Professor Sergey Mikhailov

Contact

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

(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) 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

(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

(2010) Chkadua, O., Mikhailov, SE. and Natroshvili, D., Localized boundary-domain integral equation formulation for mixed type problems, Georgian Math. J. 17 469- 494

(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 some localized boundary-domain integral equations, Journal of Integral Equations and Applications 21 (3) : 407- 447 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

(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., 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

(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

(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

Conference Papers

(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

(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., Application of local and non-local approaches to multiple fatigue crack initiation and propogation, ESIS International Conference on Fatigue Crack Paths 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

Book Chapters

(2010) Ayele, TG. and Mikhailov, SE., Two-operator boundary-domain integral equations for a variable-coefficient BVP. In: Constanda, C. and Pérez, ME. eds. Integral Methods in Science and Engineering: Volume 1, Analytic Methods. Boston : Birkhäuser 29- 39

(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. 161- 176

(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. 107- 114

(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. 285- 294