Solvability of the Laplace equation in a solid with boundary reinforcement

Sigaeva, Taisiya; Schiavone, Peter

doi:10.1007/s00033-013-0359-4

Search citation statements

Order By: Relevance

Paper Sections

Select...

Anti-plane Interface Crack1

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2014

2015

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

(1 citation statement)

References 6 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Using the corresponding theory of a reinforced surface developed for anti-plane strain in [10] and arguments similar to those presented above for the case of plane strain, the leading-order solution in this case is described by the boundary conditions [w(r, 0)] = 0, [σ 23 (r, 0)] = 0,…”

Section: Anti-plane Interface Crackmentioning

confidence: 99%

The effect of surface stress on an interface crack in linearly elastic materials

Sigaeva

Schiavone

2014

Mathematics and Mechanics of Solids

View full text Add to dashboard Cite

We consider an interface crack whose crack faces are coated with a thin reinforcing film of separate elastic material. We obtain asymptotic solutions, which, in the case of plane elasticity, demonstrate that the addition of the thin film effectively eliminates the well-known oscillatory behavior of the displacement and stress fields in the vicinity of the crack tip leading to a strong square-root stress singularity. In the case of anti-plane elasticity, the effect of the reinforcement is to reduce the order of the stress singularity at the crack tip. In addition, we demonstrate that the reinforcement induces a displacement field which is smooth locally and bounded at the crack tip.

show abstract

Section: Anti-plane Interface Crackmentioning

confidence: 99%