A partially insulated embedded crack in an infinite functionally graded medium under thermo-mechanical loading

El-Borgi, Sami; Erdoğan, F.; Hidri, Lotfi

doi:10.1016/s0020-7225(03)00287-8

Cited by 62 publications

(32 citation statements)

References 12 publications

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“…Some studies have been devoted to studying the singular behavior of temperature gradients around a crack tip based on the classical Fourier heat conduction model [11][12][13]. Many researchers have paid attention to the crack problems under thermal loading in advanced materials using the Fourier heat conduction model and the stress intensity factors are obtained [14][15][16][17][18][19][20][21]. Qin [22] obtained the general solutions for thermo-piezoelectrics with various holes under thermal loading.…”

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confidence: 99%

Hyperbolic Heat Conduction in a Cracked Thermoelastic Half-Plane Bonded to a Coating

Chen

2012

Int J Thermophys

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In this paper, the transient temperature field around a thermally insulated crack in a substrate bonded to a coating is obtained using the hyperbolic heat conduction model. Fourier and Laplace transforms are applied, and the thermal conduction problem is reduced to solving a singular integral equation. Numerical results show that the hyperbolic heat conduction parameters, the heat conductivity of the substrate and coating, and the geometric size of the composite have significant influence on the transient temperature field. In the case of very small time scales, the results predicted by the hyperbolic model are more conservative than that by the parabolic model.

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confidence: 99%

Hyperbolic Heat Conduction in a Cracked Thermoelastic Half-Plane Bonded to a Coating

Chen

2012

Int J Thermophys

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“…The Poisson's ratio v is assumed to be a constant because the effect of its variation on the crack tip stress intensity factors was shown to be negligible [14,15]. The remaining thermomechanical properties depend on the y-coordinate only and are modeled by an exponential function [3,[11][12][13] k j = k 0 e δ j y , μ j = μ 0 e β j y , α j = α 0 e γ j y , j = 1, 2,…”

Section: Problem Formulationmentioning

confidence: 99%

“…The properties of practical FGMs, nevertheless, may vary in an arbitrary manner. Chen et al [10] investigated the mode I surface crack problem for an orthotropic-graded strip under transient loading.Considering the partial insulation along the crack surfaces, Borgi and Erdogan [11,12] considered the problem of a functionally graded coating bonded to a homogeneous substrate with a partially insulated interface crack between the two materials subject to both thermal and mechanical loading. The problem of an embedded partially insulated crack in a graded coating bonded to a homogeneous substrate under thermal and mechanical loading is considered by Borgi et al [13].…”

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Thermal stress intensity factors for an interface crack in a functionally graded layered structures

Ding

Xing

2010

Arch Appl Mech

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The fracture behavior of a functionally graded layered structure (FGLS) with an interface crack under thermal loading is investigated. Considering new boundary conditions, it is assumed that interface crack is partly insulated, and the temperature drop across the crack surfaces is the result of the thermal resistance due to the heat conduction through the crack region. The problem is formulated in terms of a system of singular integral equations. Numerical results are presented to show the influence of the material nonhomogeneity parameters and the dimensionless thermal resistance on the thermal stress intensity factors (TSIFs).Keywords Functionally graded layered structure (FGLS) · Thermal resistance · Thermal stress intensity factors (TSIFs) IntroductionOne of the purposes for developing functionally graded materials (FGMs) is to replace the conventional homogeneous materials to reduce the magnitude of residual and thermal stresses and thus to increase the bonding strength where the materials are subjected to extremely high thermal loading. In designing components involving FGMs, an important aspect of the problem is the question of mechanical failure, specifically the fracture failure [1]. Fatigue and fracture characterization of materials and related analysis require the solution of certain standard crack problems. So far, many crack problems in FGMs have been solved to obtain the crack tip thermal stress intensity factors (TSIFs) by assuming the elastic properties varying due to functional forms [2][3][4][5][6][7].Assuming the perfect thermal insulation of the crack surfaces, Noda and Jin [8] studied the crack problem for an infinite functionally graded material (FGM) subjected to a steady-state heat flux over the crack surfaces by assuming continuously varying thermal properties. Choi et al. [9] studied the crack problems in FGM-like nonhomogeneous materials under thermal loading. The properties of practical FGMs, nevertheless, may vary in an arbitrary manner. Chen et al. [10] investigated the mode I surface crack problem for an orthotropic-graded strip under transient loading.Considering the partial insulation along the crack surfaces, Borgi and Erdogan [11,12] considered the problem of a functionally graded coating bonded to a homogeneous substrate with a partially insulated interface crack between the two materials subject to both thermal and mechanical loading. The problem of an embedded partially insulated crack in a graded coating bonded to a homogeneous substrate under thermal and mechanical loading is considered by Borgi et al [13]. In their studies, the continuity conditions of the temperature field and heat flux along the crack axis, outside the crack and along the interface are considered.In this paper, consider new boundary conditions, assuming that the interface crack is partially insulated and the temperature drop across the crack surfaces is the result of the thermal resistance due to the heat conduction

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“…An unsymmetrical end-notched flexure test is described and its suitability for interfacial fracture toughness testing is evaluated [19]. An infinite functionally graded medium with a partially insulated crack subjected to a steady-state heat flux away from the crack region as well as mechanical crack surface stresses is considered [20]. The influence of an axisymmetric partially insulated mixedmode crack on the coupled response of a functionally graded magnetoelectroelastic material subjected to thermal loading is investigated [21].…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Analysis for Two Collinear Cracks in an Orthotropic Solid Disturbed by Antisymmetrical Linear Heat Flow

Jun-gao

Peng

et al. 2017

Mathematical Problems in Engineering

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The problem of two collinear cracks in an orthotropic solid under antisymmetrical linear heat flow is investigated. It is assumed that there exists thermal resistance to heat conduction through the crack region. Applying the Fourier transform, the thermal coupling partial differential equations are transformed to dual integral equations and then to singular integral equations. The cracktip thermoelastic fields including the jumps of temperature and elastic displacements on the cracks and the mode II stress intensity factors are obtained explicitly. Numerical results show the effects of the geometries of the cracks and the dimensionless thermal resistance on the temperature change and the mode II stress intensity factors. Also, FEM solutions for the stress intensity factor are used to compare with the solutions obtained using the method. It is revealed that the friction in closed crack surface region should be considered in analyzing the stress intensity factor .

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A partially insulated embedded crack in an infinite functionally graded medium under thermo-mechanical loading

Cited by 62 publications

References 12 publications

Hyperbolic Heat Conduction in a Cracked Thermoelastic Half-Plane Bonded to a Coating

Hyperbolic Heat Conduction in a Cracked Thermoelastic Half-Plane Bonded to a Coating

Thermal stress intensity factors for an interface crack in a functionally graded layered structures

Thermoelastic Analysis for Two Collinear Cracks in an Orthotropic Solid Disturbed by Antisymmetrical Linear Heat Flow

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