Interface crack problem in layered orthotropic materials under thermo-mechanical loading

Ding, Shenghu; Zhou, Yueting; Xing, Li

doi:10.1016/j.ijsolstr.2014.08.007

Cited by 17 publications

(8 citation statements)

References 25 publications

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“…Many interfacial crack problems have been investigated by using various analytical, semi-analytical and numerical approaches which have been reported to articles. [1][2][3][4][5][6][7] Nilsson [8,9] have studied the problem of moving crack in a finite isotropic strip. To solve this boundary value problem he has applied the Wiener-Hopf technique and obtained analytical expressions of SIF for both plane stress and plane strain cases.…”

Section: Introductionmentioning

confidence: 99%

Semi‐infinite moving crack in an orthotropic strip sandwiched between two identical half planes

et al. 2019

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The problem of semi‐infinite moving crack situated in a strip of a linear elastic orthotropic material sandwiched between two identical half planes has been considered. The assumed boundary value problem has been solved to convert it into the standard Wiener‐Hopf equation by using Fourier transform technique. Further the Wiener‐Hopf equation has been solved to obtain analytical expression for stress intensity factor and crack opening displacement at the tip of the crack for plane stress and plane strain cases. The effects of elastic material constants and propagation of the crack tip on stress intensity factor and crack opening displacement at the tip of crack have been displayed graphically for various particular cases for a combination of orthotropic materials.

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Section: Introductionmentioning

confidence: 99%

Semi‐infinite moving crack in an orthotropic strip sandwiched between two identical half planes

et al. 2019

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“…But to make the problems analytically tractable, some assumptions are made regarding the distributions of the material properties in FGMs, such as an exponential function [2,[5][6][7][8][9][10][11][12][13][14][15][16][17][18] or other functions [19][20][21]. Of them, Erdogan and Wu [2] have studied an unconstrained elastic layer with an embedded or a surface crack perpendicular to its boundaries under statically self-equilibrating thermal or residual stress.…”

Section: Introductionmentioning

confidence: 99%

“…The theoretical model and numerical model based on an interaction energy integral method for thermalelectroelasticity problems have been developed for a piezoelectric FGM due to a thermal load by Ueda [14] and Guo et al [15], respectively. Ding and Li [16] and Ding et al [17] investigated the thermal stress intensity factors (TSIFs) of an interface crack in functionally graded layered structures under thermal loading. The analytical model and combined analytical-numerical methods for the thermal shock fracture behavior of FGMs were proposed by Guo and Noda [18] and Zhang et al [22], respectively.…”

Section: Introductionmentioning

confidence: 99%

Thermal fracture model for a functionally graded material with general thermomechanical properties and collinear cracks

Pan

Song

Wang

2016

Journal of Thermal Stresses

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In this article, a fracture mechanics model for functionally graded materials (FGMs) with general thermomechanical properties and collinear cracks under thermal loading is proposed. Assuming the thermomechanical properties of FGM strip to be general continuous functions of the coordinate in the thickness direction, the FGM strip is divided into a multilayered medium with the thermomechanical properties varying exponentially in each layer. Using the superposition method, the problem is reduced to a perturbation problem in which the crack surface tractions are the only external forces. Finally, the crack problem is reduced to integral equations with generalized Cauchy kernel and solved numerically. Some typical examples are discussed and the thermal stress intensity factors (TSIFs) for the collinear cracks are presented. The in uences of the geometry parameters and the interaction between both collinear cracks on the TSIFs are discussed. Some important conclusions are drawn. ARTICLE HISTORY

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“…Layered FGM structure are very import in practical engineering (Sofiyev and Avcar 2010; Sofiyev et al 2012; Ding et al 2014; Ding et al 2015). The research of thermal elastic crack problem in layered structure is helpful for the design and application of functionally graded materials.…”

Section: Introductionmentioning

confidence: 99%

Interface crack between different orthotropic media under uniform heat flow

Ding

2016

SpringerPlus

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In this paper, plane thermo-elastic solutions are presented for the problem of a crack in two bonded homogeneous orthotropic media with a graded interfacial zone. The graded interfacial zone is treated as a nonhomogeneous interlayer having spatially varying thermo-elastic moduli between dissimilar, homogeneous orthotropic half-planes, which is assumed to vary exponentially in the direction perpendicular to the crack surface. Using singular integral equation method, the mixed boundary value conditions with respect to the temperature field and those with respect to the stress field are reduced to a system of singular integral equations and solved numerically. Numerical results are obtained to show the influence of non-homogeneity parameters of the material thermo-elastic properties, the orthotropy parameters and the dimensionless thermal resistance on the temperature distribution and the thermal stress intensity factors.

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Interface crack problem in layered orthotropic materials under thermo-mechanical loading

Cited by 17 publications

References 25 publications

Semi‐infinite moving crack in an orthotropic strip sandwiched between two identical half planes

Semi‐infinite moving crack in an orthotropic strip sandwiched between two identical half planes

Thermal fracture model for a functionally graded material with general thermomechanical properties and collinear cracks

Interface crack between different orthotropic media under uniform heat flow

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