Localised knife waves in a structured interface (2009)
Mishuris, Gennady, Movchan, A.B., Slepyan, L.I.
We consider a Mode III lattice with an interface layer where the dynamic crack growth is caused by a localised sinusoidal wave. In the wave–fracture scenario, the ‘feeding wave’ (here also...
Piccolroaz, A., Mishuris, Gennady, Movchan, A.B.
In this paper we address the vector problem of a 2D half-plane interfacial crack loaded by a general asymmetric distribution of forces acting on its faces. It is shown that the general integral...
Asymptotic model of fields in a thin-walled structure with crack-like defects (2009)
Zalipaev, V. V., Movchan, A. B., Jones, I. S.
The transition from two-dimensional (2D) wave propagation through the square periodic structure in anti-plane shear time-harmonic case to a discretised model of a 2D lattice with masses connected by...
Junction Conditions for Cracked Elastic Thin Solids Under Bending and Shear (2009)
Gei, M., Movchan, A. B., Jones, I. S.
The paper presents an asymptotic model of the spring-like behaviour of small elastic junctions within two-dimensional thin solids subjected to a flexural or shearing load. The approach employs the...
Symmetric and skew-symmetric weight functions in perturbation models of 2D interfacial cracks (2008)
Piccolroaz, A., Mishuris, G., Movchan, A. B.
In this paper we address the vector problem of a 2D half-plane interfacial crack loaded by a general asymmetric distribution of forces acting on its faces. It is shown that the general integral...
Dynamics of a bridged crack in a discrete lattice (2008)
Mishuris, Gennady, Movchan, A.B., Slepyan, L.I.
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 lattice...
Dynamical extraction of a single chain from a discrete lattice (2008)
Mishuris, Gennady, Movchan, A.B., Slepyan, L.I.
We consider a nontrivial anti-plane shear fracture problem for a double-crack configuration where the remote external load is applied to the extracted mass-spring chain and the displacement field is...
Models of Fracture of Cellular Monolith Structures (2007)
Y.A. Antipov, A.B. Movchan, S.T. Kolaczkowski
This work deals with homogenization models for cracks in lattice structures representing cross-sections of catalytic monolith combustors. An asymptotic approach is used to describe interaction of...
Duality Relations, Correspondences, and Numerical Results for Planar Elastic Composites (2007)
J. Helsing, G.W. Milton, A. B. Movchan
This paper addresses three topics relating to planar elastic composites with anisotropic phases. First, the duality relations of Berdichevski are generalized to a wider class of planar elastic media....
Dynamic Weight Functions for a Moving Crack II. Shear Loading (2007)
A. B. Movchan, J. R. Willis, Bath Ba Ay
Dynamic weight functions are constructed for general time--dependent shear loading of a plane semi--infinite crack propagating with constant speed in an infinite isotropic elastic body. The use of...
Green's Tensors and Lattice Sums for Elastostatics and Elastodynamics (2007)
A. B. Movchan, N. A. Nicorovici, R.C. McPhedran
We present expressions for the Green's tensors in terms of lattice sums for general two-dimensional arrays in both elastostatics and elastodynamics. We represent the lattice sums in...
Dynamic Weight Functions for a Moving Crack. I. Mode I Loading (2007)
Dynamic weight functions are discussed, for arbitrary time-dependent loading of a plane semi-infinite crack extending at constant speed in an infinite isotropic elastic body. Then, the weight...
correspondences, and numerical results for planar elastic composites
Zalipaev, V. V., Movchan, A. B., Jones, I. S.
Planar elasticity problems are considered for thin domains fixed along a small part of the end region boundary. The analysis involves two small parameters: the normalized thickness of the body and...
Mishuris, Gennady, Movchan, A.B., Bercial, J.P.
We present an asymptotic algorithm to solve a problem of wave propagation in a thin bi-material strip with an array of cracks situated at the interface between two materials. For small frequencies we...
Mishuris, Gennady, Piccolroaz, A., Movchan, A.B.
The paper addresses the problem of a semi-infinite plane crack along the interface between two isotropic half-spaces. Two methods of solution have been considered in the past: Lazarus and Leblond...
Piccolroaz, A., Mishuris, Gennady, Movchan, A.B.
The paper addresses the problem of a semi-infinite plane crack along the interface between two isotropic half-spaces. Two methods of solution have been considered in the past: Lazarus and Leblond...
High order asymptotic analysis of twisted electrostatic problems (2007)
Nicolet, A, Movchan, A B, Geuzaine, Christophe, Zolla, F, Guenneau, S
Waves and fracture in an inhomogeneous lattice structure (2007)
Mishuris, Gennady, Movchan, A.B., Slepyan, L.I.
We analyze a crack propagating in an inhomogeneous rectangular lattice in the state of anti-plane shear. The filtering properties of such a lattice are linked to the energy dissipation due to waves...
Mishuris, Gennady, Movchan, A.B., Bercial, J.P.
We present an asymptotic algorithm to solve a problem of wave propagation in a thin bi-material strip with an array of cracks situated at the interface between two materials. For small frequencies we...
Steady-state motion of a Mode-III crack on imperfect interfaces (2006)
Mishuris, Gennady, Movchan, N.V., Movchan, A.B.
The aim of the present paper is to analyse the behaviour of the stress and displacement fields in the vicinity of the tip of a crack moving along a bi-material interface. For simplicity, we consider...
Perturbation of a dynamic crack in an infinite strip (2005)
Movchan, N. V., Movchan, A. B., Willis, J. R.
This paper presents an asymptotic analysis of a dynamic problem of two-dimensional elasticity for a crack propagating in an infinite strip. The sides of the elastic strip are subjected to Dirichlet...
Mathematical modelling of heat transfer in a catalytic reformer (2005)
Selsil, A., Movchan, N. V., Movchan, A. B., Kolaczkowski, S. T., Awdry, S.
In this work we analyse heat transfer in a system of channels connected by thin conducting walls. The channels are packed with catalytic pellets that promote exothermic catalytic combustion reactions...
Mathematical modelling of heat transfer in a catalytic reformer (2004)
Selsil, A., Movchan, N. V., Movchan, A. B., Kolaczkowski, S. T., Awdry, S.
In this work we analyse heat transfer in a system of channels connected by thin conducting walls. The channels are packed with catalytic pellets that promote exothermic catalytic combustion reactions...
Low frequency electromagnetic waves in periodic structures (2004)
Guenneau, S, Nicolet, A, Geuzaine, Christophe, Movchan, A B, Zolla, F
Mathematical modelling of heat transfer in a catalytic reformer (2004)
Selsil, A., Movchan, N. V., Movchan, A. B., Kolaczkowski, S. T., Awdry, S.
In this work we analyse heat transfer in a system of channels connected by thin conducting walls. The channels are packed with catalytic pellets that promote exothermic catalytic combustion reactions...
Sonic band gaps in PCF preforms: enhancing the interaction of sound and light (2003)
Russell, P. S., Marin, E., Diez, A., Guenneau, S., Movchan, A. B.
Vibrations of Lattice Structures and Phononic Band Gaps (2003)
Martinsson, P. G., Movchan, A. B.
Elastic waves in lattice structures are considered. The propagating modes as well as filtering properties of lattices are analysed. Special attention is paid to the connection between...
On Oscillation of Inhomogeneous Fibres with Imperfect Interfaces (2001)
Selsil, Ö., Movchan, A. B., Halvorsen, S. A.
This work deals with an asymptotic model of oscillation of an inhomogeneous fibre containing a layer of imperfect interface (thin adhesive layer). We derive a lower‐dimensional model and study...
Fields in Non-Degenerate 1D-3D Elastic Multi-Structures (2001)
Kozlov, V.A., Maz'Ya, V.G., Movchan, A.B.
We analyse 1D–3D elastic multi‐structures defined as solids involving finite‐size three‐dimensional elastic regions connected with thin rods. In the limit, when the thickness...
ASYMPTOTIC ANALYSIS OF THE REINFORCEMENT OF A BRITTLE CRACK BY BRIDGING FIBRES (1993)
The subject of the paper is the cracking of a brittle matrix reinforced by unidirectional fibres. A crack is introduced into the matrix, transverse to the fibres, which bridge the crack and tend to...
MOVCHAN, A. B., NAZAROV, S. A.
The present paper deals with asymptotic representations of solutions to plane and three-dimensional elasticity problems in a neighbourhood of the tip of a sharp inclusion. In a two-dimensional case...