Elastic fields due to an edge dislocation in an isotropic film-substrate by the image method

Zhou, Kun; Wu, Mao S.

doi:10.1007/s00707-009-0226-8

Cited by 31 publications

(12 citation statements)

References 24 publications

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“…Using relevant expressions from Eqs. (4), (9) and (10) in Eq. (17), we obtain the force on the dislocation in the integral form:…”

Section: Force On the Dislocationmentioning

confidence: 98%

“…His classical solution for the force on a screw dislocation in an isotropic half space on which there is a surface film paved the way for similar investigations for a variety of configurations of layered materials (see, for example, [3][4][5]). More recently, variants of the image method have been used to study the interaction of dislocations with boundaries for some two-dimensional anti-plane configurations (see, for example, [6][7][8][9][10]). In [7], the technique of Mellin transform was used in conjunction with the image method to analyze the problem of two-dimensional dissimilar isotropic composite annular wedges subjected to anti-plane concentrated forces and screw dislocations.…”

Section: Introductionmentioning

confidence: 99%

“…In [8], a generalized image method was developed and used to obtain solutions for a generalized dislocation in a solid consisting of three finite layers on a semi-infinite substrate. In [9], the method of image dislocations was used to obtain analytical solutions for the elastic fields due to an edge dislocation in a linearly elastic isotropic film-substrate, while in [10] a complex potential approach was employed in conjunction with the image method to study the interaction between an edge dislocation and an elastic thin layered semi-infinite matrix.…”

Section: Introductionmentioning

confidence: 99%

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On screw dislocation in a multiphase lamellar inclusion

Ogbonna

2015

Journal of the Nigerian Mathematical Society

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The interaction of a screw dislocation in a lamellar inclusion with multiple boundaries is investigated. An analytical solution is obtained for the force acting on the dislocation, and equilibrium positions are established for physically interesting special cases, such as a double layer bounded by free plane surfaces. A functional relationship is obtained which expresses the force on a screw dislocation on one side of an interface in terms of the force on a screw dislocation on the opposite side of the interface, thereby contributing to reduction of effort in the calculation process.

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“…Using relevant expressions from Eqs. (4), (9) and (10) in Eq. (17), we obtain the force on the dislocation in the integral form:…”

Section: Force On the Dislocationmentioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On screw dislocation in a multiphase lamellar inclusion

Ogbonna

2015

Journal of the Nigerian Mathematical Society

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“…1c, the complex potentials Φ ω 1 (z) and Ψ ω 1 (z) in the medium I can be written as [41][42][43][44][45] Φ ω…”

Section: Problem Formulationsmentioning

confidence: 99%

“…Second, the force produced by wedge disclination quadrupole representing the special rotational deformation can be obtained as [43] f…”

Section: Dislocation Emission From the Interfacial Crack Tipmentioning

confidence: 99%

Effect of special rotational deformation on dislocation emission from interface collinear crack tip in nanocrystalline bi-materials

Fang

Feng

et al. 2016

Acta Mech

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The work is devoted to investigate the interaction between the special rotational deformation and interface collinear cracks in nanocrystalline bi-materials. As an illustrative example, the effect of the disclination quadrupole produced by the special rotational deformation on the emission of lattice dislocation from a finite interfacial crack tip in nanocrystalline bi-material is explored theoretically using the complex variable method. The complex form expression of dislocation force and the critical stress intensity factors for the first edge dislocation emission under remote mode I loadings and mode II loadings are deduced. And the influences of material properties, grain size, disclination strength, disclination location and orientation, special rotational deformation orientations, and crack length on the critical stress intensity factors are discussed in detail. The results show that the special rotational deformation and the relative shear modulus of the upper the lower half plane have great effect on the lattice dislocation emission from the interface collinear crack tip.

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Effects of surface/interface elasticity on the screw dislocation-induced stress field in an elastic film–substrate system

Dai

Schiavone

2019

Z. Angew. Math. Phys.

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Elastic fields due to an edge dislocation in an isotropic film-substrate by the image method

Cited by 31 publications

References 24 publications

On screw dislocation in a multiphase lamellar inclusion

On screw dislocation in a multiphase lamellar inclusion

Effect of special rotational deformation on dislocation emission from interface collinear crack tip in nanocrystalline bi-materials

Effects of surface/interface elasticity on the screw dislocation-induced stress field in an elastic film–substrate system

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