On rigorous derivation of strain gradient effects in the overall behaviour of periodic heterogeneous media VP Smyshlyaev, KD Cherednichenko Journal of the Mechanics and Physics of Solids 48 (6-7), 1325-1357, 2000 | 288 | 2000 |
The role of strain gradients in the grain size effect for polycrystals VP Smyshlyaev, NA Fleck Journal of the Mechanics and Physics of Solids 44 (4), 465-495, 1996 | 215 | 1996 |
A hybrid numerical-asymptotic boundary integral method for high-frequency acoustic scattering V Domínguez, IG Graham, VP Smyshlyaev Numerische Mathematik 106 (3), 471-510, 2007 | 134 | 2007 |
Stability and error estimates for Filon–Clenshaw–Curtis rules for highly oscillatory integrals V Dominguez, IG Graham, VP Smyshlyaev IMA journal of numerical analysis 31 (4), 1253-1280, 2011 | 131 | 2011 |
Propagation and localization of elastic waves in highly anisotropic periodic composites via two-scale homogenization VP Smyshlyaev Mechanics of Materials 41 (4), 434-447, 2009 | 129 | 2009 |
Non-local homogenized limits for composite media with highly anisotropic periodic fibres KD Cherednichenko, VP Smyshlyaev, VV Zhikov Proceedings of the Royal Society of Edinburgh Section A: Mathematics 136 (1 …, 2006 | 111 | 2006 |
Diffraction by conical surfaces at high frequencies VP Smyshlyaev Wave motion 12 (4), 329-339, 1990 | 89 | 1990 |
On evaluation of the diffraction coefficients for arbitrary" nonsingular" directions of a smooth convex cone BA Samokish, DB Dement'ev, VP Smyshlyaev, VM Babich SIAM Journal on Applied Mathematics 60 (2), 536-573, 2000 | 80 | 2000 |
On the relation of a three-well energy VP Smyshlyaev, JR Willis Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 1999 | 75 | 1999 |
Self-consistent analysis of waves in a matrix-inclusion composite—I. Aligned spheroidal inclusions FJ Sabina, VP Smyshlyaev, JR Willis Journal of the Mechanics and Physics of Solids 41 (10), 1573-1588, 1993 | 69 | 1993 |
Multi-scale modeling of polycrystal plasticity: a workshop report GH Campbell, SM Foiles, H Huang, DA Hughes, WE King, DH Lassila, ... Materials Science and Engineering: A 251 (1-2), 1-22, 1998 | 62 | 1998 |
A new frequency‐uniform coercive boundary integral equation for acoustic scattering EA Spence, SN Chandler‐Wilde, IG Graham, VP Smyshlyaev Communications on Pure and Applied Mathematics 64 (10), 1384-1415, 2011 | 58 | 2011 |
Bounds and estimates for linear composites with strain gradient effects VP Smyshlyaev, NA Fleck Journal of the Mechanics and Physics of Solids 42 (12), 1851-1882, 1994 | 58 | 1994 |
The high-frequency diffraction of electromagnetic waves by cones of arbitrary cross sections VP Smyshlyaev SIAM Journal on Applied Mathematics 53 (3), 670-688, 1993 | 58 | 1993 |
Homogenization of spectral problems in bounded domains with doubly high contrasts NO Babych, IV Kamotski, VP Smyshlyaev arXiv preprint arXiv:0711.2405, 2007 | 56 | 2007 |
Numerical calculation of the diffraction coefficients for an arbitrary shaped perfectly conducting cone VM Babich, VP Smyshlyaev, DB Dement'ev, BA Samokish IEEE transactions on antennas and propagation 44 (5), 740, 1996 | 52 | 1996 |
On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating problems and higher-order homogenised variational problems KD Cherednichenko, VP Smyshlyaev Archive for rational mechanics and analysis 174 (3), 385-442, 2004 | 48 | 2004 |
Coercivity of Combined Boundary Integral Equations in High‐Frequency Scattering EA Spence, IV Kamotski, VP Smyshlyaev Communications on Pure and Applied Mathematics 68 (9), 1587-1639, 2015 | 47 | 2015 |
Memory effect in homogenization of a viscoelastic Kelvin–Voigt model with time-dependent coefficients Z Abdessamad, I Kostin, G Panasenko, VP Smyshlyaev Mathematical Models and Methods in Applied Sciences 19 (09), 1603-1630, 2009 | 39 | 2009 |
A ‘non-local’variational approach to the elastic energy minimalization of martensitic polycrystals VP Smyshlyaev, JR Willis Proceedings of the Royal Society of London. Series A: Mathematical, Physical …, 1998 | 39 | 1998 |