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Accuracy of the multipole expansion applied to a sphere in a creeping flow parallel to a wall

ML Ekiel-Jeżewska and E Wajnryb.

in The Quarterly Journal of Mechanics and Applied Mathematics

November 2006; p ublished online November 2006 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 6446 words.

An example system is studied to discuss precision of the multipole expansion, applied to determine forces exerted on particles by a viscous low-Reynolds-number fluid flow. A single sphere...

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Acoustic diffraction by a semi-infinite plane with different face impedances

PG Barton and AD Rawlins.

in The Quarterly Journal of Mechanics and Applied Mathematics

September 1999; p ublished online September 1999 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

The problem of plane wave scattering by a half-plane with different impedance boundary conditions on each face is examined using the Wiener-Hopf-Hilbert technique. For the special case where...

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Acoustic quasi-modes in slowly varying cylindrical tubes

A. T. I. Adamou, D. Gridin and R. V. Craster.

in The Quarterly Journal of Mechanics and Applied Mathematics

August 2005; p ublished online August 2005 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

Guided wave propagation in slowly varying elastic bars is of increasing importance in the non-destructive evaluation of structures. This paper develops an asymptotic theory for the simpler...

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Acoustic Radiation Properties of an Elastic Plate with an Infinite Baffle and Cavity

F. G. Leppington and E. G. Broadbent.

in The Quarterly Journal of Mechanics and Applied Mathematics

November 2002; p ublished online November 2002 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

A cavity (0 < x < a, 0 < y < b, −d < z < 0) set in an otherwise rigid plane surface (z = 0) is covered by a rectangular elastic plate (of dimensions a × b) that is simply supported at its...

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Acoustic scattering by a pair of poroelastic spheres

Seyyed M. Hasheminejad and Seyyed A. Badsar.

in The Quarterly Journal of Mechanics and Applied Mathematics

February 2004; p ublished online February 2004 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

An exact analysis for sound scattering by two interacting fluid‐saturated porous‐elastic spheres that are insonified by plane waves at arbitrary angles of incidence is outlined. The novel...

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Acoustic scattering from semi-infinite, rigid plates: a new technique

DA James.

in The Quarterly Journal of Mechanics and Applied Mathematics

May 1999; p ublished online May 1999 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

A plane sound wave is obliquely incident on a semi-infinite, rigid plate (which may or may not have finite thickness). This problem has been studied previously, but it is thought that the...

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Active cloaking of inclusions for flexural waves in thin elastic plates

J. O'Neill, Ö. Selsil, R.C. McPhedran, A.B. Movchan and N.V. Movchan.

in The Quarterly Journal of Mechanics and Applied Mathematics

August 2015; p ublished online June 2015 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 6500 words.

We present a new method to create an active cloak for a single clamped inclusion in a Kirchhoff plate in the presence of flexural waves. In order to cloak this inclusion, we place control...

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Active cloaking of resonant coated inclusions for waves in membranes and Kirchhoff plates

J. O'Neill, Ö. Selsil, R. C. McPhedran, A. B. Movchan, N. V. Movchan and C. Henderson Moggach.

in The Quarterly Journal of Mechanics and Applied Mathematics

May 2016; p ublished online April 2016 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 11280 words.

The dynamic response of a coated inclusion is considered in the context of active cloaking. The active cloak is achieved for a coated inclusion in the presence of flexural and membrane...

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Alternative integral equations for the iterative solution of acoustic scattering problems

X. Antoine and M. Darbas.

in The Quarterly Journal of Mechanics and Applied Mathematics

February 2005; p ublished online February 2005 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

This paper addresses the first step of the derivation of well-conditioned integral formulations for the iterative solution of exterior acoustic boundary-value problems. These new...

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An alternative three-term decomposition for single crystal deformation motivated by non-linear elastic dislocation solutions

J. D. Clayton.

in The Quarterly Journal of Mechanics and Applied Mathematics

February 2014; p ublished online January 2014 .

Journal Article. Subjects: Applied Mathematics; Mathematical and Statistical Physics. 0 words.

A new third term is incorporated within the multiplicative decomposition of the deformation gradient in the context of geometrically non-linear mechanics of defective elastic-plastic...

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