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Kirill D Cherednichenko's Home Page
Kirill Cherednichenko
My curriculum vitae (in the PDF format)
Research interests:
Rigorous analysis of problems in mechanics
Homogenisation of partial differential equations and integral functionals
Applications of homogenisation to the mechanics of composite materials
Scale interaction effects (for example strain-gradient and
non-local effects) in the description of the behaviour of heterogeneous media
Wave propagation in solid mechanics and electromagnetism
Asymptotic methods in mechanics
Variational methods in the mechanics of ``microstructured'' media
Theories for the description of dislocations as agents of plastic flow
My research statement
Publications
Journal articles:
(with S. D. M. Adams, R. V. Craster and S. Guenneau) High-frequency spectral ananalysis of thin periodic acoustic strips: theory and numerics.
Accepted by European Journal of Applied Mathematics (2009)
An approach to constitutive modelling of elasto-plasticity via ensemble averaging of the dislocation transport.
Journal of the Mechanics and Physics of Solids 58(5), 798--809 (2010)
(with N. F. Britton, C. Carrillo and M. Mogie) Dynamic coexistence of sexual
and asexual invasion fronts via a system of integro-difference equations. Bulletin of Mathematical Biology
71(7), 1612--1625 (2009)
(with F. J. Sabina)
On the existence of waves guided by a cavity in an elastic layer.
Quarterly Journal of Mechanics and Applied Mathematics 62(3), 221-233 (2009)
(with G. W. Milton, N.-A. P. Nicorovici, R. C. McPhedran and Z. Jacob)
Solutions in folded geometries and associated cloaking due to anomalous
resonance. New Journal of Physics 10(11), 115021 (2008)
(with S. Guenneau)
Bloch-wave homogenisation for spectral asymptotic analysis of the periodic Maxwell
operator. Waves in Random and Complex Media 17, 627--651 (2007)
Asymptotic expansion of the boundary-layer type for
flexural waves along the curved edge of a Kirchhoff-Love plate.
Zapiski
Nauchnykh Seminarov POMI, 332, 286--298 (2006), in Russian. English version
in: J. Math. Sci. (N. Y.) 142 (6), 2682--2688 (2007).
Two-scale asymptotics for non-local
effects in composites with highly anisotropic fibres.
Asymptotic analysis, 49, 39--59 (2006) .
On propagation of attenuated Rayleigh
waves
along a fluid-solid interface of arbitrary shape. The
Quarterly Journal of Mechanics and Applied Mathematics 59,
75--94 (2006).
(with V. P. Smyshlyaev and V. V. Zhikov) Non-local
homogenised limits for composite media with highly anisotropic periodic
fibres.
Proceedings of the Royal Society of Edinburgh: Section A 136(1), 87--114 (2006).
On propagation of Scholte-Gogoladze
surface waves along a fluid-solid interface of arbitrary shape.
Zapiski
Nauchnykh Seminarov POMI 324, 229--247 (2005), in Russian. English version in:
J. Math. Sci. (N. Y.), 138(2), 5613--5622 (2006).
(with P. Padilla) On derivation of the
density
of states for periodic operators by the method of asymptotic expansion.
Proceedings of the Edinburgh Mathematical Society
48(1), 51-60 (2005).
(with V. P. Smyshlyaev) On full two-scale expansion of the solutions of nonlinear periodic rapidly oscillating
problems and higher-order homogenised variational problems.
Archive for Rational Mechanics and Analysis 174(3),
385--442 (2004).
(with V. M. Babich) On a differential equation
with a singular point of regular type and a large parameter. Integral
Transforms and Special Functions 11(2), 101--112 (2001).
(with V. P. Smyshlyaev) On rigorous derivation
of strain gradient effects in the overall behaviour of
periodic heterogeneous media. Journal
of the Mechanics and Physics of Solids
48(6--7), 1325-1357 (2000).
(with V. M. Babich) On Fock's type asymptotics
of Legendre functions. Integral Transforms and Special
Functions 5(1--2), 1--18 (1997).
Submitted papers:
(with M. Cherdantsev) Two-scale Gamma-convergence and its application to homogenisation of high-contrast variational integrals. Submitted to Archive for Rational Mechanics and Analysis (2010)
Preprints:
On some analogues of the double-porosity models and the associated
effect of micro-resonance.
Interrelations between the higher-gradient
and non-local effects in the overall behaviour of microstructured media.
Employer: Cardiff School of
Mathematics, Cardiff University
Job Title: Lecturer
Telephone: +44 2920 875540
Fax: +44 2920 874199
E-mail Address: cherednichenkokd@cardiff.ac.uk
Postal Address:
Cardiff School of Mathematics
Senghennydd Road
Cardiff
CF24 4AG
United Kingdom
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