Professor Sergey Mikhailov

Professor of Mathematics Professor Sergey Mikhailov

Contact

Mathematical Sciences
John Crank 206
Brunel University
Uxbridge
UB8 3PH
United Kingdom
Tel: +44 (0)1895 267361
Fax: +44 (0)1895 269732
Email: sergey.mikhailov@brunel.ac.uk
Web: Personal Website
Web: ResearcherID Profile
Web: Google Scholar Profile

Research Interests

Applied Analysis, Solid Mechanics, and Computational Mathematics, including: Boundary-domain integral and integro-differential equations; Theoretical fatigue, damage, durability, and fracture mechanics; Free boundary problem for PDEs of elasticity with damage; Nonlinear partial integro-differential Volterra equations of crack propagation in damaged media; Biomechanical applications.

University Research Centre Membership

Research Group Membership

Publications

Journal Papers

(2013) Chkadua, O., Mikhailov, S. and Natroshvili, D., Analysis of direct segregated boundary-domain integral equations for variable-coefficient mixed BVPs in exterior domains, Analysis and Applications 11 (4) : - Download publication

(2013) Chkadua, O., Mikhailov, SE. and Natroshvili, D., Localized boundary-domain singular integral equations based on harmonic parametrix for divergence-form elliptic PDEs with variable matrix coefficients, Integral Equations and Operator Theory 76 (4) : 509- 547 Download publication

(2013) Grzhibovskis, R., Mikhailov, SE. and Rjasanow, S., Numerics of boundary-domain integral and integro-differential equations for BVP with variable coefficient in 3D, Computational Mechanics 51 (4) : 495- 503 Download publication

(2013) Mikhailov, SE., Solution regularity and co-normal derivatives for elliptic systems with non-smooth coefficients on Lipschitz domains, Journal of Mathematical Analysis and Applications 400 (1) : 48- 67 Download publication

(2012) Mikhailov, SE. and Mohamed, NA., Numerical solution and spectrum of boundary-domain integral equation for the Neumann BVP with variable coefficient, International Journal of Computer Mathematics 89 (11) : 1488- 1503 Download publication

(2011) Chkadua, O., Mikhailov, SE. and Natroshvili, D., Analysis of segregated boundary-domain integral equations for variable-coefficient problems with cracks, Numer. Meth. for PDE 27 (1) : 121- 140 Download publication

(2011) Ayele, TG. and Mikhailov, S., Analysis of two-operator boundary-domain integral equations for variable-coefficient mixed BVP, Eurasian Mathematical Journal 2 (3) : 20- 41 Download publication

(2011) Mikhailov, SE. and Namestnikova, IV., History-sensitive accumulation rules for life-time prediction under variable loading, Archive of Applied Mechanics 81 (11) : 1679- 1696 Download publication

(2011) Chkadua, O., Mikhailov, S. and Natroshvili, D., Localized direct segregated boundary-domain integral equations for variable-coefficient transmission problems with interface crack, Memoirs on Differential Equations and Mathematical Physics 52 17- 64 Download publication

(2011) Mikhailov, SE., Traces, extensions and co-normal derivatives for elliptic systems on Lipschitz domains, Journal of Mathematical Analysis and Applications 378 (1) : 324- 342 Download publication

(2010) Chkadua, O., Mikhailov, SE. and Natroshvili, D., Localized boundary-domain integral equation formulation for mixed type problems, Georgian Mathematical Journal 17 (3) : 469- 494 Download publication

(2010) Chkadua, O., Mikhailov, SE. and Natroshvili, D., Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient, II : Solution regularity and asymptotics, Journal of Integral Equations and Applications 22 (1) : 19- 37 Download publication

(2009) Chkadua, O., Mikhailov, SE. and Natroshvili, D., Analysis of direct boundary-domain integral equations for a mixed BVP with variable coefficient, I: Equivalence and Invertibility, Journal of Integral Equations and Applications 21 (4) : 499- 543 Download publication

(2009) Chkadua, O., Mikhailov, SE. and Natroshvilli, D., Analysis of some localized boundary-domain integral equations, Journal of Integral Equations and Applications 21 (3) : 405- 445

(2006) Mikhailov, SE., Analysis of united boundary-domain integro-differential and integral equations for a mixed BVP with variable coefficient, Mathematical Methods in the Applied Sciences 29 (6) : 715- 739 Download publication

(2006) Mikhailov, SE., Localized direct boundary-domain integro-differential formulations for incremental elasto-plasticity of inhomogeneous body, Engineering Analysis with Boundary Elements 30 (3) : 218- 226 Download publication

(2005) Mikhailov, SE., Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body, Engineering Analysis with Boundary Elements 29 (11) : 1008- 1015 Download publication

(2005) Mikhailov, SE., Localized direct boundary domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficfients, Journal of Engineering Mathematics 51 (3) : 283- 302 Download publication

(2005) Mikhailov, SE. and Nakhova, IS., Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem, Journal of Engineering Mathematics 51 (3) : 251- 259 Download publication

(2005) Mikhailov, SE., Will the boundary (-domain) integral-equation methods survive? Preface to the special issue on non-traditional boundary (-domain) integral-equation methods, Journal of Engineering Mathematics 51 (3) : 197- 198 Download publication

(2003) Mikhailov, SE., Theoretical backgrounds of durability analysis by normalized equivalent stress functionals, Mathematics and Mechanics of Solids 8 (2) : 105- 142 Download publication

(2002) Mikhailov, SE., Localized boundary-domain integral formulations for problems with variable coefficients, Engineering Analysis with Boundary Elements 26 (8) : 681- 690 Download publication

(2000) Mikhailov, SE. and Namestnikova, IV., Stress–singularity analysis in space junctions of thin plates, Journal of Engineering Mathematics 37 (4) : 327- 341 Download publication

(1999) Mikhailov, SE., Finite-dimensional perturbations of linear operators and some applications to boundary integral equations, Engineering Analysis with Boundary Elements 23 (10) : 805- 813 Download publication

(1998) Isupov, LP. and Mikhailov, SE., A comparative analysis of several nonlocal fracture criteria, Archive of Applied Mechanics 68 (9) : 597- 612 Download publication

(1997) Mikhailov, SE., Singular stress behavior in a bonded hereditarily-elastic aging wedge. Part I: Problem statement and degenerate case, Mathematical Methods in the Applied Sciences 20 (1) : 13- 30 Download publication

(1997) Mikhailov, SE., Singular stress behavior in a bonded hereditarily-elastic aging wedge. Part II: general heredity, Mathematical Methods in the Applied Sciences 20 (1) : 31- 45 Download publication

(1991) Mikhailov, SE. and Namestnikova, IV., Boundary value problems of elasticity theory for plane domains with one-dimensional elastic reinforcements, Journal of Applied Mechanics and Technical Physics 32 (1) : 98- 108 Download publication

Conference Papers

(2013) Hakim, L. and Mikhailov, SE., Cohesive zone models in history dependent materials, International Conference on Computational Mechanics, CM13, CM13: Proceedings of the International Conference on Computational Mechanics - Download publication

(2011) Chkadua, O., Mikhailov, SE. and Natroshvili, D., Localized boundary-domain integral equations for Dirichlet problem for second order elliptic equations with matrix variable coefficients, 8th UK Conference on Boundary Integral Methods, Proceedings of the 8th UK Conference on Boundary Integral Methods 119- 126

(2010) Ayele, TG. and Mikhailov, SE., Two-operator boundary-domain integral equations for a variable-coefficient BVP,

(2005) Mikhailov, SE. and Namestnikova, IV., Application of damage mechanics in percussive drilling modelling, 11th International Conference on Fracture Download publication

(2005) Mikhailov, SE. and Namestnikova, IV., Quasi-static stationary-periodic model of percussive deep drilling, 11th International Conference on Computer Methods and Advances in Geomechanics Download publication

(2004) Mikhailov, SE. and Namestnikova, IV., Local and non-local normalised equivalent strain functionals for cyclic fatigue, 7th International Conference on Biaxial/Multiaxial Fatigue and Fracture Download publication

(2003) Mikhailov, SE. and Namestnikova, IV., Fatigue strength and durability analysis by normalised equivalent stress functionals, 9th International Conference on the Mechanical Behaviour of Materials (ICM9) Download publication

(2003) Mikhailov, SE. and Namestnikova, IV., Local and non-local approaches to creep crack initiation and propogation, 9th International Conference on the Mechanical Behaviour of Materials (ICM9) Download publication

(2003) Mikhailov, SE. and Namestnikova, IV., Application of local and non-local approaches to multiple fatigue crack initiation and propogation, ESIS International Conference on Fatigue Crack Paths Download publication

(2002) Mikhailov, SE. and Orlik, J., Homogenisation methods and macro-strength of composites, , Proceedings in Applied Mathematics and Mechanics (PAMM) (1) : 411- 413

Book Chapters

(2011) Hakim, L. and Mikhailov, SE., Nonlinear Abel type integral equation in modelling creep crack propagation. In: Constanda, C. and Harris, PJ. eds. Integral Methods in Science and Engineering: Computational and Analytic Aspects. Boston : Birkhäuser 191- 201 Download publication

(2007) Chkadua, O., Mikhailov, SE. and Natroshvili, D., About analysis of some localized boundary-domain integral equations for variable-coefficient BVPs. In: Trevelyan, J. ed. Advances in Boundary Integral Methods: Proceedings of the 6th UK Conference on Boundary Integral Methods. Durham University 291- 302 Download publication

(2006) Mikhailov, SE., Incremental localized boundary-domain integro-differential equations of elastic damage mechanics for inhomogeneous body. In: Sladek, J. and Sladek, V. eds. Advances in meshless methods. Forsyth, USA : Tech Science Press 105- 123 Download publication

(2005) Mikhailov, SE., Analysis of boundary-domain integral and integro-differential equations for a Dirichlet problem with variable coefficient. In: Constanda, C., Nashed, Z. and Rollins, D. eds. Integral Methods in Science and Engineering: Theoretical and Practical Aspects. Birkhäuser 161- 176 Download publication

(2005) Mikhailov, SE., Analysis of extended boundary-domain integral and integro-differential equations of some variable-coefficient BVP. In: Chen, K. ed. Advances in Boundary Integral Methods: Proceedings of the 5th UK Conference on Boundary Integral Methods. 106- 125 Download publication

(2005) Mikhailov, SE., Boundary-domain integro-differential equation of elastic damage mechanics model of stationary drilling. In: Selvadurai, APS., Tan, CL. and Aliabadi, MH. eds. Advances in Boundary Element Techniques VI. EC Ltd 107- 114 Download publication

(2003) Mikhailov, SE. and Orlik, J., Asymptotic homogenisation in strength and fatigue durability analysis of composites. In: Movchan, AB. ed. IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics. Kluwer Academic Publishers (113) : 393- 403 Download publication

(2003) Mikhailov, SE. and Namestnikova, IV., Local and non-local approaches to fatigue crack initiation and propogation. In: Movchan, AB. ed. IUTAM Symposium on Asymptotics, Singularities and Homogenisation in Problems of Mechanics. Kluwer Academic Publishers 285- 294 Download publication

(2002) Mikhailov, SE. and Orlik, J., Homogenization in strength and durability analysis of reinforced tooth filling. In: Middleton, J., Shrive, NG. and Jones, ML. eds. Computer Methods in Biomechanics and Biomedical Engineering - 4. Download publication

Page last updated: Tuesday 13 May 2014