2016 წლის 10 მარტს , ხუთშაბათს , 14: 00 საათზე, თსუ მე-XI კორპუსში, აკად. ვ. კუპრაძის სახელობის აუდიტორია 421, შედგება მათემატიკის დეპარტამენტის სამეცნიერო სემინარის სხდომა
1) მომხსენებელი: გიორგი ტეფნაძე (თსუ დოქტორანტი)
მოხსენების თემა: „ერთ და
ორგანზომილებიან ერთპარამეტრიან მარტინგალურ ჰარდის სივრცეებზე კერძო
ჯამებისა და მარცინკევიჩ–ფეიერის საშუალოების შესახებ“
ანოტაცია ქართულად
ანოტაცია ინგლისურად
2) მომხსენებელი: ბახიტ ალიპოვა (Bakhyt Alipova, Ph.D. Department of MCM International IT University)
მოხსენების თემა:
Fundamental solutions and BIE of coupled thermoelastodynamics"
ანოტაცია ინგლისურად:
Studying of dynamic processes in the various environments (f.e. rocks)
connected with emergence, transmission and diffraction of the waves
arising under the influence of various external and internal sources of a
natural or artificial origin, is among the actual scientific and
technical problems. In mechanical engineering, for example, at creation
of various constructions, made of materials, possessing various
mechanical properties, which in use are exposed to various dynamic and
thermal shock loadings, development of new effective methods is
necessary for research of their intensive and deformed condition for
definition of strength characteristics. In problems of geophysics and
seismology research of processes of diffraction and refraction of
seismic waves on boundaries of environments is closely connected with
questions of seismic division into districts of territories, antiseismic
construction of buildings and underground.
More effective and
economic methods for studying of wave processes in environments are the
methods of mathematical simulation. Their using is connected with
creation of mathematical models. Creation on the basis of these models
varies software allows to make numerical experiments on studying of
intensive and deformed condition of environments at various dynamic
influences which often cant be carried out on real objects
experimentally.
The purpose of the research is to construct the
method of the boundary integral equations (BIEM) for solving a transient
value problem of coupled thermoelastodynamics. The following problems
have been solved: (i)) the influence of the temperature on the character
of distribution of thermoelastic waves was investigated; (ii) The
thermoelastic statement of media in two- and three-dimensional cases was
considered under by action of the non-stationary concentrated mass
forces and thermal sources; (iii) Two types of Tensors of fundamental
stresses were constructed, their properties were investigated, and their
asymptotics were constructed; (iv) the dynamical analogue of Formula of
Gauss. The BIEM for the thermostresses condition of media was developed
at the given non-stationary loadings and thermal flow on its border in
bounds in two- and three-dimensional cases.
