References
References
- Vekua IN 1965 The theory of thin shallow shells of variable thickness Proceedings of A. Razmadze Institute of Mathematics of Georgian Academy of Sciences 30 5 103 (Russian)
- Vekua IN 1985 Shell Theory: General Methods of Construction Boston–London–Melbourne Pitman Advanced Publishing Program
- Babu[sbreve]ka , I and Li , L . 1991 . Hierarchic modelling of plates . Computers and Structures , 40 : 419 – 430 .
- Gordeziani , DG . 1974 . To the exactness of one variant of the theory of thin shells . Soviet Mathematical Doklady , 215 ( 4 ) : 751 – 754 .
- Meunargia , TV . 1998 . On nonlinear and nonshallow shells . Bulletin of TICMI , 2 : 46 – 49 .
- Jaiani GV Kharibegashvili SS Natroshvili DG Wendland WL 2003 Hierarchical models for elastic cusped plates and beams Lecture Notes of TICMI 4 (electronic version: http://www.viam.hepi.edu.ge/others/TICMI )
- Avalishvili , G and Avalishvili , M . 2004 . Investigation of static hierarchic model for elastic shells . Bulletin of the Georgian Academy of Sciences , 169 ( 3 ) : 451 – 453 .
- Bielak , J and MacCamy , R . 1991 . Symmetric finite element and boundary integral coupling methods for fluid–solid interaction . Quarterly of Applied Mathematics , 49 : 107 – 119 .
- Ershov NE 1985 Solution of a three-dimentional diffraction problem of acoustic waves by potential method Mathematical Problems of Geophysics Novosibirsk University Press pp. 47–58 (Russian)
- Everstine G Au-Yang M 1984 Advances in Fluid–Structure Interaction – 1984 New York American Society of Mechanical Engineers
- Everstine , G and Henderson , F . 1990 . Coupled finite element/boundary element approach for fluid–structure interaction . The Journal of the Acoustical Society of America , 87 : 1938 – 1947 .
- Gilbert , RP , Scotti , T , Wirgin , A , Youngzhi , S and Xu . 1998 . The unidentified object problem in a shallow ocean . The Journal of the Acoustical Society of America , 103 : 1320 – 1327 .
- Jentsch , L and Natroshvili , D . 1997 . Interaction between thermoelastic and scalar oscillation fields . Integral Equations and Operator Theory , 28 : 261 – 288 .
- Junger MC Fiet D 1986 Sound, Structures and their Interaction Cambridge MA MIT Press
- Hsiao GC 1994 On the boundary-field equation methods for fluid–structure interactions Proceedings of the 10.TMP, Teubner Texte zur Mathematik, Bd., 134 Stuttgart-Leipzig pp. 79–88
- Natroshvili DG Kharibegashvili SS Tediashvili Z 2000 Direct and inverse fluid–structure interaction problems Rendiconti di Matematica Serie VII 20 Roma 57 92
- Natroshvili , DG and Sadunishvili , G . 1996 . Interaction of elastic and scalar fields . Mathematical Methods in the Applied Sciences , 19 ( 18 ) : 1445 – 1469 .
- Sanchez-Palensia E 1984 Non-homogeneous Media and Vibration Theory Moscow Mir (Russian)
- Schwab , C . 1996 . A-posteriori modelling error estimation for hierarchik Plate Models . Numerische Mathematik , 74 : 221 – 259 .
- Wol'mir A 1981 Shells on the flow fluid and gas Problems of Aero-elasticity Moscow MIR (Russian)
- Wol'mir A 1981 Shells on the flow fluid and gas Problems of Hydro-elasticity Moscow MIR (Russian)
- Chinhaladze , N . 2002 . Bending of an isotropic cusped elastic plates under action of an incompressible fluid . Reports of Seminar of I, Vekua Institute of Applied Mathematics of Tbilisi State University , 28 : pp. 52–60
- Chinhaladze , N and Jaiani , GV . 2001 . On a cusped elastic solid–fluid interaction problem . Applied Mathematics and Informatics , 6 ( 2 ) : 25 – 64 .
- Chinhaladze , N . 2002 . On a cusped elastic solid–incompressible fluid interaction problem . Harmonic Vibration. Mechanics and Mechanical Engineering, Technical University of Lodz , 6 : pp. 5–29
- Chinhaladze , N . 2002 . A cusped elastic plate–ideal incompressible fluid interaction problem . Reports of Seminar of I, Vekua Institute of Applied Mathematics of Tbilisi State University , 28 : pp. 31–39
- Chinhaladze , N . 1999 . On the vibration of an elastic cusped plate . Reports of Enlarged Session of the Seminar of I, Vekua Institute of Applied Mathematics , 14 ( 1 ) : 12 – 20 .
- Chinhaladze , N . 2002 . Vibration of the plate with two cusped edges . Proceedings of I, Vekua Institute of Applied Mathematics of Tbilisi State University , 52 : pp. 30–48
- Jaiani GV 2004 Mechanics of Continuous Bodies Tbilisi Tbilisi University Press (in Georgian)
- Jaiani , GV . 1980 . On a physical interpretation of Fichera's function . Atte Della Accademia Nazionale Dei Lincei , LXVIII ( fasc. 5 ) : 426 – 435 .
- Jaiani GV 1999 Initial and boundary value problems for singular differential equations and applications to the theory of cusped bars and plates In: H. Begehr, O. Celebi and W. Tutschke (Eds) Complex Methods for Partial Differential Equations 6 ISAAC Serials Kluwer Dordrecht pp. 113–149
- Jaiani , GV . 2002 . Relation of hierarchical models of cusped elastic plates and beams to the three-dimensional models . Reports of the Seminar of I, Vekua Institute of Applied Mathematics , 28 : pp. 40–51
- Dautray R Lions JL 1990 Mathematical Analysis and Numerical Methods for Science and Technology 1 Berlin, Heidelberg, New-York, London, Paris, Tokyo, Hong Kong Springer-Verlag
- Muskhelishvili NI 1946 Singular Integral Equations Groningen-Holland P. Noordhoff N.V.
- Boikov IV Dobrynin NF Domnin L 1998 Approximation Methods for Calculating of Hadamard Integral Equations Penza University Press (Russian)