Shape effects in the interaction between an edge dislocation and an elliptical inhomogeneity

Stagni, Luigi; Lizzio, R.

doi:10.1007/bf00614769

Cited by 67 publications

(21 citation statements)

References 6 publications

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“…The solution is given in a form of an infinite series, since the problems cannot be solved exactly. However, we found that the solution given by Stagni and Lizzio [8] exhibits a poor convergence when the point force is applied at a point near to the inclusion [9], and then is not appropriate for analyzing the interface crack problems. Thus, in a previous paper [9], we presented a new solution for the same problem, which has a good convergence and is also applicable to the case of a point force and dislocation acting at a point just on the interface.…”

Section: Formulations and Solutionsmentioning

confidence: 79%

See 1 more Smart Citation

Stress intensity factors for an interface crack along an elliptical inclusion

Chen

Nakamichi

1996

Int J Fract

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The problem of a crack along the interface of an elliptical elastic inclusion embedded in an infinite plate subjected to uniform stresses at infinity is analyzed by the body force method. The crack tip stress intensity factors are calculated for various inclusion geometries and material combinations. Based on numerical results, the effect of the inclusion geometry on the stress intensity factors is investigated. It is found that for small interface cracks the stress intensity factors are mainly determined by the stresses, occurring at the crack center point before the crack initiation, and interface curvature radius alone.

show abstract

Section: Formulations and Solutionsmentioning

confidence: 79%

“…The solution of this kind was first given by Stagni and Lizzio [8]. The solution is given in a form of an infinite series, since the problems cannot be solved exactly.…”

Section: Formulations and Solutionsmentioning

confidence: 99%

Stress intensity factors for an interface crack along an elliptical inclusion

Chen

Nakamichi

1996

Int J Fract

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show abstract

“…Therefore, a solution with a good convergence is preferable in the numerical analysis to reduce the number of series terms necessary to ensure an accuracy of analysis. However, we found in a previous study [7] that the solution given by Stagni and Lizzio [6] exhibits poor convergence when the dislocation is applied at a point near the inclusion. In order to improve the convergence, we derived a new solution which has good convergence; it is also applicable to the case of a point force and dislocation acting at a point just on the interface [7].…”

Section: Introductionmentioning

confidence: 90%

“…Dundurs and Sendeckyj [4] solved the same problem for the case where the location of the dislocation is within the inclusion. Later, the interaction problems for an inclusion having the elliptic shape were solved by Warren [5] and by Stagni and Lizzio [6], respectively, for a dislocation acting inside and outside the inclusion. In both cases the solutions are given in the form of an infinite series since the problems can not be solved exactly.…”

Section: Introductionmentioning

confidence: 99%

A point force and an edge dislocation in an elliptical inclusion embedded in an infinite medium

Chen

1995

Int J Fract

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The plane elasticity problem of an infinite plate containing an elliptical inclusion is considered and the solutions for a point force and/or a dislocation located inside the inclusion are derived. By using the complex potential approach of Muskhelishvili, the general solutions are obtained in a form of a certain function plus an infinite series. The numerical convergence of the solutions is found to be better than that of Warren's solutions for the same problem. The proposed solutions are also appropriate for the case of a point force and dislocation acting at a point just on the interface.

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“…The explicit solutions of electroelastic fields in the circular inclusion and the matrix regions can be easily derived from Eqs. (2)(3)(4).…”

Section: Basic Equations and Solutionsmentioning

confidence: 98%

Piezoelectric screw dislocations interacting with a circular inclusion with imperfect interface

Jin

Fang

2007

Arch Appl Mech

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The electroelastic coupling interaction between multiple screw dislocations and a circular inclusion with an imperfect interface in a piezoelectric solid is investigated. The appointed screw dislocation may be located either outside or inside the inclusion and is subjected to a line charge and a line force at the core. The analytic solutions of electroelastic fields are obtained by means of the complex-variable method. With the aid of the generalized Peach-Koehler formula, the explicit expressions of image forces exerted on the piezoelectric screw dislocations are derived. The motion and the equilibrium position of the appointed screw dislocation near the circular interface are discussed for variable parameters (interface imperfection, material electroelastic mismatch, and dislocation position), and the influence of the nearby parallel screw dislocations is also considered. It is found that the piezoelectric screw dislocation is always attracted by the electromechanical imperfect interface. When the interface imperfection is strong, the impact of material electroelastic mismatch on the image force and the equilibrium position of the dislocation becomes weak. Additionally, the effect of the nearby dislocations on the mobility of the appointed dislocation is very important.

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Shape effects in the interaction between an edge dislocation and an elliptical inhomogeneity

Cited by 67 publications

References 6 publications

Stress intensity factors for an interface crack along an elliptical inclusion

Stress intensity factors for an interface crack along an elliptical inclusion

A point force and an edge dislocation in an elliptical inclusion embedded in an infinite medium

Piezoelectric screw dislocations interacting with a circular inclusion with imperfect interface

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