Speciality:
01.02.04 (Mechanics of deformable solids)
Birth date:
2.02.1953
E-mail: Website: https://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:
M. U. Nikabadze,
A variant of the theory of multilayer structures
// Mech. Solids. 2001. No. 1. 143–158.
M. U. Nikabadze, Mathematical modeling of multilayer thin body deformation//Journal of
mathematical sciences. V. 187, No 3, 2012. P. 300-336.
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
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.
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
ISTINA
