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Journal ArticleDOI

A boundary perturbation analysis for elastic inclusions and interfaces

Huajian Gao
- 01 Jan 1991 - 
- Vol. 28, Iss: 6, pp 703-725
TLDR
In this article, a first-order boundary perturbation method based on Muskhelishvilli's complex variable representations is formulated for the two-dimensional elasticity problem of a nearly-circular inclusion embedded in an infinite dissimilar material.
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This article is published in International Journal of Solids and Structures.The article was published on 1991-01-01. It has received 128 citations till now. The article focuses on the topics: Stress concentration.

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Citations
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Surface roughening of heteroepitaxial thin films

TL;DR: In this paper, a series of theoretical and experimental studies on surface roughening in heteroepitaxial films is presented, where it is shown that the strain caused by lattice mismatch drives the diffusional atomic flux along the film surface in such a way that an initially flat film evolves into an undulating profile with cusp-like surface valleys with singular stress concentration near the cusp tip.
Journal ArticleDOI

Morphological instability in epitaxially strained dislocation‐free solid films: Linear stability theory

TL;DR: The morphological instability of a growing epitaxially strained dislocation‐free solid film is analyzed and exhibits many of the observed features of the onset of the ‘‘island instability’’.
Journal ArticleDOI

Some general properties of stress-driven surface evolution in a heteroepitaxial thin film structure

TL;DR: In this paper, the authors show that a few invariance properties of the strain energy density and the chemical potential in a heteroepitaxial structure can be utilized to obtain some valuable information concerning the equilibrium profile, the stress concentration and the formation of cusp-like stress singularities without having to resort to full-scale numerical studies.
Journal ArticleDOI

Influence of residual stresses on fracture and delamination of thin hard coatings

TL;DR: In this article, the effect of the interface topography, coating thickness and elastic mismatch on the interfacial stresses is investigated. And the authors demonstrate that the high residual stress in ceramic coatings may cause local coating fracture and delamination at the tip of an edge or at rough substrate surfaces when the coating is thick relative to the edge radius or the surface topography.
References
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Journal ArticleDOI

The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems

TL;DR: In this paper, it is shown that to answer several questions of physical or engineering interest, it is necessary to know only the relatively simple elastic field inside the ellipsoid.
Journal ArticleDOI

The Phenomena of Rupture and Flow in Solids

TL;DR: In this article, the authors investigated the effect of surface scratches on the mechanical strength of solids, and some general conclusions were reached which appear to have a direct bearing on the problem of rupture, from an engineering standpoint, and also on the larger question of the nature of intermolecular cohesion.
Book

Micromechanics of defects in solids

TL;DR: In this paper, the authors present numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals using double kink mechanisms for discrete dislocations in BCCs.
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