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20112017
most citedEigenfrequency correction of Bloch-Floquet waves in a thin periodic bi-material strip with cracks lying on perfect and imperfect interfaces

10 citations · 19 across the 6 of their papers we have counts for

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math-ph2017

Interfacial crack integral identities incorporating mean displacement

Adam Vellender

A semi-infinite crack loaded by a general asymmetric system of forces in an infinite bi-material plane is considered. A boundary integral formulation is derived using the fundament…

math-ph2014

Integral identities for an interfacial crack in an anisotropic bimaterial with an imperfect interface

Lewis Pryce, Adam Vellender, Alexander Zagnetko

We study a crack lying along an imperfect interface in an anisotropic bimaterial. A method is devised where known weight functions for the perfect interface problem are used to obt…

math-ph2013★ 2 cited

Perturbation analysis for an imperfect interface crack problem using weight function techniques

A. Vellender, G. Mishuris, A. Piccolroaz

We analyse a problem of anti-plane shear in a bi-material plane containing a semi-infinite crack situated on a soft imperfect interface. The plane also contains a small thin inclus…

math-ph2011★ 10 cited

Eigenfrequency correction of Bloch-Floquet waves in a thin periodic bi-material strip with cracks lying on perfect and imperfect interfaces

A. Vellender, G. S. Mishuris

We analyse an asymptotic low-dimensional model of anti-plane shear in a thin bi-material strip containing a periodic array of interfacial cracks. Both ideal and non-ideal interface…

math-ph2011★ 7 cited

Weight function in a bimaterial strip containing an interfacial crack and an imperfect interface. Application to Bloch-Floquet analysis in a thin inhomogeneous structure with cracks

A. Vellender, G. S. Mishuris, A. B. Movchan

We define a weight function in a bi-material strip containing a semi-infinite crack and an imperfect interface and analyse a problem of anti-plane shear. We then present an asympto…