CV
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Dr. Vladimir V. Chekhov
Personal data
Photo Institution personal page
Born: 1968/07/20, Donetsk (USSR, Ukraine)
Contact info
E-mail: v_chekhov@ukr.net
Educational background
MSc in Applied Mathematics and Physics (1994, MIPT Moscow Institute of Physics and Technology)
PhD in Strength of Aircraft Structures (1998, MIPT)
(thesis
"Selection of Rational Parameters for Physically Nonlinear Aircraft Structures",
scientific adviser Dr. S.V. Selyugin)
PhD degree attested in Ukraine, in Design of Aircraft Structures (2003, Kharkiv Aviation Institute)
Professional experience
Teaching experience
Taught a series of courses in the areas of numerical methods, mathematical programming, some programming languages, AI basics, system simulation.
Grants
National scientific grant from Russian Academy of Sciences for gifted young scientists (2000).
Research area and principal publications
Optimal structural design
Journal Articles
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S.V.Selyugin, V.V.Chekhov
Numerical analysis of rational parameters of physically non-linear structures // Troudy TsAGI, 1998, no 2632, pp. 8595 (in Russian).
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S.V.Selyugin, V.V.Chekhov
Multimaterial design of physically nonlinear structures
// Structural and Multidisciplinary Optimization,
vol. 21 issue 3 (2001), pp. 209217
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M.P.Tepenitsin, M.N.Mouratovskaya, V.V.Chekhov
Selection of rational parameters for load-bearing elements of structure of engine air channel
// Troudy TsAGI, 2001, no 2651, pp. 123126 (in Russian).
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V.V.Chekhov
On optimality of physically nonlinear fully-stressed structures
// Mechanics of Solids ISSN 0025-6544, 2002, vol. 37, no 6, pp. 105113.
(source in Russian: Чехов В.В. Об оптимальности физически нелинейных полностью напряжённых конструкций
// Механика твердого тела, № 6, 2002, с. 123133)
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V.V.Chekhov
Geometrically and physically nonlinear optimization problem for the 3-bar truss
// Dinamicheskie Sistemy (Dynamical Systems) ISSN 0203-3755,
vol. 7(35) No 2 (2017), pp. 131148
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V.V.Chekhov
Use of the hyperelastic model for plastic materials by example of the three-bar truss
// Acta et Commentationes Universitatis Tartuensis de Mathematica,
vol. 24 No 2 (2020), pp. 163182
Conference Proceedings
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S.V.Selyugin, V.V.Chekhov
Optimal physically nonlinear structures made of several materials
// Proceedings of WCSMO-3, Third World Congress of Structural and Multidisciplinary Optimization, May 1721, 1999, Buffalo, USA.
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V.V.Chekhov
Investigation of rational airframe structural parameters
// Proceedings of WCSMO-3, Third World Congress of Structural and Multidisciplinary Optimization, May 1721, 1999, Buffalo, USA.
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V.V.Chekhov
Optimality condition for physically nonlinear fully stressed designs and its use in rational design
// Proceedings of International conference of young scientists and engineers "Actual problems of aerospace science and technology",
Zhukovsky, Moscow, Russia,
May 2326, 2000, pp. 227228.
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V.V.Chekhov
Theoretical assessment of the influence of plasticity and large strains on the properties of an optimal design by example of loading a three-bar truss
// Troudy TsAGI, 2018, no 2782, pp. 212213 (in Russian).
Programming of the Finite element method
Journal Articles
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V.V.Chekhov
Tensor-based matrices in geometrically non-linear FEM
//
International Journal for Numerical Methods in Engineering,
vol. 63 issue 15 (2005), pp. 20862101.
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V.V.Chekhov
Efficiency of the pattern implementation of numerical integration in the finite element method
//
Bulletin of Zaporizhzhіa National University,
2013, No 1, pp. 111117.
Program code
A C++ template metaprogram for numerical integration over n-dimentional cube by the Gaussian quadrature of an arbitrary order.
Large strain by FEM
Journal Articles
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V.V.Chekhov
Matrix FEM equation describing the large-strain deformation of an incompressible material
// International Applied Mechanics
vol. 46, issue 10 (2011), pp. 11471153.
(source in Russian: Чехов В.В.
Матричное уравнение метода конечных элементов для несжимаемого материала при больших деформациях
// Прикладная механика,
Т. 46, № 10, 2010, с. 7177)
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V.V.Chekhov
Differentiation of the equations of the finite element method for large strains in the tensor-matrix form
// Dopovidi NANU,
No.5, 2012, p.7277 (in Ukrainian).
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V.V.Chekhov
Modification of the Finite-Element Method to Apply to Problems of the Equilibrium of Bodies Subject to Large Deformations
// International Applied Mechanics
vol. 49, issue 6 (2013), pp. 658664.
(source in Russian: Чехов В.В.
О модификации метода конечных элементов применительно к задачам равновесия тел при воздействии больших деформаций
// Прикладная механика,
Т. 49, № 6, 2013, с. 3743)
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V.V.Chekhov
Relations for tensor-matrix axisymmetric analysis of large strain by finite element method
// Dopovidi NANU,
No.4, 2013, p.5964 (in Ukrainian).
Conference Proceedings
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V.V.Chekhov
An equation of the Finite Element method for static analysis under large strains // Proceedings of International Conference "Dynamical Systems Modelling and Stability Investigation",
May 2225, 2001, Kyiv, Ukraine, p. 340.
Prolog programming
Journal Articles
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N.A.Sokolov, V.V.Chekhov
Usage of the state space search to improve the envelope of a sparce matrix //
Bulletin of Zaporizhzhіa National University,
2006, No 1, pp. 116124 (in Russian).
Current research
Scientific
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Program implementation and investigation of the of a tensor-based FEM equation for large strains (formerly with the assistance of N.Sokolov).
Some results (dashed or crosses init.approx.): the von Mises truss under no load (all 3 solutions),
an inversed cylinder: circular, square.
Educational
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