Analytical solution of multiple moving cracks in functionally graded piezoelectric strip

Bagheri, R.; Ayatollahi, M.; Mousavi, SM

doi:10.1007/s10483-015-1942-6

Cited by 24 publications

(9 citation statements)

References 22 publications

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“…Wu et al (2002) observed a semi-infinite crack between a pair of bonded different elastic strips. Investigation of the analytical solution for different moving cracks of a piezoelectric strip as well as the layers was suggested by Bagheri et al (2016) and Nourazar and Ayatollahi (2016). The some problems were regarded with the shear wave.…”

Section: Introductionmentioning

confidence: 99%

Moving semi-infinite mode-III crack inside the semi-infinite elastic media

Mandal¹

2020

Journal of Theoretical and Applied Mechanics

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The problem of a semi-infinite moving mode-III crack inside a semi-infinite isotropic half--space is considered. The crack is located between a semi-infinite elastic medium and a layer whose distance from the surface to crack depth is h. Initially, Fourier transformation and inverse Fourier transformation are applied to transfer the governing boundary value problem to the well-known Wiener-Hopf equation. The purpose of this problem is to obtain the analytical solution of Stress Intensity Factor (SIF) and Crack Opening Displacement (COD) at the neighbourhood of the crack tip. In numerical Section, I have discussed the variation of parameters (crack velocity, layer distance h from the surface to crack depth) to show the effect of these parametric values on the graphs of SIF and COD where the material properties (density, shear modulus) were fixed.

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Section: Introductionmentioning

confidence: 99%

Moving semi-infinite mode-III crack inside the semi-infinite elastic media

Mandal¹

2020

Journal of Theoretical and Applied Mechanics

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“…Numerous earlier works have looked into the effects of multiple cracks as well as the potential effects of changing the position of a crack in different structures [18][19][20][21].…”

Section: State Of the Artmentioning

confidence: 99%

Unbalanced, cracked, and misaligned rotating machines: a comparison between classification procedures throughout the steady-state operation

Rezazadeh

Luca

Perfetto

2022

J Braz. Soc. Mech. Sci. Eng.

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This article compares two intelligent methods for automatic detection of unbalancing, cracks, and parallel misalignment in rotary machines. The finite element method is used to model the faults in a rotating system. The modeled system then operates virtually under different conditions in the steady-state operation; the vibrational responses are calculated numerically. To compare the accuracy of different manners in the classification of defective systems, firstly, four distinct types of features, i.e., statistical, frequency, time–frequency, and uncertainty are exploited. The T test process is utilized to test the extracted characteristics; the unreliable features are removed from feature vectors, then the remained ones are used in four supervised machine learning classifiers, i.e., support vector machine, k-nearest neighbors, Naive Bayes, and decision trees. In the following, as the convolution neural networks (CNNs) approach, the persistence spectrums of raw signals are plotted, and these graphs are introduced as input data. Comparing results of the different classification methods, it has been observed that although CNNs based on persistence spectrum graphs are computationally heavy and time-consuming, they provide more accurate results than the other classifiers. The results show that the proposed approach for rotor fault detection is effective, accurate, and robust and that it has promise for real engineering applications.

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“…Aerosols have different origins, and depending on their origin, they can have different sizes, shapes, and different physical, chemical and biological characteristics. Their existence around us is not limited, and therefore it is a vital subject to study the different mechanisms of their generation, their characteristics, the different factors that can affect their transportation and spread, and any related dynamical behaviors [1][2][3][4][5][6]. In [1,2], for example, sources and mechanisms of bioaerosols generation are discussed.…”

Section: Introductionmentioning

confidence: 99%

“…They also considered the effect of an ambient electric field on the aerosols dynamics, where they showed that even relatively big droplets of virus carriers can spread far if their charge or the atmospheric electric field is large enough. In [3][4][5], the dynamic behaviors of moving cracks and their speed of propagation are studied in different materials and under different conditions. In [6], one of the factors that can affect the spread of aerosols, namely the deposition inside small containers, was studied.…”

Section: Introductionmentioning

confidence: 99%

Penetration of particles through vertical cracks

Orabi

2024

Phys. Scr.

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In a previous study, a new deposition model was developed to account for deposition of aerosol particles on the inner walls of small containers. In this article, the model applicability is extended by including deposition on horizontal surfaces, both upward-facing and downward-facing. After that, the model is applied to study a vital new issue, which is the penetration of aerosols to the indoors through vertical wall cracks. Previous studies, both theoretically and experimentally, never addressed penetration through vertical cracks. This study therefore aims to show the difference between penetration through vertical cracks and horizontal ones by applying the fourth-power model, which is very successful in describing deposition in small volumes. The penetration model formulated in this study takes into account, not only the thickness and depth of the crack, as usually happens in most penetration models, but all the three dimensions of the crack; thickness, depth and width. The obtained results are in a good agreement with the experimental data. This demonstrates the success of the extended fourth-power model in describing deposition inside cracks. Moreover, the results show a clear difference between vertical and horizontal cracks for the penetration of aerosols with diameter larger than ∼ 1 μ m . An application of the developed deposition and penetration models is presented, where a method for calculating the radioactive aerosols indoor concentrations is explained.

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Analytical solution of multiple moving cracks in functionally graded piezoelectric strip

Cited by 24 publications

References 22 publications

Moving semi-infinite mode-III crack inside the semi-infinite elastic media

Moving semi-infinite mode-III crack inside the semi-infinite elastic media

Unbalanced, cracked, and misaligned rotating machines: a comparison between classification procedures throughout the steady-state operation

Penetration of particles through vertical cracks

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