advection equation. The time‐dependent Navier‐Stokes equations and the advection equation are spatially discretized by the finite element (FE) method. The fully coupled implicit time integration scheme and the explicit forward Eulerian scheme are implemented for the advancement in time. The trapezoidal rule is applied to the fully implicit scheme, while the operator‐splitting algorithm is used for the velocity‐pressure segregation in the explicit scheme. The spatial and time discretizations are stabilized using FE stabilization techniques. Numerical examples of unsteady flow of two‐fluid interfaces in an earth dam are investigated.

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38

Morizet, Josephine, Giovanni Sartorello, Nicolas Dray, Chiara Stringari, Emmanuel Beaurepaire, and Nicolas Olivier. "Modeling nonlinear microscopy near index-mismatched interfaces." Optica 8, no. 7 (June 22, 2021): 944. http://dx.doi.org/10.1364/optica.421257.

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39

Ghosh, Anjan K. "Binary vector multiplications with nonlinear optical interfaces." Applied Optics 26, no. 16 (August 15, 1987): 3195. http://dx.doi.org/10.1364/ao.26.003195.

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40

AlGarni, Sabah E., and A. F. Qasrawi. "Nonlinear optical performance of CdO/InSe Interfaces." Physica Scripta 95, no. 6 (March 17, 2020): 065801. http://dx.doi.org/10.1088/1402-4896/ab7c78.

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41

Meyer, C. "Nonlinear optical spectroscopy of Si–heterostructure interfaces." Journal of Vacuum Science & Technology B: Microelectronics and Nanometer Structures 14, no. 4 (July 1996): 3107. http://dx.doi.org/10.1116/1.589071.

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42

Kawashima, Koichiro, Morimasa Murase, Ryuzo Yamada, Masamichi Matsushima, Mituyoshi Uematsu, and Fumio Fujita. "Nonlinear ultrasonic imaging of imperfectly bonded interfaces." Ultrasonics 44 (December 2006): e1329-e1333. http://dx.doi.org/10.1016/j.ultras.2006.05.011.

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43

Shah, Santosh G., and J. M. Chandra Kishen. "Nonlinear fracture properties of concrete–concrete interfaces." Mechanics of Materials 42, no. 10 (October 2010): 916–31. http://dx.doi.org/10.1016/j.mechmat.2010.08.002.

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Rasing, T. "Nonlinear magneto-optical probing of magnetic interfaces." Applied Physics B: Lasers and Optics 68, no. 3 (March 1, 1999): 477–84. http://dx.doi.org/10.1007/s003400050652.

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McAdams, E. T., and J. Jossinet. "Nonlinear transient response of electrode—electrolyte interfaces." Medical & Biological Engineering & Computing 38, no. 4 (July 2000): 427–32. http://dx.doi.org/10.1007/bf02345012.

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46

Tomer, L., J. P. Torres, F. Lederer, D. Mihalache, D. M. Baboiu, and M. Ciumac. "Nonlinear hybrid waves guided by birefringent interfaces." Electronics Letters 29, no. 13 (1993): 1186. http://dx.doi.org/10.1049/el:19930793.

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47

Sánchez-Curto, Julio, Pedro Chamorro-Posada, and Graham S. McDonald. "Nonlinear interfaces: intrinsically nonparaxial regimes and effects." Journal of Optics A: Pure and Applied Optics 11, no. 5 (March 18, 2009): 054015. http://dx.doi.org/10.1088/1464-4258/11/5/054015.

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McGilp, John F. "Probing semiconductor interfaces using nonlinear optical spectroscopy." Optical Engineering 33, no. 12 (December 1, 1994): 3895. http://dx.doi.org/10.1117/12.186373.

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Hohlfeld, Julius, and Theo Rasing. "Special Issue: Nonlinear Optics at Interfaces (NOPTI)." Applied Physics B 74, no. 7-8 (March 19, 2002): 615. http://dx.doi.org/10.1007/s00340-002-0943-3.

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Sagis, Leonard M. C., and Peter Fischer. "Nonlinear rheology of complex fluid–fluid interfaces." Current Opinion in Colloid & Interface Science 19, no. 6 (December 2014): 520–29. http://dx.doi.org/10.1016/j.cocis.2014.09.003.

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