Simulation of solitary wave propagation in carbon fibre reinforced polymer

Lints, Martin; Salupere, Andrus; Santos, Serge Dos

doi:10.3176/proc.2015.3.14

Cited by 8 publications

(5 citation statements)

References 18 publications

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“…A solitary wave, in general, is formed when the nonlinearity and dispersion interact with each other and, consequently, the wave form becomes unchanged as the wave travels [21]. It is interesting to discuss the sources of nonlinearity and dispersion in Equation (28).…”

Section: Fracturing Stagementioning

confidence: 99%

“…The reason for this asymmetry is not fully understood at this time. However, it is interesting to note that the linear pattern possibly represents strong shear deformation and, within this region, the fracture condition ( 19) is satisfied in the recoverable mode (21). Perfectly-linear fringes make ω defined by Equation (3) a constant, and therefore ∇ × ω = 0.…”

Section: Propagation Of Elasto-plastic Wavementioning

confidence: 99%

“…Ziv and Shmuel [20] discuss the coalescence of longitudinal and shear waves to form shock waves in soft materials. Lints [21] et al discuss the formation of solitary waves in a carbon fiber reinforced polymer with non-solitary ultrasonic excitation.…”

Section: Introductionmentioning

confidence: 99%

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Nondestructive Evaluation of Solids Based on Deformation Wave Theory

2020

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The application of a recent field theory of deformation and fracture to nondestructive testing (NDT) is discussed. Based on the principle known as the symmetry of physical laws, the present field theory formulates all stages of deformation including the fracturing stage on the same theoretical basis. The formalism derives wave equations that govern the spatiotemporal characteristics of the differential displacement field of solids under deformation. The evolution from the elastic to the plastic stage of deformation is characterized by a transition from longitudinal (compression) wave to decaying longitudinal/transverse wave characteristics. The evolution from the plastic to the fracturing stage is characterized by transition from continuous wave to solitary wave characteristics. Further, the evolution from the pre-fracturing to the final fracturing stage is characterized by transition from the traveling solitary wave to stationary solitary wave characteristics. In accordance with these transitions, the criterion for deformation stage is defined as specific spatiotemporal characteristics of the differential displacement field. The optical interferometric technique, known as Electronic Speckle-Pattern Interferometry (ESPI), is discussed as an experimental tool to visualize those wave characteristics and the associated deformation-stage criteria. The wave equations are numerically solved for the elastoplastic stages, and the resultant spatiotemporal behavior of the differential displacement field is compared with the experimental results obtained by ESPI. Agreement between the experimental and numerical results validates the present methodology at least for the elastoplastic stages. The solitary wave characteristics in the fracturing stages is discussed based on the experimental results and dislocation theory.

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Section: Fracturing Stagementioning

confidence: 99%

Section: Propagation Of Elasto-plastic Wavementioning

confidence: 99%

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Nondestructive Evaluation of Solids Based on Deformation Wave Theory

2020

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“…From a mechanical point of view, it is vital to study the modes of failure when subjected to external loadings, such as compression and traction, before considering the lattice structures for industrial or medical applications. Therefore, an effective and reliable nondestructive testing or evaluation method [14][15][16] is essential.…”

Section: Introductionmentioning

confidence: 99%

Ultrasonic investigation of the effect of compressive strains on 3D periodic bi-material structures

et al. 2022

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Due to the specific elastic properties such as high stiffness to mass ratio, regular microstructure materials are widely used in the industry. The need for nondestructive evaluation is ubiquitous to ensure material quality. As an effective nondestructive testing method, ultrasound has great potential in providing an efficient materials characterization. However, contrary to more convenient ultrasound applications, challenges arise when applying ultrasound to 3D bi-material structures due to the coexistence of different phenomena, including diffraction effects caused by the periodicity. Two linear ultrasound methods, namely the Bragg diffraction and the comb filtering effect, are proposed to address this hurdle. The results show that the comb filtering effect effectively characterizes, respectively, the vertical structural quality of the bi-material. Bragg diffraction can also expose structural variations in the horizontal plane.

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“…In the TR-NEWS analysis, the autocorrelation of nonlinear direct solitonic sound wave and the time reversed solitonic wave are considered and two waves are one directional [61]. Presence of time reversed wave in addition to the direct wave is similar to the Gribov ambiguity in Coulomb gauge field equations [84].…”

mentioning

confidence: 99%

Theoretical Study of Memristor and \\ Time Reversal based\\ Nonlinear Elastic Wave Spectroscopy

Furui¹,

Santos²

2018

Preprint

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Principle of memristor presented by Leon Chua and time reversal based non-linear elastic wave spectroscopy (TR-NEWS) which can be applied to acoustic tomography are reviewed. Correlation of acoustic or electromagnetic nonlinear waves and its time reversed wave can produce strong signal. Materials like transducer or biological skin can be assumed to be composed of a large number of small elastic unit: hysteretic elementary unit (HEU), and one can take a HEU as a memristor whose operation depends on time. Relation between TR-NEWS and solitonic wave in fluid, and relation between decomposition of time reversal operator (DORT) and chaotic oscillation are discussed.

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Simulation of solitary wave propagation in carbon fibre reinforced polymer

Cited by 8 publications

References 18 publications

Nondestructive Evaluation of Solids Based on Deformation Wave Theory

Nondestructive Evaluation of Solids Based on Deformation Wave Theory

Ultrasonic investigation of the effect of compressive strains on 3D periodic bi-material structures

Theoretical Study of Memristor and \\ Time Reversal based\\ Nonlinear Elastic Wave Spectroscopy

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