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

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

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

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

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

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

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

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

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

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

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...