Evaluation of stress field along dissimilar material interface with misfit dislocation in nano-scale

AbstractWe analyze the lattice dislocation trapping mechanism at the ferrite/cementite interface of the Isaichev orientation relationship by atomistic simulations combined with the anisotropic linear elasticity theory and disregistry analysis. We find that the lattice dislocation trapping ability is varied by initial position of the lattice dislocation. The lattice dislocation near the interface is attracted to the interface by the image force generated by the interface shear, while the lattice dislocation located far is either attracted to or repelled from the interface, or even oscillates around the introduced position, depending on the combination of the stress field induced by the misfit dislocation array and the image stress field induced by the lattice dislocation.

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On the Plane Elastostatic Problem of a Loaded Crack Terminating at a Material Interface

Journal of Applied Mechanics ◽

10.1115/1.3408975 ◽

1971 ◽

Vol 38 (4) ◽

pp. 911-918 ◽

Cited By ~ 136

Author(s):

D. B. Bogy

Keyword(s):

Stress Field ◽

Plane Problem ◽

Stress Singularity ◽

Two Dimensional ◽

Severe Stress ◽

Dimensional Theory ◽

Material Interface ◽

Material Parameters ◽

Loaded Crack ◽

Elastostatic Problem

The plane problem of a crack that terminates at the interface of a bimaterial composite and is loaded on its faces is treated within the two-dimensional theory of elastostatics. The emphasis is placed on determining how the order of the singularity in the stress field at the crack tip depends on the material constants and the angle at which the crack meets the interface. Numerical results are presented through figures showing this dependence on the material parameters for several fixed angles. It is then shown by way of examples how to use these figures to obtain the dependence on the angle for any desired composite. For the two examples chosen, it is found that when the crack is in the weaker constituent the stress singularity is most severe if the crack is tangent to (lies in) the interface; whereas, when the crack is in the stronger constituent a particular angle is associated with the most severe stress singularity for each composite.

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The Lattice Dislocation Trapping Mechanism at the Ferrite/Cementite Interface: The Isaichev Orientation Relationship

10.21203/rs.3.rs-207534/v1 ◽

2021 ◽

Author(s):

Jaemin Kim ◽

Hadi Ghaffarian ◽

Keonwook Kang

Keyword(s):

Stress Field ◽

Orientation Relationship ◽

Misfit Dislocation ◽

Image Force ◽

Initial Position ◽

Lattice Dislocation ◽

Atomistic Simulations ◽

Interface Shear ◽

Linear Elasticity Theory ◽

Trapping Mechanism

Abstract We analyze the lattice dislocation trapping mechanism at the ferrite/cementite interface (FCI) of the Isaichev orientation relationship (OR) by atomistic simulations combined with the anisotropic linear elasticity theory and disregistry analysis. We find that the lattice dislocation trapping ability is varied by initial position of the lattice dislocation. The lattice dislocation near the interface is attracted to the interface by the image force generated by the interface shear, while the lattice dislocation located far is either attracted to or repelled from the interface, or even oscillates around the introduced position, depending on the combination of the stress field induced by the misfit dislocation array and the image stress field induced by the lattice dislocation.

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