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Journal of Elasticity
Erschienen in: Journal of Elasticity 2/2015

01.02.2015

On the Influence of Adhesive Stress-Separation Laws on Elastic Stress Singularities

verfasst von: G. B. Sinclair

Erschienen in: Journal of Elasticity | Ausgabe 2/2015

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Abstract

The stresses occurring at the vertices of two elastic wedges joined together on a common planar interface are considered. The wedges are under the action of in-plane tension and shear, as well as antiplane shear loading. When the wedges are joined with perfectly bonded conditions, stress singularities abound. When, instead, the wedges are joined with adhesive stress-separation laws, asymptotic analysis then shows that, with appropriate care in the implementation of these laws, erstwhile singular configurations can be rendered nonsingular.
Vorheriger Artikel On the Construction and Properties of Weak Solutions Describing Dynamic Cavitation
Nächster Artikel Variational Formulation and Upper Bounds for Degenerate Scales in Plane Elasticity

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Fußnoten
1
Strictly \(k'_{\tau}\) depends on whether r is in \(\boldsymbol{\mathcal{R}}_{1}\) or \(\boldsymbol{\mathcal{R}}_{2}\): Because the associated terms in stresses are always of higher order than the dominant terms, we simplify results by ignoring this distinction.
 
2
When ϕ 1=ϕ 2 as here, singularity exponents are independent of μ 1/μ 2 because the asymptotics are insensitive as to what μ i is assigned to which ϕ i .
 
3
Despite τ rθ not being equal on θ=0 to τ rθ on θ=±π/2, equilibrium is still satisfied for a small element containing r=0 by virtue of infinite gradients in normal stresses there (see Reissner [42]).
 
4
Absent such reductions, not only are stress singularities removed from interface cracks but also stress concentrations.
 
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Metadaten
Titel
On the Influence of Adhesive Stress-Separation Laws on Elastic Stress Singularities
verfasst von
G. B. Sinclair
Publikationsdatum
01.02.2015
Verlag
Springer Netherlands
Erschienen in
Journal of Elasticity / Ausgabe 2/2015
Print ISSN: 0374-3535
Elektronische ISSN: 1573-2681
DOI
https://doi.org/10.1007/s10659-014-9493-2

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