Interaction of edge dislocation array with bimaterial interface incorporating interface elasticity

2020 ◽  
Vol 149 ◽  
pp. 103233 ◽  
Author(s):  
M.A. Grekov ◽  
T.S. Sergeeva
Keyword(s):  
Edge Dislocation ◽  
Bimaterial Interface ◽  
Dislocation Array ◽  
Interface Elasticity

A Green’s Function Formulation of Anticracks and Their Interaction With Load-Induced Singularities

1989 ◽  
Vol 56 (3) ◽  
pp. 550-555 ◽  
Author(s):  
John Dundurs ◽  
Xanthippi Markenscoff
Keyword(s):  
Green’S Function ◽  
Green's Function ◽  
Edge Dislocation ◽  
Weight Functions ◽  
Bimaterial Interface ◽  
Elastic Fields ◽  
Function Formulation ◽  
Concentrated Forces ◽  
Concentrated Couple ◽  
Working Out

This paper provides a Green’s function formulation of anticracks (rigid lamellar inclusions of negligible thickness that are bonded to the surrounding elastic material). Apart from systematizing several previously known solutions, the article gives the pertinent fields for concentrated forces, dislocations, and a concentrated couple applied on the line of the anticrack. There is a reason for working out these results: In contrast to concentrated forces, a concentrated couple approaching the tip of an anticrack makes the elastic fields explode. Finite limits can be achieved, however, by appropriately diminishing the magnitude of the couple, which then leads to fields that are intimately connected with the weight functions for the anticrack. An edge dislocation going to the tip of an anticrack puts a net force on the lamellar inclusion, which is shown to be related to a previously known feature of dislocations near a bimaterial interface.

scholarly journals Stability analysis of a nanopatterned bimaterial interface

2021 ◽  
Vol 17 (1) ◽  
pp. 97-104
Author(s):  
Gleb M. Shuvalov ◽  
◽  
Sergey A. Kostyrko ◽  
Keyword(s):  
Solid Mechanics ◽  
Chemical Potential ◽  
Plane Elasticity ◽  
Interface Roughness ◽  
Bimaterial Interface ◽  
Bulk Materials ◽  
Atom Flux ◽  
Interface Elasticity ◽  
Curved Interface ◽  
Plane Elasticity Problem

In the article it is shown that the nanopatterned interface of bimaterial is unstable due to the diffusion atom flux along the interface. The main goal of the research is to analyze the conditions of interface stability. The authors developed a model coupling thermodynamics and solid mechanics frameworks. In accordance with the Gurtin—Murdoch theory of surface/interface elasticity, the interphase between two materials is considered as a negligibly thin layer with the elastic properties differing from those of the bulk materials. The growth rate of interface roughness depends on the variation of the chemical potential at the curved interface, which is a function of interface and bulk stresses. The stress distribution along the interface is found from the solution of plane elasticity problem taking into account plane strain conditions. Following this, the linearized evolution equation is derived, which describes the amplitude change of interface perturbation with time.

Grain Boundary Migration of Tilt Σ11 and Σ27 Boundaries in Pure Aluminum

2004 ◽  
Vol 467-470 ◽  
pp. 835-842 ◽  
Author(s):  
Fuyuki Yoshida ◽  
Masato Uehara ◽  
Kenichi Ikeda ◽  
Hideharu Nakashima ◽  
Hiroshi Abe
Keyword(s):  
Activation Energy ◽  
Grain Boundary ◽  
Edge Dislocation ◽  
Boundary Migration ◽  
Bulk Diffusion ◽  
Tilt Boundary ◽  
Boundary Structure ◽  
Grain Boundary Migration ◽  
Boundary Motion ◽  
Dislocation Array

Migrations of <110> tilt S 11 and S 27 boundaries in 99.99% purity aluminum have been investigated by Sun and Bauer technique as a function of temperature. In the S 11 tilt boundary, the activation energy for grain boundary migration is about 1/2 of the energy for Al-atom bulk-diffusion, indicating that the boundary motion may be governed by the grain boundary diffusion. While in the S 27 tilt boundary, the activation energy for grain boundary migration is about 125kJ/mol, which agrees with the energy for Al-atom bulk-diffusion. Study of boundary structure observation by high resolution electron microscopy revealed that the grain boundary structure of S 27 tilt boundary was consisted of edge dislocation array in which a space between dislocations was very short. It is considered that climb motion of the dislocations controlled to the motion of tilt boundaries consisted of edge dislocation array. From these results, it is concluded that the boundary motion of S 27 tilt boundary may be governed by climb motion of their dislocations controlled by Al-atom bulk-diffusion.

scholarly journals Singularities interacting with interfaces incorporating surface elasticity under plane strain deformations

2014 ◽  
Vol 41 (4) ◽  
pp. 267-282 ◽  
Author(s):  
Xu Wang ◽  
Peter Schiavone
Keyword(s):  
Plane Strain ◽  
Edge Dislocation ◽  
Surface Elasticity ◽  
Point Force ◽  
Interface Model ◽  
Interface Elasticity ◽  
Interface Parameters ◽  
Surface Mechanics ◽  
The Continuum

We consider problems involving singularities such as point force, point moment, edge dislocation and a circular Eshelby?s inclusion in isotropic bimaterials in the presence of an interface incorporating surface/interface elasticity under plane strain deformations and derive elementary solutions in terms of exponential integrals. The surface mechanics is incorporated using a version of the continuum-based surface/interface model of Gurtin and Murdoch. The results indicate that the stresses in the two half-planes are dependent on two interface parameters.

An In-depth Investigation of Bimaterial Interface Modeling Using Ordinary State-based Peridynamics

2021 ◽  
Author(s):  
Huy Anh Nguyen ◽  
Hanlin Wang ◽  
Satoyuki Tanaka ◽  
Selda Oterkus ◽  
Erkan Oterkus
Keyword(s):  
Bimaterial Interface ◽  
Interface Modeling
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