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Some nonclassical problems for thin structures (06-1000017-8886)


Funded by

INTAS

Start Date: 2007-02-02       End Date: 2009-01-31

This project deals with a class of linearly elastic material bodies of a special shape, namely, the cuspidate prismatic shell-like bodies introduced by I. Vekua, studied in the framework of Vekua’s 0-order approximation theory. It is shown per exempla that, when such bodies are subject to concentrated boundary loads, internal concentrated contact interactions may arise.

Project members:

Talks

  • On Mathematical Models of Cusped Beams, Plates, and Shells, by George Jaiani (Speaker) at South-Caucasian Summer School on Mathematical Modeling of Thin Structures , 2008, Tsakhkadzor, Armenia.
  • Systems of Linear Partial Differential Equations in Cuspidal Prismatic Domains, by George Jaiani (Speaker) at International Conference on Analysis, PDEs and Applications , 2008, Rome, Italy.
  • Some Nonclassical Problems for Thin Structures, by George Jaiani (Speaker) at Seminar (guided by Prof. J.Cagnol), Department of Mechanics, 2008, Paris, France.
  • Some Nonclassical Problems for Cusped Prismatic Shells, by George Jaiani (Speaker) at Final Meeting within the framework of INTAS Project for South Caucasian Republics # 06-1000017-8886, 2009, Rome, Italy.

Publications

  • George Jaiani, On a Nonlocal Boundary Value problem for a System of Singular Differential Equations, Applicable Analysis: An International Journal, 87 (1), 83 – 97, Taylor and Francis Ltd., 2008.
  • Natalia Chinchaladze, George Jaiani, Boris Maistrenko, Paolo Podio-Guidugli, Concentrated contact interactions in cuspidate prismatic shell-like bodies, Archive of Applied Mechanics 81(10):1487-1505, Springer, 2011.