Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics

Volume 8, # 2, 1993

This collection contains the reports which were delivered on April 23-27, 1992 at the section of eformable riging bodies of enlarged session of the seminar of I. Vekua Institute of Applied Mathematics.

Chairman of seminar

Basheleishvili M.

Edited by

Gabeskiria Ts.

C O N T E N T S

**Abesadze T.** Construction of the Fundamental Solution of Basic Static Differential Equations on an Exponential Non-Homogeneous Isotropic Thermoelastic Disk.

**Arsenishvili G., Natroshvili D.** Interface Problem of the Theory of Elastic Mixtures.

**Basheleishvili M.** On One Plane Problem of an Anisotropic Elastic Body .

**Basheleishvili M. , Zazashvili Sh.** A Generalased Plane Mixed Boundary Value Problem for an Anisotropic Elastic Body .

**Bitsadze L.** The Caushy-Riemann Generalised Conditions in Two-Dimentional Theory of Electroelasticity.

**Burchuladze T.** Generalised Model of Lord-Shulman in the Mathematical Theory of Thermodiffusion.

**Burchuladze T., Bejuashvili Ju.** The Solution of Basic Plane Dynamic Problem of the Theory of Thermal Diffusion With Mixed Boundary Value Conditions.

**Burchuladze T., Gelashvili D.** Efficient Solutions of Contact Problems of Dynamics Generalised Couple-Stress Thermoelasticity for Inhomogeneous Half-Space.

**Chalidze A., Japaridze D.** Construction of Fundamental Solution of Basic Static Differential Equations of an Exponential Non-Homogeneous Isotropic Elastic Ellipsoid of rotation.

**Dobordjginidze L.** On One Mathematical Model of Two-Dimensional Non-Linear Elasticity.

**Giorgashvili L.** On One Variant of Static Homogeneous Equations Solutions of the Theory of Elasticity

**Gogia A., Nebieridze M.** Computing of a Cylindrical Shell by I.Vekua Refined Theory.

**Khatiashvili G.** Concentrated Force Varying Along the Axis.

**Khomasouridze N., Siradze Z.** On One Elastic Equilibrium Boundary Value Problem of a Continuously Non-Homogeneous Orthotropic Parallelepiped.

**Methugova M., Methugov V.** Slanting Bend by Forces of Cylindric Bars Composed of Various Elastic Anisotropic Materials.

**Meunargia T**. On the Problems of Stress Concentration for Non-Shallow Spherical Shells.

**Natroshvili D.,** **Sigua I.** Interface Problems of the Theory of Thermoelasticity for Anisotropic Bodies.

**Sadunishvili G**. An Elastic Sphere (Ball) in the Acoustics field.

**Shavlakadze N.** Investigation of One Type Integral-Differential Equations and Contact Problems of the Theory of Elasticity Connected With Them.

**Svanadze M.** The Asymptotic Distribution of Eigenvalues and Eigenfunctions of the Oscillation Problems of the Elastic Mixture Linear Theory.

**Toradze D., Tsagareli I.** Dynamic Problems of Termomagnetic elasticity for the Circle With a Real Electric Conductivity.

**Tsagareli I**. The Solution of Problems of General Dynamics Elastic Thermal Diffusion for a Circle.

**Tsitskishvili A.** The Flow With a Segment Stream Separation With a Wedge at the End.

**Tvalchrelidze A., Aminashvili V**. Spherical Shell With Radial Cuts.

**Vashakmadze T., Vashakmadze T.** On Homogeniety of Vekua Theory of Plates and Shells for Anisotropic Non-Homogeneous Mediums.

**Zivzivadze R.** The Solution of Elastic Equilibrium of Isotropic Cylindrical Bar With the Action of Temperature.