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Dynamic weight functions are discussed, for arbitrary time-dependent loading of a plane semi-innnite crack extending at constant speed in an innnite isotropic elastic body. Then, the weight functionâ€¦ (More)

We derive the elastic properties of a cylindrical cloak for in-plane coupled shear and pressure waves. The cloak is characterized by a rank 4 elasticity tensor with 16 spatially varying entries whichâ€¦ (More)

- Mohamed Farhat, Stefan Enoch, SÃ©bastien Guenneau, Alexander B. Movchan
- Physical review letters
- 2008

We describe the first practical realization of a cylindrical cloak for linear surface liquid waves. This structured metamaterial bends surface waves radiated by a closely located acoustic source overâ€¦ (More)

The paper addresses a problem of partial fracture of a lattice by a propagating fault modelling a crack bridged by elastic fibres. It is assumed that the strength of bonds within the latticeâ€¦ (More)

We consider a heavy, uniform, elastic beam rested on periodically distributed supports as a simplified model of a bridge. The supports are subjected to a partial destruction propagating as a failureâ€¦ (More)

- Mohamed Farhat, SÃ©bastien Guenneau, Alexander B. Movchan, Stefan Enoch
- Optics express
- 2008

We analyze cloaking of transverse electric (TE) fields through homogenization of radially symmetric metallic structures. The two-dimensional circular cloak consists of concentric layers cut into aâ€¦ (More)

- Vladimir Maz'ya, Alexander B. Movchan, Michael J. Nieves
- Asymptotic Analysis
- 2007

We consider a Mode III lattice with an interface layer where the dynamic crack growth is caused by a localised sinusoidal wave. In the waveâ€“fracture scenario, the â€˜feeding waveâ€™ (here also called theâ€¦ (More)

- Vladimir Mazâ€™ya, Alexander B. Movchan
- 2006

Asymptotic formulae for Greenâ€™s kernels GÎµ(x,y) of various boundary value problems for the Laplace operator are obtained in regularly perturbed domains and certain domains with small singularâ€¦ (More)

- Ross C. McPhedran, Alexander B. Movchan, N. V. Movchan, Michele Brun, Melanie A. Smith
- Proceedings. Mathematical, physical, andâ€¦
- 2015

This paper discusses the properties of flexural waves governed by the biharmonic operator, and propagating in a thin plate pinned at doubly periodic sets of points. The emphases are on the design ofâ€¦ (More)