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Professor Sergey Mikhailov
Professor - Applied Mathematics and Analysis

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Mikhailov, SE. (2006) '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). pp. 715 - 739. ISSN: 0170-4214 Open Access Link

Journal article

Mikhailov, SE. and Namestnikova, IV. (2005) 'Application of damage mechanics in percussive drilling modelling'.11th International Conference on Fracture. Turin, Italy. 20 - 25 March. 11th International Conference on Fracture 2005, ICF11. pp. 444 - 451.Open Access Link

Conference paper

Mikhailov, SE. (2005) '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). pp. 197 - 198. ISSN: 0022-0833 Open Access Link

Journal article

Mikhailov, SE. (2005) '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. pp. 107 - 114.Open Access Link

Book chapter

Mikhailov, SE. and Nakhova, IS. (2005) 'Mesh-based numerical implementation of the localized boundary-domain integral-equation method to a variable-coefficient Neumann problem'. Journal of Engineering Mathematics, 51 (3). pp. 251 - 259. ISSN: 0022-0833 Open Access Link

Journal article

Mikhailov, SE. (2005) 'Direct localized boundary-domain integro-differential formulations for physically nonlinear elasticity of inhomogeneous body'. Engineering Analysis with Boundary Elements, 29 (11). pp. 1008 - 1015. ISSN: 0955-7997 Open Access Link

Journal article

Mikhailov, SE. (2005) '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. pp. 106 - 125.Open Access Link

Book chapter

Mikhailov, SE. and Namestnikova, IV. (2005) 'Quasi-static stationary-periodic model of percussive deep drilling'.11th International Conference on Computer Methods and Advances in Geomechanics. Turin, Italy. Patron Editore. pp. 103 - 109.Open Access Link

Conference paper

Mikhailov, SE. (2005) '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. pp. 161 - 176. ISBN 10: 081764377X. ISBN 13: 978-0817643775. Open Access Link

Book chapter

Mikhailov, SE. (2005) 'Localized direct boundary domain integro-differential formulations for scalar nonlinear boundary-value problems with variable coefficfients'. Journal of Engineering Mathematics, 51 (3). pp. 283 - 302. ISSN: 0022-0833 Open Access Link

Journal article

Mikhailov, SE. and Namestnikova, IV. (2004) 'Local and non-local normalised equivalent strain functionals for cyclic fatigue'.7th International Conference on Biaxial/Multiaxial Fatigue and Fracture. Berlin, Germany. 28 - 1 July.Open Access Link

Conference paper

Mikhailov, SE. and Namestnikova, IV. (2003) 'Fatigue strength and durability analysis by normalised equivalent stress functionals'.9th International Conference on the Mechanical Behaviour of Materials (ICM9). Geneva, Switzerland. 25 - 29 May.Open Access Link

Conference paper

Mikhailov, SE. and Namestnikova, IV. (2003) 'Local and non-local approaches to creep crack initiation and propogation'.9th International Conference on the Mechanical Behaviour of Materials (ICM9). Geneva, Switzerland. 25 - 29 May.Open Access Link

Conference paper

Mikhailov, SE. and Orlik, J. (2003) '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. pp. 393 - 403. ISBN 10: 1402017804. Open Access Link

Book chapter

Mikhailov, SE. (2003) 'Theoretical backgrounds of durability analysis by normalized equivalent stress functionals'. Mathematics and Mechanics of Solids, 8 (2). pp. 105 - 142. ISSN: 1081-2865 Open Access Link

Journal article

Mikhailov, SE. and Namestnikova, IV. (2003) 'Application of local and non-local approaches to multiple fatigue crack initiation and propogation'.ESIS International Conference on Fatigue Crack Paths. Parma, Italy.Open Access Link

Conference paper

Mikhailov, SE. and Namestnikova, IV. (2003) '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. pp. 285 - 294. ISBN 10: 1402017804. Open Access Link

Book chapter

Mikhailov, SE. and Orlik, J. (2002) 'Homogenisation methods and macro-strength of composites'. Wiley. pp. 411 - 413. ISSN: 1617-7061 Open Access Link

Conference paper

Mikhailov, SE. and Orlik, J. (2002) '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. Open Access Link

Book chapter

Mikhailov, SE. (2002) 'Localized boundary-domain integral formulations for problems with variable coefficients'. Engineering Analysis with Boundary Elements, 26 (8). pp. 681 - 690. ISSN: 0955-7997 Open Access Link

Journal article

Mikhailov, SE. and Namestnikova, IV. (2000) 'Stress–singularity analysis in space junctions of thin plates'. Journal of Engineering Mathematics, 37 (4). pp. 327 - 341. ISSN: 0022-0833 Open Access Link

Journal article

Mikhailov, SE. (1999) 'Finite-dimensional perturbations of linear operators and some applications to boundary integral equations'. Engineering Analysis with Boundary Elements, 23 (10). pp. 805 - 813. ISSN: 0955-7997 Open Access Link

Journal article

Isupov, LP. and Mikhailov, SE. (1998) 'A comparative analysis of several nonlocal fracture criteria'. Archive of Applied Mechanics, 68 (9). pp. 597 - 612. ISSN: 0939-1533 Open Access Link

Journal article

Mikhailov, SE. (1997) '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). pp. 13 - 30. ISSN: 0170-4214 Open Access Link

Journal article

Mikhailov, SE. (1997) 'Singular stress behavior in a bonded hereditarily-elastic aging wedge. Part II: general heredity'. Mathematical Methods in the Applied Sciences, 20 (1). pp. 31 - 45. ISSN: 0170-4214 Open Access Link

Journal article

Mikhailov, SE. and Namestnikova, IV. (1991) 'Boundary value problems of elasticity theory for plane domains with one-dimensional elastic reinforcements'. Journal of Applied Mechanics and Technical Physics, 32 (1). pp. 98 - 108. ISSN: 0021-8944 Open Access Link

Journal article