Interaction between heat dipole and circular interfacial crack

Xiao, Wansheng; Xie, Chao; Liu, Youwen

doi:10.1007/s10483-009-1002-x

Cited by 5 publications

(2 citation statements)

References 13 publications

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“…Yang et al [6] studied the interaction between a screw dislocation and a blunt crack. Fang et al [7,8] [9,10] researched the interaction of screw dislocation dipole and heat dipole with a circular interfacial crack, and analyzed the effect of temperature field and inhomogeneity on the interface fracture.…”

Section: Introductionmentioning

confidence: 99%

The Interaction between a Piezoelectric Screw Dislocation Dipole and an Elliptic Blunt Crack in Elliptical Inhomogeneity

Fang

Liu

et al. 2014

Mechanics of Advanced Materials and Structures

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The interaction problem of a piezoelectric screw dislocation dipole with a confocal elliptic blunt crack in elliptical inhomogeneity subjected to remote anti-plane stress field and in-plane electric field is investigated by using the complex method of elasticity. The exact closed-form solutions of a series of quantities, such as singularity stress field, image force and image torque acting on the center of screw dislocation dipole, stress intensity factor and electric displacement intensity factor of crack tip, energy release rate, and generalized strain energy density are obtained. Then the influence laws of remote load, the dip angle of dislocation dipole, the size of blunt crack, and the material constants on the quantities are analyzed. The numerical results show that the image force, image torque, stress intensity factor, and electric displacement intensity factor make periodic variation as the dip angle of dislocation dipole; the energy release rate of crack tip is negative when subjected to pure electric field, however, it can be positive or negative when subjected to the combined action of mechanical field and electric field; the sharp crack is not easy to expand in some combined action of mechanical field and electric field.Keywords: screw dislocation dipole, elliptical inhomogeneity, confocal blunt crack, image force and image torque, stress intensity factor, energy release rate, strain energy density

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Section: Introductionmentioning

confidence: 99%

The Interaction between a Piezoelectric Screw Dislocation Dipole and an Elliptic Blunt Crack in Elliptical Inhomogeneity

Fang

Liu

et al. 2014

Mechanics of Advanced Materials and Structures

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“…Therefore, many scholars have done much investigation on these problems. Lin [1] researched the interaction between a screw dislocation dipole and a surface crack, and calculated the generalized stress intensity factor and the image force acted on the dipole center; Xiao and Wei [2][3] researched interaction between the screw dislocation/ heat dipole and circular interfacial crack; Ballarini and Denda [4] researched interaction between a crack and a dislocation dipole and discussed the influence law of dipole on stress intensity factor of crack tip; Wang and Lee [5][6] investigated the interaction problem of edge dislocation with a semi-infinite crack, and presented the analytic expression of strain energy, image force and image torque, stress intensity factor of crack tip. A elliptical inhomogeneity containing a confocal elliptic crack/hole is a typical defect model and is easy to get analytical solution, which is convenient for understand the interaction effect of interior defects in enhanced phase with dislocations.…”

Section: Introductionmentioning

confidence: 99%

The Interaction between a Screw Dipole in Matrix and an Elliptical Inhomogeneity Containing a Confocal Crack

Liu

2011

AMR

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The interaction between a screw dipole inside the matrix and an elastic elliptical inhomogeneity containing a confocal crack under longitudinal shear is investigated. By using the complex method of elasticity, singularity analysis of stress function and Riemann boundary problem, the complex functions of matrix and inhomogeneity are obtained in the series form. And the singularity stress field of matrix, the image force and image torque acting on the center of screw dipole and the stress intensity factor of crack tip are deduced. Then the influence of the dip angle of screw dipole, the size of inhomogeneity and the misfit of materials on image force, torque of couple and the stress intensity are analyzed. The results show that the image force varies periodically as and there is two critical value of to make image force getting its maximum and minimum; the decreasing of relative shear modulus and the increasing of inhomogeneity may lead to the increasing of image force; the variation of will change the direction of screw dipole on stress intensity factor.

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A novel hybrid technique to decompose in-plane thermoelastic displacement fields into thermal and structural displacement fields

Thube

Gotkhindi

2022

Acta Mech

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Interaction between heat dipole and circular interfacial crack

Cited by 5 publications

References 13 publications

The Interaction between a Piezoelectric Screw Dislocation Dipole and an Elliptic Blunt Crack in Elliptical Inhomogeneity

The Interaction between a Piezoelectric Screw Dislocation Dipole and an Elliptic Blunt Crack in Elliptical Inhomogeneity

The Interaction between a Screw Dipole in Matrix and an Elliptical Inhomogeneity Containing a Confocal Crack

A novel hybrid technique to decompose in-plane thermoelastic displacement fields into thermal and structural displacement fields

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