Computation of mixed mode stress intensity factors for multiple axisymmetric cracks in an FGM medium under transient loading

Monfared, M.M.; Pourseifi, Mehdi; Bagheri, R.

doi:10.1016/j.ijsolstr.2018.09.010

Cited by 25 publications

(4 citation statements)

References 16 publications

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“…According to the relationships (23) and (25) In the transversely isotropic MEE media, the boundary conditions of the stress field and the electric and magnetic displacement at crack tip behave like 1/√r, where r is the distance from the crack tips. Therefore, by choosing that the embedded crack tips to be singular at q=−1, the dislocation densities for each type of crack are classified as [44]…”

Section: Axisymmetric Planar Crack Formulationmentioning

confidence: 99%

Transient Response of an Inﬁnite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks

Vahdati,

Salehi,

Vahabi

et al. 2024

Preprint

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Dynamic behavior of coaxial axisymmetric planar cracks in the transversely isotropic magneto-electro-elastic (MEE) material in transient in-plane magneto-electro-mechanical loading is studied. Magneto-electrically impermeable as well as permeable cracks are assumed for crack surface. In the first step, considering prismatic and radial dynamic dislocations, electric and magnetic jumps are obtained through Laplace and Hankel transforms. These solutions are utilized to derive singular integral equations in the Laplace domain for the axisymmetric penny-shaped and annular cracks. Derived Cauchy singular type integral equations are solved to obtain the density of dislocation on the crack surfaces. Dislocation densities are utilized in computation of the dynamic stress intensity factors, electric displacement and magnetic induction in the vicinity tips of crack tips. Finally, some numerical case studies of a single and multiple cracks are presented. The effect of system parameters on the results is then discussed.

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Section: Axisymmetric Planar Crack Formulationmentioning

confidence: 99%

Transient Response of an Inﬁnite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks

Vahdati,

Salehi,

Vahabi

et al. 2024

Preprint

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“…To determine the stiffness matrix of a cracked shaft element with the open crack assumption K e o , first, the extra flexibility matrix caused by the crack C c should be calculated; then, it should be added to the flexibility matrix of the healthy shaft element C uc ; and finally, the inverse of the resulting matrix C o should be multiplied in a transfer matrix (T) [35]. Three crack loading modes-namely the tensile, sliding, and tearing modes-have been taken into account for calculating the effects of a crack on the local flexibility of a cracked shaft element; calculation of these factors has a wide share in the engineering works in solid mechanics [38]. The non-dimensional coefficients in the extra flexibility matrix of the cracked element were calculated using the stress intensity factor of each of these modes [16].…”

Section: Cracked Rotormentioning

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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“…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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Computation of mixed mode stress intensity factors for multiple axisymmetric cracks in an FGM medium under transient loading

Cited by 25 publications

References 16 publications

Transient Response of an Inﬁnite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks

Transient Response of an Inﬁnite Isotropic Magneto-Electro-Elastic Material with Multiple Axisymmetric Planar Cracks

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

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

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