301 citations · 897 across the 43 of their papers we have counts for
12 papers · 1 filter
Eigenvalue problem in a solid with many inclusions: asymptotic analysis
V. G. Maz'ya, A. B. Movchan, M. J. Nieves
We construct the asymptotic approximation to the first eigenvalue and corresponding eigensolution of Laplace's operator inside a domain containing a cloud of small rigid inclusions…
Meso-scale models and approximate solutions for solids containing clouds of voids
Vladimir Maz'ya, Alexander Movchan, Michael Nieves
For highly perforated domains the paper addresses a novel approach to study mixed boundary value problems for the equations of linear elasticity in the framework of meso-scale appr…
Symmetry and resonant modes in platonic grating stacks
Stewart G Haslinger, Alexander B Movchan, Natasha V Movchan +1
We study the flexural wave modes existing in finite stacks of gratings containing rigid, zero-radius pins. We group the modes into even and odd classes, and derive dispersion equat…
Propagation of Slepyan's crack in a non-uniform elastic lattice
Michael Nieves, Alexander Movchan, Ian Jones +1
We model and derive the solution for the problem of a Mode I semi-infinite crack propagating in a discrete triangular lattice with bonds having a contrast in stiffness in the princ…
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…
Perturbation analysis of Mode III interfacial cracks advancing in a dilute heterogeneous material
Andrea Piccolroaz, Gennady Mishuris, Alexander Movchan +1
The paper addresses the problem of a Mode III interfacial crack advancing quasi-statically in a heterogeneous composite material, that is a two-phase material containing elastic in…