Analytic solutions of multiple moving cracks in an orthotropic layer bonded to an orthotropic FGM coating

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

doi:10.1016/j.amc.2016.08.015

Cited by 21 publications

(6 citation statements)

References 19 publications

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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%

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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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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Penetration of particles through vertical cracks

Orabi

2024

Phys. Scr.

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“…Using the functionally graded materials as interface layer, the stress concentration caused by the discontinuity of material properties at the interface can be deleted [3]. The crack problem for functionally graded materials is considered in many literatures [4][5][6][7][8][9][10][11][12][13][14]. Liu and colleagues [15][16][17] studied the axisymmetric frictionless contact and the torsional problem using the linear multi-layer model to simulate the functionally graded interfacial layer with arbitrarily varying material properties along the thickness direction.…”

Section: Introductionmentioning

confidence: 99%

Axisymmetric contact problem of piezoelectric coating-substrate system with functionally graded piezoelectric interfacial layer

Zang

Liu

2023

Mathematics and Mechanics of Solids

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In this paper, the electromechanical response of piezoelectric coating-functionally graded piezoelectric (FGP) interfacial layer–piezoelectric substrate system under the rigid spherical punch is considered. It is assumed that the piezoelectric coating and piezoelectric substrate are connected by the FGP interfacial layer which is simulated by a multi-layer model. The axisymmetric frictionless contact problem of piezoelectric coating–substrate system with FGP interfacial layer is formulated in terms of singular integral equation with the method of transfer matrix and Hankel integral transform technique. The effect of the gradient of material properties on the stress components and electric displacement components in piezoelectric coating–substrate system is gained by solving the equation numerically. The present results could serve as a useful reference for the design of piezoelectric coating–substrate system.

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“…On the theoretical methods to the dynamic fracture properties of piezoelectric/piezomagnetic strips or plane containing defects, some scholars have conducted in-depth explorations. The commonly used methods are Hankel transform [1], the boundary integral equation method [2,3], Fourier transform [4,5], and distributed dislocation technique [6,7]. In addition, the most widely studied loads are in-plane electrical and magnetic loads, and anti-plane mechanical loads [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials

An,

Chen,

Zhang

et al. 2023

Mathematics and Mechanics of Solids

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In this article, the dynamic fracture behavior of hole-initiated cracks in functionally graded magneto-electro-elastic (FGMEE) bi-materials with exponential variation is studied by Green’s function method, and SH-wave is considered as an external load acting on the bi-materials. The mechanical model of the cracks is constructed through interface-conjunction and crack-deviation techniques, thereby simplifying the crack problem to solving a series of the first kind of Fredholm’s integral equations, from which the dynamic stress intensity factor (DSIF) at the crack tips is expressed. Numerical results clarified the factors that affect the DSIF, including wave number, incident angle, the geometry of the defect, and the gradient of the bi-materials. The accuracy of the present methods is examined by comparing the obtained results with the reference solutions. Compared with previous traditional numerical and analytical methods, the methods proposed in this paper are relatively more effective and applicable, and provide a new perspective for studying the fracture problems of FGMEE materials with more complex defects in practical engineering.

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Analytic solutions of multiple moving cracks in an orthotropic layer bonded to an orthotropic FGM coating

Cited by 21 publications

References 19 publications

Penetration of particles through vertical cracks

Penetration of particles through vertical cracks

Axisymmetric contact problem of piezoelectric coating-substrate system with functionally graded piezoelectric interfacial layer

Dynamic fracture behavior for hole-initiated cracks in functionally graded magneto-electro-elastic bi-materials

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