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Nikabadze, Mikhail Ushangievich

Statistics Math-Net.Ru
Total publications: 20
Scientific articles: 19
Presentations: 12

Number of views:
This page:323
Abstract pages:882
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References:51
Nikabadze, Mikhail Ushangievich
Associate professor
Doctor of physico-mathematical sciences (2014)
Speciality: 01.02.04 (Mechanics of deformable solids)
Birth date: 2.02.1953
E-mail:
Website: http://mai.ru/events/defence/doctor/index.php?ELEMENT_ID=50161
Keywords: Micropolar medium, nonlocal models, thin body, composite materials, orthogonal polynomial method, mathematical theory of thin bodies, scale effects, gradient mechanics, nanomechanics, eigenvalue problem of tensor-block matrix, tensor column, eigentensor, the anisotropy symbol of tensor-block matrix , the anisotropy symbol of the material, the tensor operator of the equations, the tensor-operator of stress, the tensor-operator of stress and couple stress, the tensor-block matrix operator, the canonical presentation of a tensor.

Subject:

Classical and nonclassical theories of elasticity, viscoelasticity, mechanics of composites and nanocomposites; classical and non-classical theories of thin bodies of various rheology; classical and non-classical theories of thin bodies of various rheology using systems of orthogonal polynomials; eigenvalue problems for the tensor and tensor-block matrix of any even rank and their application in mechanics; gradient mechanics of continuous media; nanomechanics of gradient continuous media; gradient mechanics of thin bodies; nanomechanics of gradient thin bodies; mechanics of composites of thin bodies, etc.

   
Main publications:
  1. M. U. Nikabadze, A variant of the theory of multilayer structures // Mech. Solids. 2001. No. 1. 143–158.
  2. M. U. Nikabadze, Mathematical modeling of multilayer thin body deformation//Journal of mathematical sciences. V. 187, No 3, 2012. P. 300-336.
  3. M. U. Nikabadze Development of the method of orthogonal polynomials in the classical and micropolar mechanics of elastic thin bodies // M., Publishing House of the Board of Trustees mech.-math. facul. of MSU. 2014. 515 p (in Russian). http://istina.msu.ru/media/publications/book/707/ea1/6738800/Monographiya.pdf
  4. M. U. Nikabadze, Some issues concerning a version of the theory of thin solids based on expansions in a system of Chebyshev polynomials of the second kind // Mech. Solids. 2007. 42. No. 3. 391-421.
  5. M. U. Nikabadze, Topics on tensor calculus with applications to mechanics// J. Math. Sci. 2017. Vol. 225, No. 1. 194 p. DOI: 10.1007/s10958-017-3467-4

http://www.mathnet.ru/eng/person111931
List of publications on Google Scholar
List of publications on ZentralBlatt
http://elibrary.ru/author_items.asp?spin=6336-1250
ISTINA http://istina.msu.ru/workers/1560856
http://orcid.org/0000-0001-6096-0159
http://www.scopus.com/authid/detail.url?authorId=6506395397

Publications in Math-Net.Ru
2019
1. M. U. Nikabadze, “Splitting of initial boundary value problems in anisotropic linear elasticity theory”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2019, 5,  23–30  mathnet; Moscow University Mechanics Bulletin, 74:5 (2019), 103–110  isi  scopus
2018
2. M. U. Nikabadze, “Eigenvalue Problems for Tensor-Block Matrices and Their Applications to Mechanics”, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 150 (2018),  40–77  mathnet  mathscinet
2017
3. M. U. Nikabadze, “Eigenvalue problem for some tensors used in mechanics and a number of essential compatibility conditions for the Saint-Venant deformation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2017, 3,  54–58  mathnet; Moscow University Mechanics Bulletin, 72:3 (2017), 66–69  isi  scopus
2015
4. M. U. Nikabadze, “Eigenvalue problem for tensors of even rank and its applications in mechanics”, Contemporary Mathematics and Its Applications, 98 (2015),  22–52  mathnet; Journal of Mathematical Sciences, 221:2 (2017), 174–204
5. M. U. Nikabadze, “Topics on tensor calculus with applications to mechanics”, CMFD, 55 (2015),  3–194  mathnet; Journal of Mathematical Sciences, 225:1 (2017), 1–194
2014
6. M. U. Nikabadze, “Construction of eigentensor columns in the linear micropolar theory of elasticity”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2014, 1,  30–39  mathnet; Moscow University Mechanics Bulletin, 69:1 (2014), 1–9  scopus
2012
7. M. U. Nikabadze, “Compatibility conditions and equations of motion in the linear micropolar theory of elasticity”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2012, 1,  63–66  mathnet  mathscinet; Moscow University Mechanics Bulletin, 67:1 (2012), 18–22  scopus
2011
8. M. U. Nikabadze, “Relation between the stress and couple-stress tensors in the microcontinuum theory of elasticity”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, 6,  59–62  mathnet  mathscinet  zmath
9. M. U. Nikabadze, “Formulas for the general complex representation in the plane micropolar theory of elasticity”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2011, 4,  65–68  mathnet  mathscinet  zmath
2010
10. M. U. Nikabadze, “Compatibility conditions in the linear micropolar theory”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, 5,  48–51  mathnet  mathscinet
2007
11. M. U. Nikabadze, “Application of Chebyshev polynomials to the theory of thin bodies”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2007, 5,  56–63  mathnet  mathscinet  zmath
12. M. U. Nikabadze, “Shell theory equations consistent with boundary conditions at face surfaces”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2007, 2,  72–76  mathnet  mathscinet  zmath
2006
13. M. U. Nikabadze, “A version of a system of equations in the theory of thin bodies”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2006, 1,  30–35  mathnet  mathscinet  zmath
2005
14. M. U. Nikabadze, A. R. Ulukhanyan, “Formulation of the problem for thin deformable 3D body”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, 5,  43–49  mathnet  zmath
2002
15. M. U. Nikabadze, “Equations of motion and boundary conditions in the theory of multilayer plane curvilinear rods”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, 6,  41–46  mathnet  mathscinet  zmath
2001
16. M. U. Nikabadze, “Equations of motion and boundary conditions in rod theory with several base lines”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2001, 3,  35–39  mathnet  mathscinet  zmath
2000
17. M. U. Nikabadze, “The unit tensors of second and fourth ranks under a new parametrization of a shell space”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, 6,  25–28  mathnet  zmath
18. M. U. Nikabadze, “Christoffel symbols and the second surface tensor with new parametrization of the shell space”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2000, 3,  41–45  mathnet  mathscinet  zmath
1991
19. M. U. Nikabadze, “A new kinematic hypothesis and new equations of motions and equilibrium of the theory of shells and plane curvilinear rods”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, 6,  54–61  mathnet  zmath

2007
20. D. V. Georgievskii, V. I. Gorbachev, I. A. Kiiko, A. S. Kravchuk, E. V. Lomakin, L. V. Muravleva, M. U. Nikabadze, N. N. Smirnov, G. G. Chernii, V. N. Chubarikov, E. I. Shemyakin, S. V. Sheshenin, “К семидесятилетию Бориса Eфимовича Победри”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2007, 5,  3–5  mathnet  mathscinet  zmath

Presentations in Math-Net.Ru
1. О проблеме расщепления начально-краевых задач в механике
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
February 16, 2018 18:30
2. Метод ортогональных полиномов в механике микрополярных и классических упругих тонких тел (по материалам докторской диссертации)
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
December 5, 2014 18:30
3. Некоторые аналитические решения в теориях тонких тел
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
April 4, 2014 18:30
4. Анизотропия в линейной микрополярной теории упругости
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
April 27, 2012 18:30
5. Полная система собственных тензоров для положительно определенного симметричного тензора любого четного ранга
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
December 2, 2011 18:30
6. О постановках и методах решения краевых задач в теории тонких тел (совместное заседание с учебно-научным семинаром кафедры “Прикладная математика” МГТУ им. Н. Э. Баумана)
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
October 8, 2010 18:30
7. Некоторые вопросы микрополярной теории упругости
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
June 4, 2010 18:30
8. Некоторые виды напряженно-деформированных состояний микрополярной среды
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
November 6, 2009 18:30
9. Об условиях совместности деформации и уравнениях в тензорах напряжений и моментных напряжений в микрополярной трехмерной теории упругости
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
April 17, 2009 18:30
10. Моделирование трехмерных тонких тел с двумя малыми размерами
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
March 28, 2008 18:30
11. К теориям тонких тел
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
February 22, 2008 18:30
12. К варианту теории многослойных конструкций
M. U. Nikabadze
Scientic seminar «Actual problems of geometry and mechanics » named after Prof. V.V. Trofimov
September 28, 2001 18:30

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