CV

Dr. Vladimir V. Chekhov
Personal data
Photo Institution personal page
Born: 1968/07/20, Donetsk (USSR, Ukraine)
Contact info
Email: 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

S.V.Selyugin, V.V.Chekhov
Numerical analysis of rational parameters of physically nonlinear structures // Troudy TsAGI, 1998, no 2632, pp. 85–95 (in Russian).

S.V.Selyugin, V.V.Chekhov
Multimaterial design of physically nonlinear structures
// Structural and Multidisciplinary Optimization,
vol. 21 issue 3 (2001), pp. 209–217

M.P.Tepenitsin, M.N.Mouratovskaya, V.V.Chekhov
Selection of rational parameters for loadbearing elements of structure of engine air channel
// Troudy TsAGI, 2001, no 2651, pp. 123–126 (in Russian).

V.V.Chekhov
On optimality of physically nonlinear fullystressed structures
// Mechanics of Solids ISSN 00256544, 2002, vol. 37, no 6, pp. 105–113.
(source in Russian: Чехов В.В. Об оптимальности физически нелинейных полностью напряжённых конструкций
// Механика твердого тела, № 6, 2002, с. 123–133)

V.V.Chekhov
Geometrically and physically nonlinear optimization problem for the 3bar truss
// Dinamicheskie Sistemy (Dynamical Systems) ISSN 02033755,
vol. 7(35) No 2 (2017), pp. 131–148

V.V.Chekhov
Use of the hyperelastic model for plastic materials by example of the threebar truss
// Acta et Commentationes Universitatis Tartuensis de Mathematica,
vol. 24 No 2 (2020), pp. 163–182
Conference Proceedings

S.V.Selyugin, V.V.Chekhov
Optimal physically nonlinear structures made of several materials
// Proceedings of WCSMO3, Third World Congress of Structural and Multidisciplinary Optimization, May 17–21, 1999, Buffalo, USA.

V.V.Chekhov
Investigation of rational airframe structural parameters
// Proceedings of WCSMO3, Third World Congress of Structural and Multidisciplinary Optimization, May 17–21, 1999, Buffalo, USA.

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 23–26, 2000, pp. 227–228.

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 threebar truss
// Troudy TsAGI, 2018, no 2782, pp. 212–213 (in Russian).
Programming of the Finite element method
Journal Articles

V.V.Chekhov
Tensorbased matrices in geometrically nonlinear FEM
//
International Journal for Numerical Methods in Engineering,
vol. 63 issue 15 (2005), pp. 2086–2101.

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. 111–117.
Program code
A C++ template metaprogram for numerical integration over ndimentional cube by the Gaussian quadrature of an arbitrary order.
Large strain by FEM
Journal Articles

V.V.Chekhov
Matrix FEM equation describing the largestrain deformation of an incompressible material
// International Applied Mechanics
vol. 46, issue 10 (2011), pp. 1147–1153.
(source in Russian: Чехов В.В.
Матричное уравнение метода конечных элементов для несжимаемого материала при больших деформациях
// Прикладная механика,
Т. 46, № 10, 2010, с. 71–77)

V.V.Chekhov
Differentiation of the equations of the finite element method for large strains in the tensormatrix form
// Dopovidi NANU,
No.5, 2012, p.72–77 (in Ukrainian).

V.V.Chekhov
Modification of the FiniteElement Method to Apply to Problems of the Equilibrium of Bodies Subject to Large Deformations
// International Applied Mechanics
vol. 49, issue 6 (2013), pp. 658–664.
(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. 37–43)

V.V.Chekhov
Relations for tensormatrix axisymmetric analysis of large strain by finite element method
// Dopovidi NANU,
No.4, 2013, p.59–64 (in Ukrainian).
Conference Proceedings

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 22–25, 2001, Kyiv, Ukraine, p. 340.
Prolog programming
Journal Articles

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. 116–124 (in Russian).
Current research
Scientific


Program implementation and investigation of the of a tensorbased 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
