REPORT

IUTAM   SYMPOSIUM  (Ga.04-09(=S.2))

ON

RELATION OF SHELL, PLATE, BEAM AND 3D MODELS

 

Dedicated to Centenary of Ilia Vekua

I. Vekua Institute of Applied Mathematics

of Iv. Javakhishvili Tbilisi State University

April 23 – 27, 2007

 

a) Scientific Committee

INTERNATIONAL SCIENTIFIC COMMITTEE

 

Philipppe G. Ciarlet (Hong Kong)
Anatoly Gerasimovich Gorshkov  (Russia)
Jorn Hansen (Canada)
George V. Jaiani (Georgia), Chairman

Reinhold Kienzler (Germany)
Herbert A. Mang  (Austria)
Paolo Podio-Guidugli (Italy)
Gangan Prathap (India)
 

IUTAM Representative D. (Dick) H. van Campen (Netherlands)

 

LOCAL ORGANIZING COMMITTEE

 

Gia Avalishvili (I.Vekua Institute of Applied Mathematics)

Natalia Chinchaladze (I.Vekua Institute of Applied Mathematics), Secretary

David Gordeziani (I.Vekua Institute of Applied Mathematics)

George Jaiani (I.Vekua Institute of Applied Mathematics), Chairman

Gela Kipiani (Georgian Technical University)

Tengiz Meunargia (Iv. Javakhishvili Tbilisi State University)

Nugzar Shavlakadze (A.Razmadze Mathematical Institute of  Georgian Academy of Sciences)

Ilia Tavkhelidze (Iv. Javakhishvili Tbilisi State University)

Tamaz Vashakmadze (Iv. Javakhishvili Tbilisi State University)

 

b) Short summary of scientific progress achieved

During the sessions, the contributions of the authors were discussed in a lively, thorough but friendly atmosphere. New results were emphasized and relations to established theories were elaborated. Especially the Round Table provided a good opportunity to discuss matters in a broader context. Different approaches and different points of view to the same or similar problems were compared and evaluated. In this sense, the symposium was very successful by stimulating further research and mutual interactions.

 

c) Countries represented and number of participants

 

Austria  –  1

Armenia – 5

Bulgaria – 1

Canada – 2

Georgia – 20

Germany – 8

Italy – 4

Netherlands – 1

Poland – 1

Russia – 1

Romania – 1

Switzerland – 1

Turkey – 2

UK – 1

Ukraine – 1

 

d) Publication of Proceedings of the Symposium

      There are submitted 20 papers for publication in Proceedings (at symposium there were given 25 talks).

 

e) Financial support

List of grantees and the amounts supported in US Dollars:

1. Aghalovyan Lenser (Armenia) -                 400 USD
2. Bagdoev Alexander (Armenia) -                 400 USD
3. Belubekyan Vagharshak (Armenia) -          400 USD
4. Birsan Mircea (Romania) -                         130 USD
5. Chipot Michel (Switzerland) -                     957 USD
6. Duduchava Roland (Georgia) -                     72 USD
7. Gavdilova Elena (Bulgaria) -                     1269 USD
8. Guidugli Paolo P. (Italy) -                            770 USD
9. Meunargia Tengiz (Georgia) -                        72 USD
10. Safaryan Yuri (Armenia) -                        400 USD
11. Shavlakadze Nugzar (Georgia) -                  72 USD

f) Scientific program

 

 

9⁰⁰-10⁰⁰ Registration

 

10⁰⁰-11⁰⁰ Opening Ceremony (VIAM, I.Vekua Lecture-Hall)

George Khubua (Rector of Iv.Javakhishvili Tbilisi State University, Georgia)

Natia Jokhadze (Acting Director of the Georgian National Science Foundation, Georgia)

Dick H. Van Campen (IUTAM Secretary-General, Netherlands)

 

11⁰⁰-11⁴⁵  Opening  Lecture

Bojarski Bogdan (Poland). Life and scientific activity of Ilia Vekua

 

14³⁰-15³⁰ Meeting with the President of the Georgian Academy of Sciences

 

16⁰⁰-17⁰⁰ Visit to Mtatsminda Pantheon

 

18⁰⁰          Jubilee Session (Rustaveli State Theatre)

20³⁰         Reception by the Ministry of Education and Science (Palace of Youth)

 

 

VIAM, Room of Seminars

 

10⁰⁰-11³⁰ Mang, Herbert A.; Aigner E.; Lackner R.; Eberhardsteiner J.; Piegl M.; Wistuba M.; Blab R. (Austria). Multiscale assessment of low-temperature performance of flexible pavements

10³⁵-11⁰⁵ Aghalovyan, Lenser A. (Armenia). An asymptotic method of solving three-dimensional boundary value problems of statics and dynamics of thin bodies

11¹⁰-11⁴⁰ Altenbach, Holm; Johannes, Meenen (Germany). On the different possibilities to derive plate and shell theories

11⁵⁵-12²⁵ Bagdoev, Alexander; Safaryan, Yuri (Armenia). 3D investigation of bending free vibrations in ferromagnetic rectangular free supported plates

12³⁰-13⁰⁰ Birsan, Mircea (Romania). Recent developments in the theory of Cosserat elastic shells and applications

13⁰⁵-13³⁵ Duduchava, Roland (Georgia). Partial differential equations on hypersurfaces and shell theory

15⁰⁰-15³⁰ Chipot, Michel (Switzerland). On anisotropic singular perturbations problems

15³⁵-16⁰⁵ Hansen, Jorn S. (Canada). A hierarchical beam and plate modeling theory based on homogenization

16¹⁰-16⁴⁰ Jaiani, George (Georgia). Physical and mathematical moments and analysis of peculiarities of setting of boundary conditions for cusped shells and beams

 

17⁰⁰-18⁰⁰ Round Table

 

 

VIAM, Room of Seminars

 

10⁰⁰-11³⁰ Belubekyan, Vagharshak (Armenia). Stability of a rectangular plate with account of transverse shear deformations

10³⁵-11⁰⁵  Lorenzo, Freddi (Italy). Variational dimension reduction in non linear elasticity: a Young measure approach

11¹⁰-11⁴⁰ Meunargia, Tengiz (Georgia). The method of a small parameter for I. Vekua’s nonlinear and nonshallow shell  models

11⁵⁵-12²⁵ Bagdoev, Alexander; Vardanyan, Anna; Vardanyan, Sedrak (Armenia). The analytical and numerical investigation of free bending vibrations of ferromagnetic cylindrical shell by exact space treatment

12³⁰-13⁰⁰ Chinchaladze, Natalia (Georgia). Vibration of an elastic plate under action of an incompressible fluid

13⁰⁵-13³⁵ Gavrilova, Elena (Bulgaria). Joint vibrations of a rectangular shell and gas in it

15⁰⁰-15³⁰ Kienzler, Reinhold; Bose D. K. (Germany). Material conservation laws established within a consistent  plate theory

15³⁵-16⁰⁵ Oguamanam, Donatus C.D.; McLean C.; Hansen Jorn S. (Canada). The extension and application of the hierarchical beam theory to piezoelectrically actuated beams

16¹⁰-16⁴⁰ Shavlakadze, Nugzar (Georgia). Problems of the mathematical theory of elasticity for plates with  elastic inclusions

 

 17⁰⁰-18⁰⁰ Round Table

 

 

VIAM, Room of Seminars

 

10⁰⁰-10³⁰ Bojarski, Bogdan (Poland). Primary solutions of general Beltrami equations

10³⁵-11⁰⁵ Paroni, Roberto (Italy). Thin walled elastic beams: a rigorous justification of vlasov theory

11¹⁰-11⁴⁰ Schlebusch, Rainer; Zastrau, Bernd (Germany). On the simulation of textile reinforced concrete layers by a surface–related shell formulation

11⁵⁵-12²⁵ Vashakmadze, Tamaz (Georgia). On basic systems of equations of continuum mechanics and some mathematical problems for anisotropic thin-walled structures

12³⁰-13⁰⁰ Avalishvili, Mariam; Avalishvili, Gia;  Gordeziani, David (Georgia). Hierarchical modeling of multistructures.

 

13⁰⁵-13³⁵ Round Table

 

15⁰⁰-15⁴⁵ Closing Lecture:

Podio-Guidugli, Paolo (Italy). Validation of classical beam and plate models by variational convergence

 

g) Best Scientific Paper Award

Georgian National Science Foundation established “Best Scientific Paper Award” for three participants of the IUTAM Symposium. According to the decision of the International Scientific Committee of IUTAM Symposium these award went to Natalia Chinchaladze (Georgia), Freddi Lorenzo (Italy), and Rainer Schlebusch (Germany).