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Journal articles on the topic 'Elastic ribbons'

Author: Grafiati

Published: 6 September 2023

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1

Zhao, Y. H., and G. J. Weng. "Effective Elastic Moduli of Ribbon-Reinforced Composites." Journal of Applied Mechanics 57, no. 1 (March 1, 1990): 158–67. http://dx.doi.org/10.1115/1.2888297.

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Based on the Eshelby-Mori-Tanaka theory the nine effective elastic constants of an orthotropic composite reinforced with monotonically aligned elliptic cylinders, and the five elastic moduli of a transversely isotropic composite reinforced with two-dimensional randomly-oriented elliptic cylinders, are derived. These moduli are given in terms of the cross-sectional aspect ratio and the volume fraction of the elliptic cylinders. When the aspect ratio approaches zero, the elliptic cylinders exist as thin ribbons, and these moduli are given in very simple, explicit forms as a function of volume fraction. It turns out that, in the transversely isotropic case, the effective elastic moduli of the composite coincide with Hill’s and Hashin’s upper bounds if ribbons are harder than the matrix, and coincide with their lower bounds if ribbons are softer. These results are in direct contrast to those of circular fibers. Since the width of the Hill-Hashin bounds can be very wide when the constituents have high modular ratios, this analysis suggests that the ribbon reinforcement is far more effective than the traditional fiber reinforcement.

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2

Knight, D. P., and F. Vollrath. "Spinning an elastic ribbon of spider silk." Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences 357, no. 1418 (February 28, 2002): 219–27. http://dx.doi.org/10.1098/rstb.2001.1026.

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The Sicarid spider Loxosceles laeta spins broad but very thin ribbons of elastic silk that it uses to form a retreat and to capture prey. A structural investigation into this spider's silk and spinning apparatus shows that these ribbons are spun from a gland homologous to the major ampullate gland of orb web spiders. The Loxosceles gland is constructed from the same basic parts (separate transverse zones in the gland, a duct and spigot) as other spider silk glands but construction details are highly specialized. These differences are thought to relate to different ways of spinning silk in the two groups of spiders. Loxosceles uses conventional die extrusion, feeding a liquid dope (spinning solution) to the slit–like die to form a flat ribbon, while orb web spiders use an extrusion process in which the silk dope is processed in an elongated duct to produce a cylindrical thread. This is achieved by the combination of an initial internal draw down, well inside the duct, and a final draw down, after the silk has left the spigot. The spinning mechanism in Loxosceles may be more ancestral.

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3

Aoki, Michio, and Jia-Yang Juang. "Forming three-dimensional closed shapes from two-dimensional soft ribbons by controlled buckling." Royal Society Open Science 5, no. 2 (February 2018): 171962. http://dx.doi.org/10.1098/rsos.171962.

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Conventional manufacturing techniques—moulding, machining and casting—exist to produce three-dimensional (3D) shapes. However, these industrial processes are typically geared for mass production and are not directly applicable to residential settings, where inexpensive and versatile tools are desirable. Moreover, those techniques are, in general, not adequate to process soft elastic materials. Here, we introduce a new concept of forming 3D closed hollow shapes from two-dimensional (2D) elastic ribbons by controlled buckling. We numerically and experimentally characterize how the profile and thickness of the ribbon determine its buckled shape. We find a 2D master profile with which various elliptical 3D shapes can be formed. More complex natural and artificial hollow shapes, such as strawberry, hourglass and wheel, can also be achieved via strategic design and pattern engraving on the ribbons. The nonlinear response of the post-buckling regime is rationalized through finite-element analysis, which shows good quantitative agreement with experiments. This robust fabrication should complement conventional techniques and provide a rich arena for future studies on the mechanics and new applications of elastic hollow structures.

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4

Bartels, Sören. "Numerical Simulation of Inextensible Elastic Ribbons." SIAM Journal on Numerical Analysis 58, no. 6 (January 2020): 3332–54. http://dx.doi.org/10.1137/20m1357494.

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5

Du, Zhi Wei, Z. M. Sun, B. L. Shao, and A. S. Liu. "Study on the Microstructure and Deformation Behavior of Ultrafine-Crystalline Cu-Y Ribbons." Materials Science Forum 610-613 (January 2009): 591–97. http://dx.doi.org/10.4028/www.scientific.net/msf.610-613.591.

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Cu99.8Y0.2, Cu99.2Y0.8 and Cu98Y2 alloy ribbons were prepared by single roller melt spinning. The microstructure was studied by X-ray diffraction (XRD), transmission electron microscopy (TEM), high voltage electron microscope (HVEM) and high resolution electron microscopy (HREM). The results showed that α-Cu was the dominative phase in the rapid solidification ribbons of three alloys. A secondary phase Cu4Y was detected in the Cu98Y2 ribbon by XRD. The grain size was in a range of 50-200 nm in the Cu99.2Y0.8 and Cu98Y2 ribbons. Many nano-scale twins and some dislocations existed inside the larger grains. However, the grains in Cu99.8Y0.2 ribbon were in the size of microns and the sub-grains with small misorentations were in 100-200 nm. To understand the deformation mechanism, in situ tensile test were carried out at a High Voltage Electron Microscope (HVEM). The results showed that the deformation is predominated by the dislocation slip in larger grains. To accommodate the deformation, elastic deformation occured in the small grains in the initial stage of the deformation. Meanwhile, some small grains maybe deform by grain rotations. With strain increasing, some fractures generated and propagated along the grain boundaries or across the grains.

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6

Hou, Junli, Zhong Yang, Hongbo Duan, Yiyi Feng, Yongchun Guo, and Jianping Li. "Microstructure and Nanoindentation Behavior of Ti40Zr40Ni20 Quasicrystal Alloy by Casting and Rapid Solidification." Metals 11, no. 10 (September 30, 2021): 1563. http://dx.doi.org/10.3390/met11101563.

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A Ti40Zr40Ni20 quasicrystal (QCs) rod and ribbons were prepared by conventional casting and rapid solidification. The X-ray diffractometry (XRD), scanning electron microscopy (SEM), transmission electron microscopy (TEM) and differential scanning calorimeter (DSC) techniques were used to investigate the microtissue, phase composition, and solidification features of the samples; the nano-indentation test was carried out at room temperature. The results show that a mixture of the α-Ti(Zr) phase and the icosahedral quasicrystal (I-phase) was formed in the Ti40Zr40Ni20 rod; the microstructure of Ti40Zr40Ni20 ribbons mainly consisted of the I-phase. The solidification mechanism of the I-phase was different in the two alloys. The I-phase in the quasicrystalline rod was formed by packet reaction while in the ribbons it was generated directly from the liquid. At room temperature, both samples had relatively high hardness and elastic modulus; the elastic modulus of the ribbons is 76 GPa, higher than the 45 GPa of the rod. The hardness of the ribbons was more than twice that of the rod.

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7

Semirov, Alexander V., Michael S. Derevyanko, Dmitriy A. Bukreev, Alexey A. Moiseev, and Galina V. Kurlyandskaya. "Magnetoimpedance of Amorphous Ferromagnetic CoFeSiB Ribbons in the Wide Temperature Range." Solid State Phenomena 215 (April 2014): 337–41. http://dx.doi.org/10.4028/www.scientific.net/ssp.215.337.

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The influence of the temperature, elastic tensile stresses and external magnetic field on the impedance of amorphous Co75Fe5Si4B16 ribbons was studied. It was observed that the character of the elastic tensile stresses influences the impedance and its changes in the external magnetic field are determined by a temperature of the ribbons. It was shown that changes of the stressimpedance character and magnetoimpedance temperature dependences were caused by a change in the sign of a magnetostriction constant with the temperature.

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8

Freddi, Lorenzo, Peter Hornung, Maria Giovanna Mora, and Roberto Paroni. "One-dimensional von Kármán models for elastic ribbons." Meccanica 53, no. 3 (April 3, 2017): 659–70. http://dx.doi.org/10.1007/s11012-017-0666-5.

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9

Freddi, Lorenzo, Peter Hornung, Maria Giovanna Mora, and Roberto Paroni. "A Corrected Sadowsky Functional for Inextensible Elastic Ribbons." Journal of Elasticity 123, no. 2 (October 13, 2015): 125–36. http://dx.doi.org/10.1007/s10659-015-9551-4.

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10

Paroni, Roberto, and Giuseppe Tomassetti. "Macroscopic and Microscopic Behavior of Narrow Elastic Ribbons." Journal of Elasticity 135, no. 1-2 (December 12, 2018): 409–33. http://dx.doi.org/10.1007/s10659-018-09712-w.

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11

Seo, Hui-Chan, Ivan Petrov, Hyejin Jeong, Patrick Chapman, and Kyekyoon Kim. "Elastic buckling of AlN ribbons on elastomeric substrate." Applied Physics Letters 94, no. 9 (March 2, 2009): 092104. http://dx.doi.org/10.1063/1.3081632.

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12

Morozov, Evgeny, Dmitry Kuznetsov, Vladimir Kalashnikov, Koledov Victor, and Vladimir Shavrov. "Thermoelastic Properties and Elastocaloric Effect in Rapidly Quenched Ribbons of Ti2NiCu Alloy in the Amorphous and Crystalline State." Crystals 11, no. 8 (August 15, 2021): 949. http://dx.doi.org/10.3390/cryst11080949.

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The thermoelastic properties and the elastocaloric effect (ECE) were studied in rapidly quenched ribbons of the Ti2NiCu alloy samples in amorphous and crystalline states under periodic mechanical tension with a frequency of up to 50 Hz. In the amorphous samples, elastic behavior is observed, described by Hooke’s law, with a high coefficient of thermal expansion α = 1.7 × 10−4 K−1. Polycrystalline ribbons of the Ti2NiCu alloy have the classical shape memory effect (SME), the temperatures of the forward and reverse thermoelastic martensitic transitions being Ms = 345 K, Mf = 325 K, As = 332 K, and Af = 347 K and the coefficient of the dependence of the transition temperature on mechanical stress being β = 0.12 K/MPa. The experimentally measured value of the adiabatic temperature change under the action of mechanical stress (ECE) in the amorphous state of the alloy at room temperature (Tr = 300 K) was ΔT = −2 K, with a relative elongation of ε = 1.5% and a mechanical stress of σ = 243 MPa. For crystalline samples of Ti2NiCu alloy ribbons, the ECE is maximum near the completion temperature of the reverse thermoelastic martensitic transformation Af, and its value was 21 K and 7 K under cyclic mechanical loads of 300 and 100 MPa, respectively. It is shown that the ECE value does not depend on the frequency of external action in the range from 0 to 50 Hz. The specific power of the rapidly quenched ribbon was evaluated as a converter of thermal energy at an external mechanical stress of 100 MPa; its value was 175 W/g at a frequency of 50 Hz. The thermodynamic model based on the Landau theory of phase transitions well explains the properties of both amorphous ribbons (reverse ECE) and alloy ribbons with EPF (direct ECE).

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13

Zhang, Shuling, Zhiying Gan, Weiye Chen, and Dawei Zhao. "Low Frequency Giant Magneto-Impedance Effect of Co-Rich Ribbons Induced by Joule Annealing Treatment." Metals 13, no. 1 (December 22, 2022): 28. http://dx.doi.org/10.3390/met13010028.

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The giant magneto-impedance (GMI) effect of Co83.2Fe5.2Si8.8B2.8 ribbons at frequencies of <1 MHz was analyzed. To improve the GMI response, a Joule annealing treatment was conducted with a direct current, and the domain structure of the ribbon surface was investigated via magneto-optical Kerr effect microscopy. The annealed ribbons show larger impedance changes under external magnetic fields, and higher field sensitivity is obtained by certain current annealing treatments. The field sensitivity of 418 and 782%/(kA/m) at 0.2 MHz and 0.8 MHz are achieved after annealing at 0.8 A for 20 min. The annealing treatment under direct electric current induces stress relaxation, and domain rearrangement, and the crystallization process gradually increases with the increasing current density, which gives rise to anisotropic reformation. The release of stresses due to Joule heating below the crystallization temperature causes the homogenous distribution of stress induced by rapid solidification and influences the elastic anisotropy, causing the domain structures to become much more regular. The crystallization, along with the precipitation of hard magnetic phases, increases the crystal anisotropy and induces the intense magnetic coupling action. Consequently, the magnetic domains in the annealed ribbons are rearranged with reformed anisotropy by Joule annealing heat and by the transverse magnetic field induced by the current. The irregular domains, with complex anisotropy in the as-cast ribbons corresponding to the weak GMI response, are transformed into regular and strip-like domains, with transverse easy magnetization after annealing at 0.4 A. After annealing at 0.8 A, the domains are further transformed into fine axial fingerprint-like domains, which are much more sensitive to the change in the axial external magnetic field, allowing for the best GMI response. These results indicate that the Joule annealing treatment is an optional method to optimize the soft magnetic properties and the GMI effect of these Co-rich ribbons at low frequencies.

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14

Nam, Tae-hyun, Cheol-am Yu, Jung-min Nam, Hyun-gon Kim, and Yeon-wook Kim. "Shape Memory Characteristics and Superelasticity of Ti-Ni-Cu Alloy Ribbons with Nano Ti2Ni Particles." Journal of Nanoscience and Nanotechnology 8, no. 2 (February 1, 2008): 722–27. http://dx.doi.org/10.1166/jnn.2008.d260.

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Microstructures and deformation behaviour of Ti-45Ni-5Cu and Ti-46Ni-5Cu alloy ribbons prepared by melt spinning were investigated by transmission electron microscopy, thermal cycling tests under constant load and tensile tests. Spherical Ti2Ni particles coherent with the B2 parent phase were observed in the alloy ribbons when the melt spinning temperature was higher than 1773 K. Average size of Ti2Ni particles in the ribbons obtained at 1873 K was 8 nm, which was smaller than that (10 nm) in the ribbons obtained at 1773 K. Volume fraction of Ti2Ni phase in the ribbons obtained at 1873 K was 40%, which was larger than that (20%) in the ribbons obtained at 1773 K. The stress required at temperatures of Af + 10 K for the stress-induced martensitic transformation increased from 93 MPa to 229 MPa and apparent elastic modulus of the B2 parent phase increased from 56 GPa to 250 GPa with increasing the melt spinning temperature from 1673 K to 1873 K in Ti-45Ni-5Cu alloy ribbons. The critical stress for slip deformation of the ribbons increased by coherent Ti2Ni particles, and thus residual elongation did not occur even at 160 MPa, while considerable plastic deformation occurred at 60 MPa in the ribbons without Ti2Ni particles. Almost perfect superelastic recovery was found in the ribbons with coherent Ti2Ni particles, while only partial superelastic recovery was observed in the ribbons without coherent Ti2Ni particles.

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15

Jena, Subrat Kumar, and S. Chakraverty. "Dynamic Analysis of Single-Layered Graphene Nano-Ribbons (SLGNRs) with Variable Cross-Section Resting on Elastic Foundation." Curved and Layered Structures 6, no. 1 (January 1, 2019): 132–45. http://dx.doi.org/10.1515/cls-2019-0011.

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AbstractThis article deals with free vibration of the variable cross-section (non-uniform) single-layered graphene nano-ribbons (SLGNRs) resting on Winkler elastic foundation using the Differential Quadrature Method (DQM). Here characteristic width of the cross-section is varied exponentially along the length of the nano-ribbon while the thickness of the cross section is kept constant. Euler–Bernoulli beam theory in conjunction with Eringen nonlocal elasticity theory is considered in this study. The numerical as well as graphical results are reported by using MATLAB codes developed by authors. Convergence of present method is explored and our results are compared with known results available in literature showing excellent agreement. Further, effects various parameters on frequency parameters are studied comprehensively.

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16

Huang, Chun Ying, Man Hua Wan, and Xiao Jun Wang. "FeSiB Annealing Technology Based on Amorphous Ribbons of the Linear Expansion Coefficient." Key Engineering Materials 428-429 (January 2010): 537–39. http://dx.doi.org/10.4028/www.scientific.net/kem.428-429.537.

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The 4.5mm wide 25μm thick Fe78Si9B13 amorphous alloys were prepared by single-roller method, and it was annealed. The elastic modulus, tensile deformation and line expansion coefficient were investigated by Q800 (dynamic mechanical thermal analyses, DMA). The results showed that the elastic modulus, tensile deformation and line expansion coefficient were enhanced when annealed. Comparing with the annealed ribbons, the change rules of elastic modulus, tensile deformation and line expansion coefficient of the quenched are evident, that the elastic modulus decreases and tensile deformation increase with temperature increases, but line expansion coefficient firstly increase then decrease with temperature increases.

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17

Schmidt, S., and C. A. Grimes. "Elastic modulus measurement of thin films coated onto magnetoelastic ribbons." IEEE Transactions on Magnetics 37, no. 4 (July 2001): 2731–33. http://dx.doi.org/10.1109/20.951289.

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18

Kumar, Arun, Poornakanta Handral, C. S. Darshan Bhandari, Anindya Karmakar, and Ramsharan Rangarajan. "An investigation of models for elastic ribbons: Simulations & experiments." Journal of the Mechanics and Physics of Solids 143 (October 2020): 104070. http://dx.doi.org/10.1016/j.jmps.2020.104070.

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19

Charrondière, Raphaël, Florence Bertails-Descoubes, Sébastien Neukirch, and Victor Romero. "Numerical modeling of inextensible elastic ribbons with curvature-based elements." Computer Methods in Applied Mechanics and Engineering 364 (June 2020): 112922. http://dx.doi.org/10.1016/j.cma.2020.112922.

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20

Maksymowicz, A. Z. "Coupling of elastic and magnetic longitudinal modes in amorphous ribbons." International Journal of Engineering Science 29, no. 3 (January 1991): 363–65. http://dx.doi.org/10.1016/0020-7225(91)90155-v.

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21

Zheng, J. Y., X. D. Wu, Y. J. Chen, G. D. Deng, Q. M. Li, and G. Y. Sun. "Dynamic thermo-elastic response of a discrete multi-layered cylindrical shell subjected to transient thermal loading." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 222, no. 4 (April 1, 2008): 549–61. http://dx.doi.org/10.1243/09544062jmes535.

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Explosion containment vessels (ECVs) are used to fully contain the effects of explosion events. A discrete multi-layered cylindrical shell (DMC) consisting of a thin inner cylindrical shell and helically cross-winding flat steel ribbons has been proposed, which has obvious advantages of fabrication convenience and low costs. The applications of ECVs are closely associated with blast and thermal loads, and thus, it is important to understand the response of a DMC under transient thermal load in order to develop a design code and operation procedures for the use of DMC as ECV. In this paper, a mathematical model for the elastic response of a DMC subjected to thermal loading due to rapid heating is proposed. Based on the axisymmetric plane strain assumption, the displacement solution of the dynamic equilibrium equations of both inner shell and outer ribbon layer are decomposed into two parts, i.e. a thermo-elastic part satisfying inhomogeneous stress boundary conditions and a dynamic part for homogeneous stress boundary conditions. The thermo-elastic part is solved by a linear method and the dynamic part is determined by means of finite Hankel transform and Laplace transform. The thermo-elastic solution of a DMC is compared with the solution of a monobloc cylindrical shell, and numerical results are presented and discussed in terms of winding angle and material parameters.

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22

Huang, Lanping, Xuzhe Hu, TaoTao Guo, and Song Li. "Investigation of Mechanical Properties and Plastic Deformation Behavior of (Ti45Cu40Zr10Ni5)100−xAlxMetallic Glasses by Nanoindentation." Advances in Materials Science and Engineering 2014 (2014): 1–5. http://dx.doi.org/10.1155/2014/215093.

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The effect of Al addition on mechanical properties and plastic deformation behavior of (Ti45Cu40Zr10Ni5)100−xAlx(x= 0, 2, 4, 6 and 8) amorphous alloy ribbons have been investigated by nanoindentation. The hardness and elastic modulus do not simply increase with the increase of Al content. The alloy with 8 at.% Al exhibits the highest hardness and elastic modulus. The serrations or pop-in events are strongly dependent on the loading rate and alloy composition.

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23

Kieu, Xuan Hau, Hai Yen Nguyen, Huy Ngoc Nguyen, Viet Anh Truong, Thi Thanh Pham, Van Toan Nguyen, Dang Thanh Tran, and Huy Dan Nguyen. "Investigation of structure and properties of melt-spun NiTi based shape memory alloys." Vietnam Journal of Science and Technology 60, no. 6 (December 30, 2022): 1023–31. http://dx.doi.org/10.15625/2525-2518/16387.

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In this work, we investigated the structure, mechanical properties and corrosion resistance of Ti50Ni50 and Ti16.667Zr16.667A16.667Ni25Cu25 (A = Hf, Nb, Co, Cr and Ga) shape memory alloys (SMAs) fabricated by using melt-spinning method. X-ray diffraction (XRD) and scanning electron microscopy (SEM) analyses reveal that the alloy ribbons are partially crystallized with B19' martensitic structure in the added alloys. The crystalline phase formation and the atomic size difference (δ = 4.33 - 10.25%) significantly affect the hardness, tensile strength, tensile strain, elastic modulus and corrosion resistance of the alloys. The hardness of the alloy gradually increases from 583 HV to 873 HV when adding elements in the order of Hf, Nb, Co, Cr and Ga. Tensile strength, tensile strain and elastic modulus simultaneously reach their maximum of 669.2 MPa, 0.899% and 28.82 GPa, respectively, when Hf is added to the alloy. Ga enhances the corrosion resistance of the alloy ribbons more than other additional elements.

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24

Lichtenberg, Klaudia, and Kay André Weidenmann. "Mechanical Properties of AlSi12-Based Metal Matrix Composites with Layered Metallic Glass Ribbons." Key Engineering Materials 742 (July 2017): 181–88. http://dx.doi.org/10.4028/www.scientific.net/kem.742.181.

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During the last years, several studies proved the high potential of metallic glasses to be used as reinforcements in lightweight alloys. Thereby, focus was mostly on particle reinforced composites or three-dimensional and omnidirectional glass arrays within the composite. Using a specific layered structure of the entire ribbons as reinforcement to design direction-dependent tailored properties is a novel approach. The composites in this study were produced by gas pressure infiltration of a layered stack of metallic glass ribbons. Ribbons of the metallic glass Ni60Nb20Ta20 were used as reinforcements and aluminum alloy AlSi12 as matrix. Mechanical tests like four point bending and tensile tests as well as elastic analysis using ultrasound phase spectroscopy (UPS) were performed to classify composite’s properties. Further, micro computed tomography (µCT) analysis and metallographic investigations were carried out on the four point bending samples after testing to reveal occurring damage mechanisms.

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25

Zhang, Xu, Yu Sun, Bin Yan, and Xin Zhuang. "Correlation of Magnetomechanical Coupling and Damping in Fe80Si9B11 Metallic Glass Ribbons." Materials 16, no. 14 (July 14, 2023): 4990. http://dx.doi.org/10.3390/ma16144990.

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Understanding the correlation between magnetomechanical coupling factors (k) and damping factors (Q−1) is a key pathway toward enhancing the magnetomechanical power conversion efficiency in laminated magnetoelectric (ME) composites by manipulating the magnetic and mechanical properties of Fe-based amorphous metals through engineering. The k and Q−1 factors of FeSiB amorphous ribbons annealed in air at different temperatures are investigated. It is found that k and Q−1 factors are affected by both magnetic and elastic properties. The magnetic and elastic properties are characterized in terms of the magnetomechanical power efficiency for low-temperature annealing. The k and Q−1 of FeSiB-based epoxied laminates with different stacking numbers show that a −3 dB bandwidth and Young’s modulus are expressed in terms of the magnetomechanical power efficiency for high lamination stacking.

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26

Kumar, Arun, Poornakanta Handral, Darshan Bhandari, and Ramsharan Rangarajan. "More views of a one-sided surface: mechanical models and stereo vision techniques for Möbius strips." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 477, no. 2250 (June 2021): 20210076. http://dx.doi.org/10.1098/rspa.2021.0076.

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Möbius strips are prototypical examples of ribbon-like structures. Inspecting their shapes and features provides useful insights into the rich mechanics of elastic ribbons. Despite their ubiquity and ease of construction, quantitative experimental measurements of the three-dimensional shapes of Möbius strips are surprisingly non-existent in the literature. We propose two novel stereo vision-based techniques to this end—a marker-based technique that determines a Lagrangian description for the construction of a Möbius strip, and a structured light illumination technique that furnishes an Eulerian description of its shape. Our measurements enable a critical evaluation of the predictive capabilities of mechanical theories proposed to model Möbius strips. We experimentally validate, seemingly for the first time, the developable strip and the Cosserat plate theories for predicting shapes of Möbius strips. Equally significantly, we confirm unambiguous deficiencies in modelling Möbius strips as Kirchhoff rods with slender cross-sections. The experimental techniques proposed and the Cosserat plate model promise to be useful tools for investigating a general class of problems in ribbon mechanics.

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27

Hrabovská, Kamila, Ondřej Životský, Jaroslav Rojíček, Martin Fusek, Vratislav Mareš, and Yvonna Jirásková. "Surface Magnetostriction of FeCoB Amorphous Ribbons Analyzed Using Magneto-Optical Kerr Microscopy." Materials 13, no. 2 (January 7, 2020): 257. http://dx.doi.org/10.3390/ma13020257.

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Surface sensitive magneto-optical Kerr microscopy completed with the special self-made sample holder is used for studying the magneto-elastic behaviour in the surface of the as-quenched amorphous Fe73Co12B15 alloy. The 10, 5, and 3 mm wide and approximately 34 μm thick ribbons were prepared by the conventional planar flow casting process. The experimental setup allows for a simultaneous application of an external magnetic field in the directions parallel and perpendicular to the ribbon axis and of compression stress from one side of the sample, resulting in tensile stress in opposite side. The distributions of tensile stresses in the measured surface were modelled by the finite element method. The observed changes of the magnetic domains and hysteresis loop anisotropy field under applied stress are evaluated using the Becker–Kersten method. This resulted in the determination of the local surface magnetostrictive coefficient from an area of about 200 μm in diameter. The obtained values ranged between 37–60 ppm and were well comparable with the bulk value presented in the literature.

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28

Herzer, Giselher. "Effect of domain size on the magneto-elastic damping in amorphous ferromagnetic metals." International Journal of Materials Research 93, no. 10 (October 1, 2002): 978–82. http://dx.doi.org/10.1515/ijmr-2002-0170.

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Abstract We show that the damping of longitudinal mechanical oscillations in soft magnetic amorphous ribbons can be significantly reduced by domain refinement. The latter is realized by an out-of-plane anisotropy induced by magnetic field annealing. The phenomena is interpreted in terms of micro eddy currents associated with the magnetization process within a domain.

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29

Bodaghi, M., M. Shakeri, and MM Aghdam. "Passive vibration control of plate structures using shape memory alloy ribbons." Journal of Vibration and Control 23, no. 1 (August 9, 2016): 69–88. http://dx.doi.org/10.1177/1077546315575676.

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Problems associated with the modeling and vibration control of rectangular plates under dynamic loads with integrated polycrystalline NiTi shape memory alloy (SMA) ribbons are developed. In order to simulate the thermo-mechanical behavior of SMA ribbons under dominant axial and transverse shear stresses, a robust macroscopic constitutive model is introduced. The model is able to accurately predict martensite transformation/orientation, shape memory effect, pseudo-elasticity and in particular reorientation of martensite variants and ferro-elasticity features. The structural model is based on the adoption of the first-order shear deformation theory and on the geometrical non-linearity in the von Kármán sense. Towards obtaining the governing equations of motion, the Hamilton principle is used. Finite element and Newmark methods along with an iterative incremental process based on the elastic-predictor inelastic-corrector return mapping algorithm are implemented to solve the non-linear governing equations in spatial and time domains. Numerical simulations highlighting the implications of pre-strain state and temperature of the SMA ribbons, as well as those related to the respective dynamic loads, are presented and discussed in detail. It is found that the modeling of ferro-elasticity in the dynamic analysis of SMA composite structures could lead to significant conclusions concerning the passive vibration control capability of low-temperature SMA ribbons.

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30

Sayed, Rizk El, Mustafa Kamal, Abu-Bakr El-Bediwi, and Qutaiba Rasheed Solaiman. "An analysis of the transport properties and mechanical stability of rapidly solidified Al-Sb alloy." JOURNAL OF ADVANCES IN PHYSICS 10, no. 2 (August 30, 2015): 2663–81. http://dx.doi.org/10.24297/jap.v10i2.1336.

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The structure of a series of AlSb alloys prepared by melt spinning have been studied in the as meltâ€“spun ribbons Â as a function of antimony content .The stabilityÂ of these structures hasÂ beenÂ related to that of the transport and mechanical properties of the alloy ribbons. Microstructural analysis was performed and it was found that only Al and AlSb phases formed for different composition. Â The electrical, thermal and the stability of the mechanical properties are related indirectly through the influence of the antimony content. The results are interpreted in terms of the phase change occurring to alloy system. Electrical resistivity, thermal conductivity, elastic moduli and the values of microhardness are found to be more sensitive than the internal friction to the phase changes.Â

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31

Liu, Lu, Chunxiang Cui, Hongtao Geng, Yingguang Liang, Sen Cui, Shichang Lei, and Shuo Zhang. "Refining and reinforcing effects of TiC-Al₂O₃/Al ribbons inoculant on Al–Si–Mg–Ti alloy." Materials Research Express 9, no. 3 (March 1, 2022): 036516. http://dx.doi.org/10.1088/2053-1591/ac5bd0.

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Abstract In this study, TiC-Al2O3/Al ribbons inoculant were prepared by mechanical alloying, spark plasma sintering (SPS) and melt spinning. Adding 5vol.% TiC-Al2O3/Al ribbons to an Al–Si–Mg–Ti (ASMT) alloy melt significantly refined the α-Al grains from 28.5 μm to 14.9 μm. In addition, the morphology of the eutectic silicon were modified and optimized, changing from needle-like silicon to spherical silicon. Adding the TiC-Al2O3/Al ribbons significantly improved the mechanical properties of TiC-Al2O3/Al–Si–Mg–Ti (TAASMT) alloy, including its elastic modulus (EM), yield strength (YS), ultimate tensile strength (UTS) hardness, and elongation which were increased by 5.4%, 18.4%, 32.7%, 8.3%, and 62.3%, respectively. These increases in the mechanical properties could be attributed to the intracrystalline reinforcement of the Al2O3 and TiC nanoparticles, well-bonded particle/matrix interface, modification of the eutectic silicon phases, and synergistic effects of the Orowan strengthening, Coefficient of thermal expansion (CTE) mismatch strengthening, load transfer, grain refining strengthening, and geometrically necessary dislocations (GND) strengthening.

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32

El Jarroudi, Mustapha. "Homogenization of an elastic material reinforced with thin rigid von Kármán ribbons." Mathematics and Mechanics of Solids 24, no. 7 (November 14, 2018): 1965–91. http://dx.doi.org/10.1177/1081286518810757.

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33

Pan’kova, E. V., G. A. Semyannikov, A. B. Khvatov, and N. S. Perov. "Elastic waves in amorphous ribbons excited by low frequency local magnetic field." Journal of Magnetism and Magnetic Materials 272-276 (May 2004): 2079–80. http://dx.doi.org/10.1016/j.jmmm.2003.12.467.

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34

Fazelzadeh, S. A., and E. Ghavanloo. "Vibration analysis of curved graphene ribbons based on an elastic shell model." Mechanics Research Communications 56 (March 2014): 61–68. http://dx.doi.org/10.1016/j.mechrescom.2013.12.001.

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35

Skudra, A. M., and A. A. Skudra. "Elastic characteristics of a cement-based composite reinforced with steel grid ribbons." Mechanics of Composite Materials 35, no. 2 (March 1999): 119–24. http://dx.doi.org/10.1007/bf02257241.

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36

Lanotte, L., R. Bruzzese, and D. Tescione. "Resonant enhancement of standing magneto-elastic waves by laser generated thermo-elastic waves in ribbons of metallic glass." Journal of Magnetism and Magnetic Materials 147, no. 3 (June 1995): 367–72. http://dx.doi.org/10.1016/0304-8853(95)00017-8.

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37

Audoly, Basile, and Sébastien Neukirch. "A one-dimensional model for elastic ribbons: A little stretching makes a big difference." Journal of the Mechanics and Physics of Solids 153 (August 2021): 104457. http://dx.doi.org/10.1016/j.jmps.2021.104457.

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38

Klapper, I., and M. Tabor. "A new twist in the kinematics and elastic dynamics of thin filaments and ribbons." Journal of Physics A: Mathematical and General 27, no. 14 (July 21, 1994): 4919–24. http://dx.doi.org/10.1088/0305-4470/27/14/019.

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39

Dias, Marcelo A., and Basile Audoly. "“Wunderlich, Meet Kirchhoff”: A General and Unified Description of Elastic Ribbons and Thin Rods." Journal of Elasticity 119, no. 1-2 (August 26, 2014): 49–66. http://dx.doi.org/10.1007/s10659-014-9487-0.

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40

Fuhr, Javier, and Pierre Müller. "Strain distribution due to surface domains: a self-consistent approach with respect to surface elasticity." Beilstein Journal of Nanotechnology 6 (January 29, 2015): 321–26. http://dx.doi.org/10.3762/bjnano.6.30.

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Elastically mediated interactions between surface domains are classically described in terms of point forces. Such point forces lead to local strain divergences that are usually avoided by introducing a poorly defined cut-off length. In this work, we develop a self-consistent approach in which the strain field induced by the surface domains is expressed as the solution of an integral equation that contains surface elastic constants, S ij . For surfaces with positive S ij the new approach avoids the introduction of a cut-off length. The classical and the new approaches are compared in case of 1-D periodic ribbons.

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41

Chung, D. S., G. B. Benedek, F. M. Konikoff, and J. M. Donovan. "Elastic free energy of anisotropic helical ribbons as metastable intermediates in the crystallization of cholesterol." Proceedings of the National Academy of Sciences 90, no. 23 (December 1, 1993): 11341–45. http://dx.doi.org/10.1073/pnas.90.23.11341.

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We report measurements of the geometrical structure and temporal evolution of metastable helical intermediates in the pathway for cholesterol crystallization in native and model biles. We find that the lecithin component in the bile can dramatically affect the kinetics along this pathway. We also present a theoretical description of these helical intermediates using an elastic free energy appropriate for anisotropic bilayers of tilted chiral amphiphiles, which provides a quantitative description of the observed helical ribbon geometry and insight into the relative free energies of the observed metastable intermediates.

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42

Yousfi, Mohamed Abdelbasset, Cheima Ammari, Khalil Hajlaoui, Nikolaos T. Panagiotopoulos, Konstantinos Georgarakis, and Zoubeir Tourki. "On a new electromechanical switch using the reversible wavy elastic response of metallic glass ribbons." Comptes Rendus Mécanique 345, no. 11 (November 2017): 797–804. http://dx.doi.org/10.1016/j.crme.2017.07.005.

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43

Kamal, Mustafa, Abu-Bakr El-Bediwi, RizkMostafa Shalaby, and Mohammed Younus. "A study of eutectic indium-bismuth and indium-bismuth-tin Fieldâ€™s metal rapidly solidified from melt." JOURNAL OF ADVANCES IN PHYSICS 7, no. 2 (January 31, 2015): 1404–13. http://dx.doi.org/10.24297/jap.v7i2.1704.

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In this paper, the microstructure and thermal behavior of two rapidly solidified of eutectic Indium-Bismuth and Indium-Bismuth-Tin Fieldâ€™s metal are reported. This work experimentally measures the specific heat of the eutectic alloys of the binary Indium-bismuth and indium â€“bismuth â€“tin tertiary system using a differential scanning calorimeter (DSC) technique and analyzes the results to determine the thermodynamic properties of the system have sufficient scaling for experimental modeling applications. The resultant ribbons were studied by X-ray diffraction (XRD), scanning electron microscope (SEM) techniques, energy dispersive x-ray (EDX) technique. From the differential scanning calorimetry measurements, it is found that entropy change, enthalpy and specific heat are improved and enhanced compared with literature. The electrical resistivity was reported for temperatures between 295 and 330 K for all the melt-quenched ribbons of binary In-49Biand tertiary In-32.5 Bi -16.5 Sn (wt.%). The microhardness, elastic moduli, internal friction and both thermal diffusivity and thermal effusivity were also measured. Fieldâ€™s metal is more than suitable for use in experimental settings as it is non-reactive, non-toxic, simple to manufacture, easy to use, and responds to a magnetic force.

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44

Salva, H. R., A. A. Ghilarducchi, S. E. Urreta, L. M. Fabietti, and J. M. Levingston. "Nd₆₀Fe₃₀Al₁₀ Glass Forming Magnetic Alloys: A Mechanical Spectroscopy Study at the 300-560 K Temperature Range." Solid State Phenomena 184 (January 2012): 428–33. http://dx.doi.org/10.4028/www.scientific.net/ssp.184.428.

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The ferromagnetic amorphous phase in rapidly solidified Nd60Fe30Al10 glass forming alloys is investigated in melt spun ribbons (100 µm thick) and in chill cast cylinders (2 mm diameter). The amorphous resulting for these two different quenching rates were characterized by their room temperature hysteresis loops, magnetization and differential calorimetric measurements in the temperature range 300K-900K. The mechanical damping was explored in the 300-560 K temperature range, by measuring the internal friction and the shear modulus in a forced inverted pendulum operating in the frequency range 0.1-10Hz. Simultaneously, the electrical resistance of the samples was measured. The internal friction spectra of both, ribbons and a cylinder, exhibit a local maximum at about 500K, arising in a relaxation mechanism. After some thermal cycles the peak parameters stabilize reaching an apparent activation enthalpy of 1.5 eV and a limit relaxation time τ0 ≈ 0.4-2.5 . 10-17s. In both samples, the electrical resistance largely decreases during the first heating run to 560K and remains unchanged during subsequent thermal cycles. No changes in the elastic modulus or in the damping properties are detected at the Curie temperature of the alloys.

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45

Sagasti, Ariane, Miguel Llano, Andoni Lasheras, Ana Catarina Lopes, Jorge Feuchtwanger, and Jon Gutierrez. "Influence of the Length-to-Width Ratio on the ΔE Effect of Amorphous Magnetoelastic Ribbons for Actuation Applications." Key Engineering Materials 826 (October 2019): 3–10. http://dx.doi.org/10.4028/www.scientific.net/kem.826.3.

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Amorphous magnetoelastic alloys show outstanding magnetic and magnetoelastic properties that make them excellent candidates for simple detection and actuation devices. The coupling between elastic and magnetic properties reflects in the dependence of the Young’s modulus with the applied magnetic field. We present a study of the change of the Young’s modulus with the applied magnetic field in ribbons of Fe-Ni-Co-Si-B composition. Strips of different lengths (L = 35, 30, 25, 20 mm) and widths (w = 5, 3.3, 2.5, 1.7 mm) have been measured and obtained results analyzed in terms of the different length-to-width ratios (4 < R < 21). From our observations, depth of the ΔE effect reduces and needed applied magnetic bias field for minimum Young’s modulus value increases as the strips shortens. In order to test the applicability of these materials in a situation of open/close simple designed gas valve, FEM simulations have been performed by using the experimentally measured Young’s modulus values, searching to estimate the maximum deflection of such a strip when working under applied constant pressure. Obtained useful deflection ranges from 1 mm to 10 mm, telling us about the feasibility of this amorphous magnetoelastic ribbons for simple gas valve applications.

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46

Le Bras, Y., A. Lasheras, J. Gutierrez, F. Mazaleyrat, and J. M. Greneche. "A new magneto-elastic resonance based technique to determine magneto-mechanical parameters of amorphous ferromagnetic ribbons." Review of Scientific Instruments 84, no. 4 (April 2013): 043904. http://dx.doi.org/10.1063/1.4799177.

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47

Levin, Ido, Emmanuel Siéfert, Eran Sharon, and Cy Maor. "Hierarchy of geometrical frustration in elastic ribbons: Shape-transitions and energy scaling obtained from a general asymptotic theory." Journal of the Mechanics and Physics of Solids 156 (November 2021): 104579. http://dx.doi.org/10.1016/j.jmps.2021.104579.

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48

Atalay, S., H. I. Adiguzel, P. T. Squire, and P. Sovak. "Study of nanocrystalline Fe–M–Cu–Nb–Si–B (M=Cr, Co, Ni) ribbons by elastic modulus measurements." Materials Science and Engineering: A 304-306 (May 2001): 918–22. http://dx.doi.org/10.1016/s0921-5093(00)01646-4.

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49

Voliotis, Stamatis, Angeliki Hristoforou, and Giannoula Christodoulou. "On the dependence of magneto-elastic properties of amorphous ribbons on stresses induced by polishing and chemical etching." Sensors and Actuators A: Physical 106, no. 1-3 (September 2003): 137–41. http://dx.doi.org/10.1016/s0924-4247(03)00152-3.

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50

Tanasijević, Ivan, Oliver Jung, Lyndon Koens, Ahmed Mourran, and Eric Lauga. "Jet-driven viscous locomotion of confined thermoresponsive microgels." Applied Physics Letters 120, no. 10 (March 7, 2022): 104101. http://dx.doi.org/10.1063/5.0076244.

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We consider the dynamics of micro-sized, asymmetrically coated thermoresponsive hydrogel ribbons (microgels) under periodic heating and cooling in the confined space between two planar surfaces. As the result of the temperature changes, the volume and, thus, the shape of the slender microgel change, which leads to repeated cycles of bending and elastic relaxation, and to net locomotion. Small devices designed for biomimetic locomotion need to exploit flows that are not symmetric in time (non-reciprocal) to escape the constraints of the scallop theorem and undergo net motion. Unlike other biological slender swimmers, the non-reciprocal bending of the gel centerline is not sufficient here to explain for the overall swimming motion. We show instead that the swimming of the gel results from the flux of water periodically emanating from (or entering) the gel itself due to its shrinking (or swelling). The associated flows induce viscous stresses that lead to a net propulsive force on the gel. We derive a theoretical model for this hypothesis of jet-driven propulsion, which leads to excellent agreement with our experiments.

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