I. Vekua Institute of Applied Mathematics   Tbilisi I.Javakhishvil State University

Department of Shell Theory

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SELECTED PUBLICATIONS

of

N. Zirakashvili

1.       Elastic Equilibrium of a Plane Deformed Elliptic Cilinder with a Hole when Displacements Are Given on the Boundary, Proceedings of I.Vekua Institute of Applied Mathematics of Tbilisi State University, Vol.39, pp.92-96, 1990 (in Russian, Georgian and English summaries). http://www.viam.science.tsu.ge/publish/proceedings/tom39.htm

2.       Solution of Basic Two-Dimensional Problems of Elasticity for an Elliptic Cilinder with a Hole and its Parte, Proceedings of I.Vekua Institute of Applied Mathematics of Tbilisi State University, Vol.39, pp.255-261, 1990 (coauthor N. Khomasuridze, in Russian, Georgian and English summaries). http://www.viam.science.tsu.ge/publish/proceedings/tom39.htm

3.       Elastic Equilibrium of a Plane Deformed Elliptic Cilinder with a Hole and its Parts, Reports of Enlarged Session of the Seminar of I.Vekua Institute of Applied Mathematics of Tbilisi State University, Vol.6, 2, pp.157-160, 1991(coauthor N. Khomasuridze, in Russian) http://www.viam.science.tsu.ge/enl_ses/vol6_2.htm

4.       Investigation and Solution of the Continuous System Obtained in the Case of the Solution of Some Boundary Value Problems, Proceedings of I.Vekua Institute of Applied Mathematics of Tbilisi State University, Vol.46, pp.119-123, 1992 (in Russian, Georgian and English summaries). http://www.viam.science.tsu.ge/publish/proceedings/tom46.htm

5.       The Silution of Boundary Value Problems Elliptic Plate Beoding , Proceedings of I.Vekua Institute of Applied Mathematics of Tbilisi State University, Vol.46, pp.236-239, 1992 (coauthor N. Khomasuridze, in Russian, Georgian and English summaries).  http://www.viam.science.tsu.ge/publish/proceedings/tom46.htm  

6.       Solution of Sertain Two-Dimensional Boundary-Value Problems of Elasticity Theory in Elliptic Coordinates, Reports of Enlarged Session of the Seminar of I.Vekua Institute of Applied Mathematics of Tbilisi State University, Vol.10, 2, pp.19-23, 1995(coauthor N. Khomasuridze) http://www.viam.science.tsu.ge/enl_ses/vol10_2.htm  

7.       Torsion of a Hallow Elliptic Shaft, Reports of Enlarged Session of the Seminar of I.Vekua Institute of Applied Mathematics of Tbilisi State University, Vol.14, 2, pp.58-61, 1999. http://www.viam.science.tsu.ge/enl_ses/vol14_2.htm

8.       Some Two-Dimensional Elastic equilibrium problems of elliptic bodies. Proceding of I. Vekua Institute of Applied Mathematics of Tbilisi State University , Vol. 49, pp. 39 - 48, 1999 (coauthor N. Khomasuridze) http://www.viam.science.tsu.ge/publish/proceedings/vol49/tom49.htm

9.       The Elliptic Semi-ring Stress Condition, Reports os Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics of Tbilisi State University , Vol. 16, 1-3, pp. 70-73, 2001 http://www.viam.science.tsu.ge/enl_ses/vol16_1-3/vol16.htm

10.   Some Boundary Value Problems of Elasticity for Semi-Ellipses, Proceding of I. Vekua Institute of Applied Mathematics, Vol. 52, pp. 49 - 55, 2002  http://www.viam.science.tsu.ge/publish/proceedings/vol52/tom52.htm

11.   An Application of the BEM in Numerical Analysis of Stress Concentration for Elastic Body. Report of Enlarged Session of the Seminar of I.Vekua Institute of Applied Mathematics of Tbilisi State University, V. 20, N1-3, pp. 68-71, 2005. http://www.viam.science.tsu.ge/enl_ses/vol20_1-3/vol20.htm

12.   Solution of Outside Problem of Plane Elasticity Theory by Boundary Element Method. Report of Enlarged Session of the Seminar of I.Vekua Institute of Applied Mathematics of Tbilisi State University, V. 20, N1-3, pp. 72-76, 2005. http://www.viam.science.tsu.ge/enl_ses/vol20_1-3/vol20.htm

13.   The Numerical Solutions of so­me Boundary-Value Problems of Binary Mixture Plane Theory by BEM. Bull. Georg. Acad. scien. 173, N1, Tbilisi, 2006, pp. 53-55 (R.Janjgava, M.Mosia, M.Narmania), http://www.science.org.ge

14.   The Application of the Boun­da­ry Element Method to the So­lu­ti­on of Boundary Value Prob­lems for Elastic Body Con­ta­in­ing Circular Hole and Radial Cracks. Bull. Georg. Nat. Acad. Sci. 173, N3, Tbilisi, pp. 466-468, 2006. http://www.science.org.ge

15.   Application of the boundary el­e­ment method to the solution of the problem of distribution of stre­sses in an elastic body with a circular hole whose interior surface contains radial cracks. Proceedings of A.Razmadze Mathematical Institute. Vol. 141, pp. 139-147, 2006. http://www.rmi.acnet.ge/proceedings/volumes/141.htm

16.   Numerical Solutions of Some Bo­undary Value Problems of The­ory of Elasticity by BEM. Reports of Enlarged Sessions of the seminar of I.Vekua Institute of Appled Mathematics  v.21, N1,  pp. 64-67, 2006-2007. http://www.viam.science.tsu.ge/enl_ses/vol21/vol21.htm

17.   An application of the boundary element method for solving of the boundary-value problems for binary mixtures. Reports of Enlarged Sessions of the seminar of I.Vekua Institute of Appled Mathematics  v.21, N1, pp. 68-71, 2006-2007. (R.Janjgava, M.Mosia, M.Narmania), http://www.viam.science.tsu.ge/enl_ses/vol21/vol21.htm

18.   Solution of a Class of Boundary Va­lue Problems of  Vekua Plate Theory (Russian). Proceedings of International Conference “Non-Classic Problems of Mechanics”, Kutaisi, pp. 254-259, 2007. (N.Khomasuridze, R.Janjgava)

19.   Numerical Analisis of the Stress Distribution by the Boundary Elements Method in Continuous Body with a Hole. Bull. Georg. Nat. Acad. Sci. 175, N3, Tbilisi, pp. 22-25,2007 . http://www.science.org.ge

20.   Solution of  Some Boundary Value Problems of Vekua Shell Theory With Sym­metry And Anti-Symmetry Conditions  At The Boundaries. AMIM 2007, v.12, N 2, pp.16-27, 2007. (N.Khomasuridze, R.Janjgava), http://www.viam.science.tsu.ge/Ami/2007_2/2007_2.htm

21.           On the Construction of Analytic and Numerical Solutions of Some Plane Boundary Value Problems of the Elastic Mixture Theory. AMIM 2008, v.13, N 1, pp.66-78, 2008. (R.Janjgava), http://www.viam.science.tsu.ge/Ami/2008_1/2008_1.htm

22.           Î ÷èñëåííîì ðåøåíèè çàäà÷è î òðåùèíå ïîä âíóòðåííîì äàâëåíèåì â ñëó÷àå áåñêîíå÷íîé îáëàñòè á çàïîëíåííîé áèíàðíîé ñìåñüþ. “Architecture and Construction – Contemporary Problems”, 13-18 Dctober, 2008, Yerevan – Jermuk, ConferenceProccedings, pp.145-149 (R.Janjgava)

23.   The elastic equilibrium of infinite plate containing radial cracks originating of the boun­da­ry of internal circular hole. Reports of Enlarged Sessions of the seminar of I.Vekua Institute of Appled Mathematics  v.22, pp. 142-147, 2008. http://www.viam.science.tsu.ge/enl_ses/vol22/vol22.htm

24.           Solution of two-dimensional problems of elasticity. Springer New York, Journal of Mathematical Sciences , 2009, v.157, N1, pp.79-84 (Ðåøåíèå íåêîòîðûõ äâóìåðíûõ ãðàíè÷íûõ çàäà÷ òåîðèè óïðóãîñòè. Ñîâðåìåííàÿ Ìàòåìàòèêà è åå Ïðèëîæåíèÿ, ò.51, Äèôô. Óðàâ. È èõ ïðèëîæ., 2008), http://springerlink.com/content/3103724u67760140/?p=3d2d23293f40460f9d603fe2934a9980&pi=0

25.   The numerical solution of boundary-value problems for an elastic body with an elliptic hole and linear cracks. Springer Netherlands, Journal of Engineering Mathematics, DOI 10.1007/s10665-009-9269-z, Volume 65, Number 2 / October, 2009  

 

 

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