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Andrianov, Igor Vasil’evich

Author ID: andrianov.igor-vasilevich Recent zbMATH articles by "Andrianov, Igor Vasil’evich"
Published as: Andrianov, I. V.; Andrianov, Igor V.; Andrianov, Igor; Andrianov, I.; Andrianov, Igor Vasil’evich; Adrianov, Igor V.; Adrianov, Igor
External Links: ORCID · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru · dblp · GND · IdRef
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Co-Authors

19 single-authored
51 Awrejcewicz, Jan
37 Danishevskiĭ, Vladislav Valentinovich
22 Weichert, Dieter
17 Starushenko, Galina A.
12 Tokarzewski, Stanisław
8 Kholod, Elena G.
8 Manevich, Leonid Isaakovich
8 Topol, Heiko
7 Ivankov, A. O.
6 Mikhlin, Yuri Vladimirovich
5 Gendelman, Oleg V.
5 Pasechnik, A. N.
4 Bolshakov, Vladimir I.
4 Kolpakov, Alexander G.
4 Pilipchuk, Valery N.
4 Rogerson, Graham A.
4 Shevchenko, V. V.
3 Bulanova, N. S.
3 Kalamkarov, Alexander L.
3 Kaplunov, Julius D.
3 Olevs’kyy, Victor Isaakovich
2 Diskovsky, Alexander A.
2 Gałka, Andrzej
2 Kirichek, Yurii A.
2 Koblik, Steve G.
2 Kovaleva, Margarita Alekseevna
2 Krizhevsky, G. A.
2 Markert, Bernd
2 Nerubajlo, B. V.
2 Obraztsov, Ivan Filippovich
2 Olevs’ka, Yuliia Borysivna
2 Olevskyi, Viktor I.
2 Porubov, Alexey V.
2 Ryzhkov, Oleksandr I.
2 Sedin, V. L.
2 Vakakis, Alexander F.
2 Zarubinskaya, M. A.
1 Abramian, Andrei K.
1 Andrianov, Igor I.
1 Argatov, Ivan I.
1 Astashev, Vladimir K.
1 Ausheva, Nataliia M.
1 Babitsky, Vladimir I.
1 Bławzdziewicz, Jerzy
1 Bochkarev, Andreĭ Vladimirovich
1 Borodin, Evgenij I.
1 Chernetskyy, Vladimir
1 Diskovskyy, Alexandar A.
1 Emaci, Edward
1 Gaiko, Valery A.
1 Guillet, Alain
1 Hazewinkel, Michiel
1 Ivankov, Andrey
1 Koblik, S. G.
1 Konashenko, S. I.
1 Kudaibergenov, A. K.
1 Kushnierov, Ievgen A.
1 Kvitka, Sergiy A.
1 Lesnichaya, V. A.
1 Linnik, R. Ya.
1 Luyt, Adriaan S.
1 Manevich, Arkadiy I.
1 Markert, Berndt
1 Mil’tsin, Anatoliy M.
1 Mityushev, Vladimir V.
1 Mogilevich, Lev I.
1 Oshmyan, Victor G.
1 Pareige, Philippe
1 Pasichnik, Irina V.
1 Piskunov, V. I.
1 Pletin, Vladislav V.
1 Prikazchikov, Danila A.
1 Rakin, Sergei I.
1 Ryzhkov, Alexander I.
1 Sedin, W.
1 Selyanskij, V. K.
1 Shamrovskii, A. D.
1 Smirnov, Valeri V.
1 Starosvetsky, Yuli
1 Syerko, Elena
1 Tokazhevskij, S.
1 van Horssen, Wilhem Teunis
1 Verbonol, V. M.
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Serials

15 Journal of Sound and Vibration
10 Acta Mechanica
9 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
8 Mathematical Problems in Engineering
7 Doklady Akademii Nauk Ukrainskoĭ SSR, Seriya A
7 Nonlinear Dynamics
5 Wave Motion
4 International Journal of Engineering Science
4 Prikladnaya Matematika i Mekhanika
4 Facta Universitatis. Series Mechanics, Automatic Control and Robotics
4 Physics-Doklady
4 Mathematics and Mechanics of Solids
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 European Journal of Mechanics. A. Solids
3 Journal of Applied Mathematics and Mechanics
3 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
3 Journal of Soviet Mathematics
3 Dopovidi Akademiï Nauk Ukraïni
3 Advanced Structured Materials
2 International Journal of Heat and Mass Transfer
2 Physics Letters. A
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Soviet Applied Mechanics
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Prikladnaya Mekhanika
2 Soviet Physics. Doklady
2 Archive of Applied Mechanics
2 International Applied Mechanics
2 Dinamicheskie Sistemy (Kiev)
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Acta Mechanica Sinica
2 International Journal of Structural Stability and Dynamics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Archives of Mechanics
1 International Journal of Mechanical Sciences
1 International Journal of Non-Linear Mechanics
1 International Journal of Solids and Structures
1 Mechanika Teoretyczna i Stosowana
1 Quarterly Journal of Mechanics and Applied Mathematics
1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
1 Mechanics Research Communications
1 Acta Applicandae Mathematicae
1 Applied Mathematics Letters
1 Numerical Algorithms
1 Journal of Natural Geometry
1 U.S.S.R. Computational Mathematics and Mathematical Physics
1 Systems Analysis, Modelling Simulation
1 Vychislitel’naya i Prikladnaya Matematika
1 Doklady Mathematics
1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky
1 Computer Assisted Mechanics and Engineering Sciences
1 Matematicheskoe Modelirovanie
1 Journal of Applied Mathematics
1 Mathematics and its Applications (Dordrecht)
1 Springer Series in Synergetics
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Proceedings of the Estonian Academy of Sciences
1 Nelineĭnaya Dinamika
1 Foundations of Engineering Mechanics
1 Russian Journal of Nonlinear Dynamics

Publications by Year

Citations contained in zbMATH Open

114 Publications have been cited 568 times in 416 Documents Cited by Year
Higher-order asymptotic homogenization and wave propagation in periodic composite materials. Zbl 1153.74024
Andrianov, Igor V.; Bolshakov, Vladimir I.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
60
2008
Asymptotic approaches in nonlinear dynamics. New trends and applications. Zbl 0910.70001
Awrejcewicz, Jan; Andrianov, I. V.; Manevitch, L. I.
46
1998
Improved continuous models for discrete media. Zbl 1191.76102
Andrianov, I. V.; Awrejcewicz, J.; Weichert, D.
36
2010
Averaging method in statics and dynamics of ribbed shells (Metod usredneniya v statike i dinamike rebristykh obolochek). Zbl 0576.73054
Andrianov, I. V.; Lesnichaya, V. A.; Manevich, L. I.
18
1985
Construction of periodic solutions to partial differential equations with nonlinear boundary conditions. Zbl 0977.35031
Andrianov, Igor; Awrejcewicz, Jan
16
2000
Mechanics of periodically heteregeneous structures. Zbl 1006.74001
Manevitch, L. I.; Andrianov, I. V.; Oshmyan, V. G.
16
2002
Homogenization of a 1D nonlinear dynamical problem for periodic composites. Zbl 1316.74043
Andrianov, I. V.; Danishevs’kyy, V. V.; Topol, H.; Weichert, D.
14
2011
Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions. Zbl 1027.74055
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
13
2002
Asymptotic methods in the theory of plates with mixed boundary conditions. Zbl 1286.76004
Andrianov, Igor V.; Awrejcewicz, Jan; Danishevs’kyy, Vladyslav; Ivankov, Andrey
13
2014
Transitions from strongly to weakly nonlinear motions of damped nonlinear oscillators. Zbl 1013.70017
Salenger, G.; Vakakis, A. F.; Gendelman, Oleg; Manevitch, Leonid; Andrianov, Igor
12
1999
Oscillations of non-linear system with restoring force close to \(\mathrm{sign}(x)\). Zbl 1237.34052
Awrejcewicz, Jan; Andrianov, I. V.
12
2002
Asymptotic study of imperfect interfaces in conduction through a granular composite material. Zbl 1211.74056
Andrianov, Igor V.; Bolshakov, Vladimir I.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
11
2010
Study of two-dimensional axisymmetric breathers using Padé approximants. Zbl 0883.35106
Emaci, E.; Vakakis, A. F.; Andrianov, I. V.; Mikhlin, Yu.
10
1997
Dynamic homogenization and wave propagation in a nonlinear 1D composite material. Zbl 1360.74129
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Ryzhkov, Oleksandr I.; Weichert, Dieter
10
2013
Asymptotic approach for non-linear periodical vibrations of continuous structures. Zbl 1237.74044
Andrianov, I. V.; Danishevs’kyy, V. V.
8
2002
Nonlinear waves in diatomic crystals. Zbl 1454.74095
Porubov, A. V.; Andrianov, I. V.
8
2013
Simple estimation on effective transport properties of a random composite material with cylindrical fibres. Zbl 1157.74033
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
8
2008
Homogenization procedure and Padé approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross-section. Zbl 0953.74054
Andrianov, I. V.; Starushenko, G. A.; Danishevs’kyy, V. V.; Tokarzewski, S.
7
1999
Asymptotic methods in the theory of vibrations of beams and panels. (Асимптотические методы в теории колебаний балок и пластин.) Zbl 1228.74001
Andrianov, I. V.; Danishevskij, V. V.; Ivankov, A. O.
7
2010
Artificial small parameter method-solving mixed boundary value problems. Zbl 1200.74069
Andrianov, I. V.; Awrejcewicz, J.; Ivankov, A.
7
2005
Continuous models for 1D discrete media valid for higher-frequency domain. Zbl 1345.70041
Andrianov, I. V.; Awrejcewicz, J.
7
2005
Boundary layers in fibrous composite materials. Zbl 1398.74051
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
7
2011
Continuous models for chain of inertially linked masses. Zbl 1069.70011
Andrianov, Igor V.; Awrejcewicz, Jan
6
2005
Propagation of Floquet-Bloch shear waves in viscoelastic composites: analysis and comparison of interface/interphase models for imperfect bonding. Zbl 1383.74048
Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Topol, Heiko; Rogerson, Graham A.
6
2017
Asymptotical mechanics of composites. Modelling composites without FEM. Zbl 1383.74001
Andrianov, Igor V.; Awrejcewicz, Jan; Danishevskyy, Vladyslav V.
6
2018
On the improved Kirchhoff equation modelling nonlinear vibrations of beams. Zbl 1106.74030
Andrianov, I. V.; Awrejcewicz, J.
6
2006
Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear. Zbl 1079.74601
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Guillet, Alain; Pareige, Philippe
6
2005
Quasifractional approximants in the theory of composite materials. Zbl 0958.80001
Andrianov, Igor; Danishevsky, Vladyslav; Tokarzewski, Stanisław
5
2000
Effective coefficients for real non-linear and fictitious linear temperature-dependent periodic composites. Zbl 1342.74021
Tokarzewski, S.; Andrianov, I.
5
2001
Analytical study of the load transfer in fibre-reinforced 2D composite materials. Zbl 1169.74369
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
5
2008
A role of initial conditions choice on the results obtained using different perturbation methods. Zbl 1237.34050
Andrianov, I.; Awrejcewicz, J.
5
2000
Homogenization of viscoelastic composites with fibres of diamond-shaped cross-section. Zbl 1401.74240
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Kholod, Elena G.
5
2012
Edge-localized effects in buckling and vibrations of a shell with free in circumferential direction ends. Zbl 1066.74031
Andrianov, I. V.
4
2004
Two-point Padé approximants for formal Stieltjes series. Zbl 0814.41015
Tokarzewski, Stanisław; Bławzdziewicz, Jerzy; Andrianov, I. V.
4
1994
A modified Adomian’s decomposition method. Zbl 0974.34013
Andrianov, I. V.; Olevskij, V. I.; Tokazhevskij, S.
4
1998
Asymptotic decomposition in the problem of joined elastic beams. Zbl 1301.74033
Kolpakov, Alexander G.; Andrianov, Igor V.
4
2014
An asymptotic strategy to couple homogenized elastic structures. Zbl 1423.74789
Kolpakov, Alexander G.; Andrianov, Igor V.; Rakin, Sergei I.; Rogerson, Graham A.
4
2018
Asymptotical behaviour of a system with damping and high power-form non-linearity. Zbl 1236.34080
Andrianov, Igor V.; Awrejcewicz, Jan
4
2003
Asymptotology. Ideas, methods, and applications. With help from Michiel Hazewinkel. With a foreword by V. M. Alexandrov. Appendix C by Alexander D. Shamrovsky and Appendix D by Rem G. Barantsev. Zbl 1148.34318
Adrianov, Igor V.; Manevitch, Leonid I.
4
2002
Numerical investigation of 1D continuum dynamical models of discrete chain. Zbl 1256.65068
Andrianov, I. V.; Starushenko, G. A.; Weichert, D.
4
2012
Asymptotic analysis of perforated shallow shells. Zbl 1423.74574
Kalamkarov, Alexander L.; Andrianov, Igor V.; Weichert, Dieter
4
2012
Asymptotic approaches to strongly nonlinear dynamical systems. Zbl 1057.34051
Andrianov, Igor; Awrejcewicz, Jan
4
2003
Local stress distribution in composites for pulled-out fibers with axially varying bonding. Zbl 1440.74006
Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Topol, Heiko
4
2020
Linear and nonlinear waves in microstructured solids. Homogenization and asymptotic approaches. Zbl 1532.74001
Andrianov, Igor V.; Awrejcewicz, Jan; Danishevskyy, Vladyslav
4
2021
Approximate equations of axisymmetric vibrations of cylindrical shells. Zbl 0486.73058
Andrianov, I. V.; Manevich, L. I.
3
1981
Asymptotic methods in the structural mechanics of thin-walled structures. (Асимптотические методы в строительной механике тонкостенных конструкций.) Zbl 0914.73007
Obraztsov, I. F.; Nerubaĭlo, B. V.; Andrianov, I. V.
3
1991
On the theory of Berger plates. Zbl 0527.73035
Andrianov, I. V.
3
1983
Three-phase model for a composite material with cylindrical circular inclusions. I: Application of the boundary shape perturbation method. Zbl 1423.74046
Kalamkarov, Alexander L.; Andrianov, Igor V.; Starushenko, Galina A.
3
2014
Three-phase model for a composite material with cylindrical circular inclusions. II: Application of Padé approximants. Zbl 1423.74047
Kalamkarov, Alexander L.; Andrianov, Igor V.; Starushenko, Galina A.
3
2014
Homogenization procedure and Padé approximations in the theory of composite materials with parallelepiped inclusions. Zbl 0918.73007
Andrianov, I. V.; Starushenko, G. A.; Tokarzewski, S.
3
1998
Asymptotical methods for computing composite materials with the calculation of interior structures. (Асимптотические методы расчета композитных метериалов с учетом внутренней структуры.) Zbl 1172.74001
Bol’shakov, V. I.; Andrianov, I. V.; Danishevskij, V. V.
3
2008
Analysis of micro-structural effects on phononic waves in layered elastic media with periodic nonsmooth coordinates. Zbl 1469.74089
Pilipchuk, Valery N.; Andrianov, Igor V.; Markert, Bernd
3
2016
Nonlinear free vibration of shallow cylindrical shell by Bolotin’s asymptotic method. Zbl 0958.74507
Andrianov, I. V.; Kholod, E. G.
3
1993
Solutions in the Fourier series form, Gibbs phenomena and Padé approximants. Zbl 1237.34011
Andrianov, I.; Awrejcewicz, J.
3
2001
Dynamics of a string moving with time-varying speed. Zbl 1243.74078
Andrianov, Igor V.; Awrejcewicz, Jan
3
2006
The generalized Schamel equation in nonlinear wave dynamics of cylindrical shells. Zbl 1430.37087
Zemlyanukhin, A. I.; Andrianov, I. V.; Bochkarev, A. V.; Mogilevich, L. I.
3
2019
Methods of asymptotic analysis and synthesis in the nonlinear dynamics and mechanics of deformable solids. (Методы асимптотического анализа и синтеза в нелинейной динамике и механике деформируемого твердого тела.) Zbl 1348.74002
Andrianov, Igor V.; Awrejcewicz, Jan
3
2013
Methods of small and large \(\delta\) in the nonlinear dynamics – a comparative analysis. Zbl 0963.70019
Andrianov, I. V.; Awrejcewicz, J.
2
2000
Construction of simplified equations of nonlinear dynamics of plates and shallow shells by the averaging method. Zbl 0616.73058
Andrianov, I. V.
2
1986
Quasifractional approximants for matching small and large \(\delta\) approaches. Zbl 1028.35040
Andrianov, Igor V.; Awrejcewicz, Jan
2
2003
On an elastic dissipation model as continuous approximation for discrete media. Zbl 1427.74053
Andrianov, I. V.; Awrejcewicz, J.; Ivankov, A. O.
2
2006
The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell. Zbl 1397.74133
Andrianov, I. V.; Kaplunov, J.; Kudaibergenov, A. K.; Manevitch, L. I.
2
2018
Exact and “exact” formulae in the theory of composites. Zbl 1405.74008
Andrianov, Igor; Mityushev, Vladimir
2
2018
Load-transfer from an elastic fibre to isotropic half-space with coating. Zbl 1193.93112
Andrianov, Igor V.; Awrejcewicz, Jan; Weichert, Dieter
2
2009
Asymptotic solution of the theory of shell boundary value problem. Zbl 1149.74038
Andrianov, I. V.; Awrejcewicz, J.
2
2007
Spatial localization of linear elastic waves in composite materials with defects. Zbl 1303.74019
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Kushnierov, Ievgen A.
2
2014
Buckling analysis of discretely stringer-stiffened cylindrical shells. Zbl 1192.74115
Andrianov, I. V.; Verbonol, V. M.; Awrejcewicz, J.
2
2006
Analysis of jump phenomena using Padé approximations. Zbl 1237.34018
Andrianov, Igor V.; Awrejcewicz, Jan
2
2003
Analytical approximations of the period of a generalized nonlinear van der Pol oscillator. Zbl 1243.34019
Andrianov, Igor V.; van Horssen, Wim T.
2
2006
Modified Muravskii model for elastic foundations. Zbl 1344.74023
Andrianov, Igor V.; Kirichek, Yurii A.; Awrejcewicz, Jan
2
2011
Load transfer in fibre-reinforced composites with viscoelastic matrix: An analytical study. Zbl 1184.74014
Andrianov, I. V.; Topol, H.; Weichert, D.
2
2009
Asymptotic construction of nonlinear normal modes for continuous systems. Zbl 1170.74331
Andrianov, I. V.
2
2008
On the absence of the Eshelby property for slender non-ellipsoidal inhomogeneities. Zbl 1138.74012
Andrianov, Igor V.; Argatov, Ivan I.; Weichert, Dieter
2
2008
Two-point Padé approximants and their applications to in solving mechanical problems. Zbl 0953.74619
Andrianov, Igor; Mikhlin, Yuri; Tokarzewski, Stanisław
2
1997
Application of quasi-continuum models for perturbation analysis of discrete kinks. Zbl 1247.35119
Andrianov, Igor V.; Kholod, Elena G.; Weichert, Dieter
2
2012
Continuum approximation for high-frequency oscillations of a chain and composite equations. Zbl 0756.70028
Obraztsov, I. F.; Andrianov, I. V.; Nerubajlo, B. V.
2
1991
Optimal design of a circular corrugated diaphragm using the homogenization approach. Zbl 1373.74080
Andrianov, Igor V.; Diskovsky, Alexander A.; Syerko, Elena
2
2017
Asymptotics of nonlinear dynamical systems with high degree of nonlinearity. Zbl 1031.37020
Andrianov, I. V.
2
2002
The specific features of the limiting transition from a discrete elastic medium to a continuous one. Zbl 1066.34507
Andrianov, I. V.
2
2002
Load-transfer from fibre to anisotropic half-space for dilute composites. Zbl 1155.74320
Andrianov, I. V.; Danishevs’kyy, V. V.; Weichert, D.
2
2008
Solution of mixed problems of the plate bending theory by a modified method of perturbation of the form of boundary conditions. Zbl 0632.73012
Andrianov, I. V.; Ivankov, A. O.
1
1988
Application of the Padé approximant in the method of introducing a parameter when investigating biharmonic equations with complex boundary conditions. Zbl 0648.65081
Andrianov, I. V.; Ivankov, A. O.
1
1987
Asymptotics for strongly nonlinear dynamical systems. Zbl 0964.70017
Awrejcewicz, J.; Andrianov, I. V.
1
2000
Asymptotic-group analysis of algebraic equations. Zbl 1075.65072
Shamrovskii, A. D.; Andrianov, I. V.; Awrejcewicz, J.
1
2004
New asymptotic method for solving of mixed boundary value problem. Zbl 0818.35125
Andrianov, I. V.; Ivankov, A. O.
1
1992
Laplace transform inverse problem application of two-point Padé approximant. Zbl 0757.65132
Andrianov, Igor V.
1
1992
Bounds on the effective transport coefficients of two-phase media from discrete theoretical and experimental data. Zbl 0949.74056
Tokarzewski, Stanisław; Gałka, Andrzej; Andrianov, Igor
1
1997
Application of Padé approximants in the method of parameter introduction in the case of investigation of biharmonic equations with complex boundary conditions. Zbl 0617.65123
Andrianov, I. V.; Ivankov, A. O.
1
1987
Analysis of natural in-plane vibration of rectangular plates using homotopy perturbation approach. Zbl 1427.74175
Andrianov, Igor V.; Awrejcewicz, Jan; Chernetskyy, Vladimir
1
2006
Problems of nonlinear mechanics and physics of materials. Dedicated to Leonid I. Manevitch on the occasion of his 80th birthday. Zbl 1418.74004
1
2019
Nonlinear dynamics of discrete and continuous systems. Zbl 1475.37004
1
2021
Dynamics of a reinforced viscoelastic plate. Zbl 1196.74090
Andrianov, Igor V.; Awrejcewicz, Jan; Pasichnik, Irina V.
1
2006
Equations of higher-order approximations for investigation of the stressed-deformed state of cylindrical shells. Zbl 0737.73057
Andrianov, I. V.; Pasechnik, A. N.
1
1990
Method of composite equations in the theory of cylindrical shells. Zbl 0613.73059
Andrianov, I. V.; Pasechnik, A. N.
1
1986
Asymptotic solutions for non-linear systems with high degrees of non- linearity. Zbl 0797.70017
Andrianov, I. V.
1
1993
Shear wave propagation in layered composites with degraded matrices at locations of imperfect bonding. Zbl 1469.74064
Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Topol, Heiko; Luyt, Adriaan S.
1
2018
Love and Rayleigh correction terms and Padé approximants. Zbl 1141.74029
Andrianov, I.; Awrejcewicz, J.
1
2007
Padé approximations and continualization for 1D mass chain. Zbl 1099.65019
Andrianov, I. V.
1
2006
Free vibration analysis of rectangular plates with structural inhomogeneity. Zbl 0925.73361
Andrianov, I. V.; Krizhevsky, G. A.
1
1993
Iterative determination of homoclinic orbit parameters and Padé approximants. Zbl 1237.65143
Andrianov, I. V.; Awrejcewicz, J.
1
2001
Non-stationary heat transfer in composite membrane with circular inclusions in hexagonal lattice structures. Zbl 1494.74015
Andrianov, I. V.; Awrejcewicz, J.; Starushenko, G. A.
1
2022
Higher order asymptotic homogenization for dynamical problems. Zbl 07601731
Andrianov, Igor I.; Andrianov, Igor V.; Starushenko, Galina A.; Borodin, Evgenij I.
1
2022
Effective heat conductivity of a composite with hexagonal lattice of perfectly conducting circular inclusions: an analytical solution. Zbl 07821856
Andrianov, Igor V.; Awrejcewicz, Jan; Starushenko, Galina A.; Kvitka, Sergiy A.
1
2022
Linear and nonlinear waves in microstructured solids. Homogenization and asymptotic approaches. Zbl 1532.74001
Andrianov, Igor V.; Awrejcewicz, Jan; Danishevskyy, Vladyslav
4
2021
Nonlinear dynamics of discrete and continuous systems. Zbl 1475.37004
1
2021
Local stress distribution in composites for pulled-out fibers with axially varying bonding. Zbl 1440.74006
Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Topol, Heiko
4
2020
Vibrations of nonlinear elastic lattices: low- and high-frequency dynamic models, internal resonances and modes coupling. Zbl 1472.74081
Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Rogerson, Graham
1
2020
The generalized Schamel equation in nonlinear wave dynamics of cylindrical shells. Zbl 1430.37087
Zemlyanukhin, A. I.; Andrianov, I. V.; Bochkarev, A. V.; Mogilevich, L. I.
3
2019
Problems of nonlinear mechanics and physics of materials. Dedicated to Leonid I. Manevitch on the occasion of his 80th birthday. Zbl 1418.74004
1
2019
Asymptotical mechanics of composites. Modelling composites without FEM. Zbl 1383.74001
Andrianov, Igor V.; Awrejcewicz, Jan; Danishevskyy, Vladyslav V.
6
2018
An asymptotic strategy to couple homogenized elastic structures. Zbl 1423.74789
Kolpakov, Alexander G.; Andrianov, Igor V.; Rakin, Sergei I.; Rogerson, Graham A.
4
2018
The effect of a weak nonlinearity on the lowest cut-off frequencies of a cylindrical shell. Zbl 1397.74133
Andrianov, I. V.; Kaplunov, J.; Kudaibergenov, A. K.; Manevitch, L. I.
2
2018
Exact and “exact” formulae in the theory of composites. Zbl 1405.74008
Andrianov, Igor; Mityushev, Vladimir
2
2018
Shear wave propagation in layered composites with degraded matrices at locations of imperfect bonding. Zbl 1469.74064
Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Topol, Heiko; Luyt, Adriaan S.
1
2018
Propagation of Floquet-Bloch shear waves in viscoelastic composites: analysis and comparison of interface/interphase models for imperfect bonding. Zbl 1383.74048
Andrianov, Igor V.; Danishevskyy, Vladyslav V.; Topol, Heiko; Rogerson, Graham A.
6
2017
Optimal design of a circular corrugated diaphragm using the homogenization approach. Zbl 1373.74080
Andrianov, Igor V.; Diskovsky, Alexander A.; Syerko, Elena
2
2017
Analytical homogenization for dynamic analysis of composite membranes with circular inclusions in hexagonal lattice structures. Zbl 07838623
Andrianov, I. V.; Awrejcewicz, J.; Markert, B.; Starushenko, G. A.
1
2017
Analysis of micro-structural effects on phononic waves in layered elastic media with periodic nonsmooth coordinates. Zbl 1469.74089
Pilipchuk, Valery N.; Andrianov, Igor V.; Markert, Bernd
3
2016
Asymptotic methods in the theory of plates with mixed boundary conditions. Zbl 1286.76004
Andrianov, Igor V.; Awrejcewicz, Jan; Danishevs’kyy, Vladyslav; Ivankov, Andrey
13
2014
Asymptotic decomposition in the problem of joined elastic beams. Zbl 1301.74033
Kolpakov, Alexander G.; Andrianov, Igor V.
4
2014
Three-phase model for a composite material with cylindrical circular inclusions. I: Application of the boundary shape perturbation method. Zbl 1423.74046
Kalamkarov, Alexander L.; Andrianov, Igor V.; Starushenko, Galina A.
3
2014
Three-phase model for a composite material with cylindrical circular inclusions. II: Application of Padé approximants. Zbl 1423.74047
Kalamkarov, Alexander L.; Andrianov, Igor V.; Starushenko, Galina A.
3
2014
Spatial localization of linear elastic waves in composite materials with defects. Zbl 1303.74019
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Kushnierov, Ievgen A.
2
2014
Numerical study of formation of solitary strain waves in a nonlinear elastic layered composite material. Zbl 1456.74106
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Ryzhkov, Oleksandr I.; Weichert, Dieter
1
2014
Dynamic homogenization and wave propagation in a nonlinear 1D composite material. Zbl 1360.74129
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Ryzhkov, Oleksandr I.; Weichert, Dieter
10
2013
Nonlinear waves in diatomic crystals. Zbl 1454.74095
Porubov, A. V.; Andrianov, I. V.
8
2013
Methods of asymptotic analysis and synthesis in the nonlinear dynamics and mechanics of deformable solids. (Методы асимптотического анализа и синтеза в нелинейной динамике и механике деформируемого твердого тела.) Zbl 1348.74002
Andrianov, Igor V.; Awrejcewicz, Jan
3
2013
Analytical perturbation method for calculation of shells based on 2d Padé approximants. Zbl 1359.74474
Andrianov, Igor Vasil’evich; Olevs’kyy, Victor Isaakovich; Awrejcewicz, Jan
1
2013
Homogenization of viscoelastic composites with fibres of diamond-shaped cross-section. Zbl 1401.74240
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Kholod, Elena G.
5
2012
Numerical investigation of 1D continuum dynamical models of discrete chain. Zbl 1256.65068
Andrianov, I. V.; Starushenko, G. A.; Weichert, D.
4
2012
Asymptotic analysis of perforated shallow shells. Zbl 1423.74574
Kalamkarov, Alexander L.; Andrianov, Igor V.; Weichert, Dieter
4
2012
Application of quasi-continuum models for perturbation analysis of discrete kinks. Zbl 1247.35119
Andrianov, Igor V.; Kholod, Elena G.; Weichert, Dieter
2
2012
Homogenization of a 1D nonlinear dynamical problem for periodic composites. Zbl 1316.74043
Andrianov, I. V.; Danishevs’kyy, V. V.; Topol, H.; Weichert, D.
14
2011
Boundary layers in fibrous composite materials. Zbl 1398.74051
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
7
2011
Modified Muravskii model for elastic foundations. Zbl 1344.74023
Andrianov, Igor V.; Kirichek, Yurii A.; Awrejcewicz, Jan
2
2011
Homogenization of viscoelastic-matrix fibrous composites with square-lattice reinforcement. Zbl 1271.74380
Andrianov, I. V.; Danishevs’kyy, V. V.; Weichert, D.
1
2011
Improved continuous models for discrete media. Zbl 1191.76102
Andrianov, I. V.; Awrejcewicz, J.; Weichert, D.
36
2010
Asymptotic study of imperfect interfaces in conduction through a granular composite material. Zbl 1211.74056
Andrianov, Igor V.; Bolshakov, Vladimir I.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
11
2010
Asymptotic methods in the theory of vibrations of beams and panels. (Асимптотические методы в теории колебаний балок и пластин.) Zbl 1228.74001
Andrianov, I. V.; Danishevskij, V. V.; Ivankov, A. O.
7
2010
Asymptotic homogenization for periodic composite materials with imperfect bonding conditions. Zbl 1387.74034
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Topol, Heiko
1
2010
Load-transfer from an elastic fibre to isotropic half-space with coating. Zbl 1193.93112
Andrianov, Igor V.; Awrejcewicz, Jan; Weichert, Dieter
2
2009
Load transfer in fibre-reinforced composites with viscoelastic matrix: An analytical study. Zbl 1184.74014
Andrianov, I. V.; Topol, H.; Weichert, D.
2
2009
Higher-order asymptotic homogenization and wave propagation in periodic composite materials. Zbl 1153.74024
Andrianov, Igor V.; Bolshakov, Vladimir I.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
60
2008
Simple estimation on effective transport properties of a random composite material with cylindrical fibres. Zbl 1157.74033
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
8
2008
Analytical study of the load transfer in fibre-reinforced 2D composite materials. Zbl 1169.74369
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
5
2008
Asymptotical methods for computing composite materials with the calculation of interior structures. (Асимптотические методы расчета композитных метериалов с учетом внутренней структуры.) Zbl 1172.74001
Bol’shakov, V. I.; Andrianov, I. V.; Danishevskij, V. V.
3
2008
Asymptotic construction of nonlinear normal modes for continuous systems. Zbl 1170.74331
Andrianov, I. V.
2
2008
On the absence of the Eshelby property for slender non-ellipsoidal inhomogeneities. Zbl 1138.74012
Andrianov, Igor V.; Argatov, Ivan I.; Weichert, Dieter
2
2008
Load-transfer from fibre to anisotropic half-space for dilute composites. Zbl 1155.74320
Andrianov, I. V.; Danishevs’kyy, V. V.; Weichert, D.
2
2008
Homogenization of rods and plates with weakenings. Zbl 1258.74173
Andrianov, I. V.; Awrejcewicz, J.
1
2008
Asymptotic solution of the theory of shell boundary value problem. Zbl 1149.74038
Andrianov, I. V.; Awrejcewicz, J.
2
2007
Love and Rayleigh correction terms and Padé approximants. Zbl 1141.74029
Andrianov, I.; Awrejcewicz, J.
1
2007
On the improved Kirchhoff equation modelling nonlinear vibrations of beams. Zbl 1106.74030
Andrianov, I. V.; Awrejcewicz, J.
6
2006
Dynamics of a string moving with time-varying speed. Zbl 1243.74078
Andrianov, Igor V.; Awrejcewicz, Jan
3
2006
On an elastic dissipation model as continuous approximation for discrete media. Zbl 1427.74053
Andrianov, I. V.; Awrejcewicz, J.; Ivankov, A. O.
2
2006
Buckling analysis of discretely stringer-stiffened cylindrical shells. Zbl 1192.74115
Andrianov, I. V.; Verbonol, V. M.; Awrejcewicz, J.
2
2006
Analytical approximations of the period of a generalized nonlinear van der Pol oscillator. Zbl 1243.34019
Andrianov, Igor V.; van Horssen, Wim T.
2
2006
Analysis of natural in-plane vibration of rectangular plates using homotopy perturbation approach. Zbl 1427.74175
Andrianov, Igor V.; Awrejcewicz, Jan; Chernetskyy, Vladimir
1
2006
Dynamics of a reinforced viscoelastic plate. Zbl 1196.74090
Andrianov, Igor V.; Awrejcewicz, Jan; Pasichnik, Irina V.
1
2006
Padé approximations and continualization for 1D mass chain. Zbl 1099.65019
Andrianov, I. V.
1
2006
Artificial small parameter method-solving mixed boundary value problems. Zbl 1200.74069
Andrianov, I. V.; Awrejcewicz, J.; Ivankov, A.
7
2005
Continuous models for 1D discrete media valid for higher-frequency domain. Zbl 1345.70041
Andrianov, I. V.; Awrejcewicz, J.
7
2005
Continuous models for chain of inertially linked masses. Zbl 1069.70011
Andrianov, Igor V.; Awrejcewicz, Jan
6
2005
Effective properties and micro-mechanical response of filamentary composite wires under longitudinal shear. Zbl 1079.74601
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Guillet, Alain; Pareige, Philippe
6
2005
Applicability of the Kirchhoff approach to the theory of vibrations of rods. Zbl 1243.74080
Andrianov, I. V.; Awrejcewicz, J.
1
2005
Edge-localized effects in buckling and vibrations of a shell with free in circumferential direction ends. Zbl 1066.74031
Andrianov, I. V.
4
2004
Asymptotic-group analysis of algebraic equations. Zbl 1075.65072
Shamrovskii, A. D.; Andrianov, I. V.; Awrejcewicz, J.
1
2004
Asymptotical behaviour of a system with damping and high power-form non-linearity. Zbl 1236.34080
Andrianov, Igor V.; Awrejcewicz, Jan
4
2003
Asymptotic approaches to strongly nonlinear dynamical systems. Zbl 1057.34051
Andrianov, Igor; Awrejcewicz, Jan
4
2003
Quasifractional approximants for matching small and large \(\delta\) approaches. Zbl 1028.35040
Andrianov, Igor V.; Awrejcewicz, Jan
2
2003
Analysis of jump phenomena using Padé approximations. Zbl 1237.34018
Andrianov, Igor V.; Awrejcewicz, Jan
2
2003
Simplified formula for the vibration frequency of circular cylinders. Zbl 1237.74043
Andrianov, I.; Awrejcewicz, Jan
1
2003
Mechanics of periodically heteregeneous structures. Zbl 1006.74001
Manevitch, L. I.; Andrianov, I. V.; Oshmyan, V. G.
16
2002
Asymptotic determination of effective elastic properties of composite materials with fibrous square-shaped inclusions. Zbl 1027.74055
Andrianov, Igor V.; Danishevs’kyy, Vladyslav V.; Weichert, Dieter
13
2002
Oscillations of non-linear system with restoring force close to \(\mathrm{sign}(x)\). Zbl 1237.34052
Awrejcewicz, Jan; Andrianov, I. V.
12
2002
Asymptotic approach for non-linear periodical vibrations of continuous structures. Zbl 1237.74044
Andrianov, I. V.; Danishevs’kyy, V. V.
8
2002
Asymptotology. Ideas, methods, and applications. With help from Michiel Hazewinkel. With a foreword by V. M. Alexandrov. Appendix C by Alexander D. Shamrovsky and Appendix D by Rem G. Barantsev. Zbl 1148.34318
Adrianov, Igor V.; Manevitch, Leonid I.
4
2002
Asymptotics of nonlinear dynamical systems with high degree of nonlinearity. Zbl 1031.37020
Andrianov, I. V.
2
2002
The specific features of the limiting transition from a discrete elastic medium to a continuous one. Zbl 1066.34507
Andrianov, I. V.
2
2002
Effective coefficients for real non-linear and fictitious linear temperature-dependent periodic composites. Zbl 1342.74021
Tokarzewski, S.; Andrianov, I.
5
2001
Solutions in the Fourier series form, Gibbs phenomena and Padé approximants. Zbl 1237.34011
Andrianov, I.; Awrejcewicz, J.
3
2001
Iterative determination of homoclinic orbit parameters and Padé approximants. Zbl 1237.65143
Andrianov, I. V.; Awrejcewicz, J.
1
2001
Analytical continuation of asymptotic expansions of effective transport coefficients by Padé approximants. Zbl 1042.35549
Tokarzewski, S.; Andrianov, I.; Danishevsky, V.; Starushenko, G.
1
2001
Construction of periodic solutions to partial differential equations with nonlinear boundary conditions. Zbl 0977.35031
Andrianov, Igor; Awrejcewicz, Jan
16
2000
Quasifractional approximants in the theory of composite materials. Zbl 0958.80001
Andrianov, Igor; Danishevsky, Vladyslav; Tokarzewski, Stanisław
5
2000
A role of initial conditions choice on the results obtained using different perturbation methods. Zbl 1237.34050
Andrianov, I.; Awrejcewicz, J.
5
2000
Methods of small and large \(\delta\) in the nonlinear dynamics – a comparative analysis. Zbl 0963.70019
Andrianov, I. V.; Awrejcewicz, J.
2
2000
Asymptotics for strongly nonlinear dynamical systems. Zbl 0964.70017
Awrejcewicz, J.; Andrianov, I. V.
1
2000
Transitions from strongly to weakly nonlinear motions of damped nonlinear oscillators. Zbl 1013.70017
Salenger, G.; Vakakis, A. F.; Gendelman, Oleg; Manevitch, Leonid; Andrianov, Igor
12
1999
Homogenization procedure and Padé approximants for effective heat conductivity of composite materials with cylindrical inclusions having square cross-section. Zbl 0953.74054
Andrianov, I. V.; Starushenko, G. A.; Danishevs’kyy, V. V.; Tokarzewski, S.
7
1999
Asymptotic approaches in nonlinear dynamics. New trends and applications. Zbl 0910.70001
Awrejcewicz, Jan; Andrianov, I. V.; Manevitch, L. I.
46
1998
A modified Adomian’s decomposition method. Zbl 0974.34013
Andrianov, I. V.; Olevskij, V. I.; Tokazhevskij, S.
4
1998
Homogenization procedure and Padé approximations in the theory of composite materials with parallelepiped inclusions. Zbl 0918.73007
Andrianov, I. V.; Starushenko, G. A.; Tokarzewski, S.
3
1998
Study of two-dimensional axisymmetric breathers using Padé approximants. Zbl 0883.35106
Emaci, E.; Vakakis, A. F.; Andrianov, I. V.; Mikhlin, Yu.
10
1997
Two-point Padé approximants and their applications to in solving mechanical problems. Zbl 0953.74619
Andrianov, Igor; Mikhlin, Yuri; Tokarzewski, Stanisław
2
1997
Bounds on the effective transport coefficients of two-phase media from discrete theoretical and experimental data. Zbl 0949.74056
Tokarzewski, Stanisław; Gałka, Andrzej; Andrianov, Igor
1
1997
Two-point Padé approximants for formal Stieltjes series. Zbl 0814.41015
Tokarzewski, Stanisław; Bławzdziewicz, Jerzy; Andrianov, I. V.
4
1994
Nonlinear free vibration of shallow cylindrical shell by Bolotin’s asymptotic method. Zbl 0958.74507
Andrianov, I. V.; Kholod, E. G.
3
1993
Asymptotic solutions for non-linear systems with high degrees of non- linearity. Zbl 0797.70017
Andrianov, I. V.
1
1993
Free vibration analysis of rectangular plates with structural inhomogeneity. Zbl 0925.73361
Andrianov, I. V.; Krizhevsky, G. A.
1
1993
...and 14 more Documents
all top 5

Cited by 611 Authors

59 Andrianov, Igor Vasil’evich
26 Awrejcewicz, Jan
19 Danishevskiĭ, Vladislav Valentinovich
15 Weichert, Dieter
11 Challamel, Noël
10 Kalamkarov, Alexander L.
10 Kaplunov, Julius D.
8 Mityushev, Vladimir V.
8 Sabitov, Kamil’ Basirovich
8 Starushenko, Galina A.
8 Topol, Heiko
7 Askes, Harm
7 Pesetskaya, Ekaterina V.
7 Wang, Chien-Ming
6 Guzina, Bojan B.
6 He, Jihuan
5 Andrianov, Igor I.
5 Elishakoff, Isaac
5 Gendelman, Oleg V.
5 Georgiades, Anastasis V.
5 Porubov, Alexey V.
5 Rodríguez-Ramos, Reinaldo
5 Rogerson, Graham A.
4 Bacigalupo, Andrea
4 Bravo-Castillero, Julián
4 Guinovart-Díaz, Raúl
4 Hadjiloizi, Demetra A.
4 Kolpakov, Alexander G.
4 Liao, Shijun
4 Nawalaniec, Wojciech
4 Pilipchuk, Valery N.
4 Pivovarov, Dmytro
4 Sabina, Federico J.
4 Steinmann, Paul
4 Tovstik, Pëtr Evgen’evich
4 Tovstik, Tat’yana Petrovna
3 Argatov, Ivan I.
3 Atangana, Abdon
3 Cakoni, Fioralba
3 Pinheiro de Castro, Luís Filipe
3 Chen, Liqun
3 Erbaş, Bariş
3 Eremeyev, Victor A.
3 Ganghoffer, Jean-François
3 Geers, Marc G. D.
3 Ghayesh, Mergen H.
3 Gholipour, Alireza
3 Giani, Stefano
3 Hakula, Harri
3 Kapanadze, David
3 Kholod, Elena G.
3 Kouznetsova, Varvara G.
3 Kovacic, Ivana
3 Krysko, Vadim Anatolievich
3 Markert, Bernd
3 Merodio, Jose
3 Moskow, Shari
3 Oskay, Caglar
3 Rylko, Natalia
3 Sevostianov, Igor
3 Sridhar, Ashwin
3 Tokarzewski, Stanisław
3 Zander, Anthony C.
3 Zhang, Zhen
3 Zhao, Jie
2 Asghari, Hadi
2 Bajer, Czesław I.
2 Bayliss, Alvin
2 Benrabah, Abderafik
2 Biwa, Shiro
2 Bunoiu, Renata
2 Chen, Hao
2 Collet, Bernard A.
2 Cornaggia, Rémi
2 Cvetićanin, Dragan
2 Cveticanin, Livija
2 De Bellis, Maria Laura
2 De Domenico, Dario
2 Diskovsky, Alexander A.
2 Drygaś, Piotr
2 Dyniewicz, Bartłomiej
2 Erofeev, Vladimir I.
2 Fafalis, Dimitrios
2 Failla, Giuseppe
2 Feng, Jingjing
2 Filippov, Sergei B.
2 Fish, Jacob
2 Fuschi, Paolo
2 Gaudiello, Antonio
2 Ghanbari, Behzad
2 Ghavanloo, Esmaeal
2 Gitman, Inna M.
2 Gluzman, Simon
2 Gorbachëv, Vladimir Ivanovich
2 Hayat, Tasawar
2 He, Ji-Huan
2 He, Zhelong
2 Hui, Tong
2 Ishii, Yosuke
2 Jafari-Talookolaei, Ramazan-Ali
...and 511 more Authors
all top 5

Cited in 110 Serials

25 International Journal of Engineering Science
24 European Journal of Mechanics. A. Solids
19 Acta Mechanica
19 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
18 Communications in Nonlinear Science and Numerical Simulation
16 Nonlinear Dynamics
15 Wave Motion
13 Mathematical Problems in Engineering
12 Applied Mathematics and Computation
11 Computer Methods in Applied Mechanics and Engineering
11 Mathematics and Mechanics of Solids
10 Chaos, Solitons and Fractals
10 Computational Mechanics
9 Meccanica
7 Journal of Computational and Applied Mathematics
7 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
7 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Journal of the Mechanics and Physics of Solids
6 Applied Mathematical Modelling
6 Archive of Applied Mechanics
5 Journal of Applied Mathematics and Mechanics
5 Physics Letters. A
5 Prikladnaya Matematika i Mekhanika
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 SIAM Journal on Applied Mathematics
4 Vestnik St. Petersburg University. Mathematics
4 International Applied Mechanics
4 International Journal of Structural Stability and Dynamics
3 Journal of Mathematical Physics
3 Mathematical Methods in the Applied Sciences
3 International Journal for Numerical Methods in Engineering
3 International Journal of Computer Mathematics
3 Journal of Vibration and Control
3 Differential Equations
3 Mathematical Modelling and Analysis
3 Vestnik Samarskogo Gosudarstvennogo Tekhnicheskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki
3 Russian Journal of Nonlinear Dynamics
2 Computers & Mathematics with Applications
2 International Journal of Solids and Structures
2 Journal of Computational Physics
2 Journal of Engineering Mathematics
2 Journal of the Franklin Institute
2 Journal of Mathematical Analysis and Applications
2 Soviet Applied Mechanics
2 Mechanics Research Communications
2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
2 Continuum Mechanics and Thermodynamics
2 Russian Mathematics
2 Advances in Applied Clifford Algebras
2 Engineering Analysis with Boundary Elements
2 Abstract and Applied Analysis
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Archives of Computational Methods in Engineering
2 Journal of Applied Mathematics
2 Multiscale Modeling & Simulation
2 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Complex Variables and Elliptic Equations
2 International Journal of Applied and Computational Mathematics
2 AMM. Applied Mathematics and Mechanics. (English Edition)
1 International Journal of Modern Physics B
1 Applicable Analysis
1 Archives of Mechanics
1 Computer Physics Communications
1 Indian Journal of Pure & Applied Mathematics
1 Inverse Problems
1 Moscow University Mechanics Bulletin
1 Theoretical and Mathematical Physics
1 Advances in Mathematics
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 Applied Mathematics and Mechanics. (English Edition)
1 Chinese Annals of Mathematics. Series B
1 Journal of Symbolic Computation
1 Numerical Methods for Partial Differential Equations
1 Applied Mathematics Letters
1 Mathematical and Computer Modelling
1 Asymptotic Analysis
1 Numerical Algorithms
1 Computational Mathematics and Mathematical Physics
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 SIAM Journal on Mathematical Analysis
1 Journal of Mathematical Sciences (New York)
1 Differential Equations and Dynamical Systems
1 Discrete Dynamics in Nature and Society
1 Journal of Mathematical Fluid Mechanics
1 Russian Physics Journal
1 Optimization and Engineering
1 Nonlinear Analysis. Real World Applications
1 Advances in Difference Equations
1 Journal of Statistical Mechanics: Theory and Experiment
1 Waves in Random and Complex Media
1 Chebyshevskiĭ Sbornik
1 Acta Mechanica Sinica
1 The European Physical Journal B. Condensed Matter and Complex Systems
1 PAMM. Proceedings in Applied Mathematics and Mechanics
1 Discrete and Continuous Dynamical Systems. Series S
1 International Journal for Computational Methods in Engineering Science and Mechanics
1 Advances in Mathematical Physics
1 Advances in Numerical Analysis
...and 10 more Serials
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Cited in 37 Fields

276 Mechanics of deformable solids (74-XX)
73 Partial differential equations (35-XX)
52 Ordinary differential equations (34-XX)
49 Numerical analysis (65-XX)
31 Mechanics of particles and systems (70-XX)
21 Fluid mechanics (76-XX)
13 Statistical mechanics, structure of matter (82-XX)
10 Functions of a complex variable (30-XX)
10 Dynamical systems and ergodic theory (37-XX)
10 Optics, electromagnetic theory (78-XX)
10 Biology and other natural sciences (92-XX)
9 Approximations and expansions (41-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Quantum theory (81-XX)
4 Real functions (26-XX)
4 Special functions (33-XX)
3 History and biography (01-XX)
3 Potential theory (31-XX)
3 Integral equations (45-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Computer science (68-XX)
3 Systems theory; control (93-XX)
2 Statistics (62-XX)
2 Operations research, mathematical programming (90-XX)
1 General and overarching topics; collections (00-XX)
1 Number theory (11-XX)
1 Linear and multilinear algebra; matrix theory (15-XX)
1 Group theory and generalizations (20-XX)
1 Difference and functional equations (39-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Operator theory (47-XX)
1 Differential geometry (53-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

Citations by Year

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