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

Mojtaba Ayatollahi; Rasul Bagheri; Mahsa Nourazar; Mojtaba Mahmoudi Monfared; Mahmoud Mousavi

doi:10.1016/j.amc.2016.08.015

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

Mojtaba Ayatollahi^*
, Rasul Bagheri
, Mahsa Nourazar
, Mojtaba Mahmoudi Monfared
, Mahmoud Mousavi

^*Corresponding author for this work

Department of Civil Engineering

Research output: Contribution to journal › Article › Scientific › peer-review

26 Citations (Scopus)

Abstract

In this paper, the dynamic behavior of an orthotropic substrate weakened by moving cracks and reinforced by a non-homogenous coating is studied. First, the solution to the screw dislocation in an orthotropic strip with imperfect orthotropic functionally graded coating is obtained. Then, for the anti-plane analysis of cracks, the screw dislocations are distributed along the crack lines and the dislocation solution is used to derive integral equations for dislocation density functions on the surface of cracks. The effects of non-homogeneity parameters, geometrical parameters and bonding coefficient on the stress intensity factors are investigated.

Original language	English
Pages (from-to)	394-403
Number of pages	10
Journal	Applied Mathematics and Computation
Volume	293
DOIs	https://doi.org/10.1016/j.amc.2016.08.015
Publication status	Published - 15 Jan 2017
MoE publication type	A1 Journal article-refereed

Keywords

Antiplane
Imperfect FGM orthotropic coating
Multiple cracks
Orthotropic strip
Stress intensity factors

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10.1016/j.amc.2016.08.015

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title = "Analytic solutions of multiple moving cracks in an orthotropic layer bonded to an orthotropic FGM coating",

abstract = "In this paper, the dynamic behavior of an orthotropic substrate weakened by moving cracks and reinforced by a non-homogenous coating is studied. First, the solution to the screw dislocation in an orthotropic strip with imperfect orthotropic functionally graded coating is obtained. Then, for the anti-plane analysis of cracks, the screw dislocations are distributed along the crack lines and the dislocation solution is used to derive integral equations for dislocation density functions on the surface of cracks. The effects of non-homogeneity parameters, geometrical parameters and bonding coefficient on the stress intensity factors are investigated.",

keywords = "Antiplane, Imperfect FGM orthotropic coating, Multiple cracks, Orthotropic strip, Stress intensity factors",

author = "Mojtaba Ayatollahi and Rasul Bagheri and Mahsa Nourazar and Monfared, \{Mojtaba Mahmoudi\} and Mahmoud Mousavi",

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doi = "10.1016/j.amc.2016.08.015",

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T1 - Analytic solutions of multiple moving cracks in an orthotropic layer bonded to an orthotropic FGM coating

AU - Ayatollahi, Mojtaba

AU - Bagheri, Rasul

AU - Nourazar, Mahsa

AU - Monfared, Mojtaba Mahmoudi

AU - Mousavi, Mahmoud

PY - 2017/1/15

Y1 - 2017/1/15

N2 - In this paper, the dynamic behavior of an orthotropic substrate weakened by moving cracks and reinforced by a non-homogenous coating is studied. First, the solution to the screw dislocation in an orthotropic strip with imperfect orthotropic functionally graded coating is obtained. Then, for the anti-plane analysis of cracks, the screw dislocations are distributed along the crack lines and the dislocation solution is used to derive integral equations for dislocation density functions on the surface of cracks. The effects of non-homogeneity parameters, geometrical parameters and bonding coefficient on the stress intensity factors are investigated.

AB - In this paper, the dynamic behavior of an orthotropic substrate weakened by moving cracks and reinforced by a non-homogenous coating is studied. First, the solution to the screw dislocation in an orthotropic strip with imperfect orthotropic functionally graded coating is obtained. Then, for the anti-plane analysis of cracks, the screw dislocations are distributed along the crack lines and the dislocation solution is used to derive integral equations for dislocation density functions on the surface of cracks. The effects of non-homogeneity parameters, geometrical parameters and bonding coefficient on the stress intensity factors are investigated.

KW - Antiplane

KW - Imperfect FGM orthotropic coating

KW - Multiple cracks

KW - Orthotropic strip

KW - Stress intensity factors

UR - https://www.scopus.com/pages/publications/84985945543

U2 - 10.1016/j.amc.2016.08.015

DO - 10.1016/j.amc.2016.08.015

M3 - Article

AN - SCOPUS:84985945543

SN - 0096-3003

VL - 293

SP - 394

EP - 403

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

ER -

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

Abstract

Keywords

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