Journal of Theoretical and Applied Mechanics

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		Professor L. Litvin's Sixtieth Anniversary Editorial Board JTAM, Sofia, vol. 6 Issue 1 pp. 009-012 (1975)

		Quadrupole Theory of the Piezoelectricity G.Y. Brankov¹, N.K. Petrov² ¹Sofia, Bulgarian Academy of Sciences, 7 Noemvri Street, 1 ²Institute of Mathematics and Mechanics with Computing Centre, Bulgarian Academy of Sciences, IV km A thermodynamic model of a deformable solid manifesting piezoeffect has been worked out in the paper. Unlike in the case ot classical theory, the quodrupole moment is recorded simultaneously with the dipole moment. In the particular case of material isotropy, a definite connection is obtained between the tensor of the deformation and the electric field even in the linear variant of the theory proposed. This phenomenon known as electrostrction, cannot be explained by the classical model of electric-mechanical interaction in solids. JTAM, Sofia, vol. 6 Issue 1 pp. 013-019 (1975), [Full Article]

		Movement of a Circular Cylinder with Sliding in Incompressible Viscous Fluid Z.D. Zapryanov Sofia, Institute of Mathematics and Mechanics with Computing Centre, Bulgarian Academy of Sciences, IV km This is a treatment of the steric problem of the movement of a circular cylinder with sliding in an incompressible viscous fluid. On the basis of the Navier-Stokes equations, applying the method of matching of the asymptotic expansions, an asymptotic solution with accuracy of up to the second order has been obtained. JTAM, Sofia, vol. 6 Issue 1 pp. 021-025 (1975), [Full Article]

		Steady Motions of a Symmetric Body and a Gyrostat Having a Fixed Point on the Earth's Surface A. Anchev, L.G. Stariradeva, T.K. Kostov Sofia, Institute of Mathematics and Mechanics with Computing Centre, Bulgarian Academy of Sciences, IV km Taking account of the revolution of the Earth, steady motions of a symetrical Body and a gyrostat having a fixed point are investigated These motions are permanent rotations around the axis of symmetry with angular velocity which depends on the latitude of the fixed point. JTAM, Sofia, vol. 6 Issue 1 pp. 027-034 (1975)

		A Method of Determining the Physical Equations of Rate Sensitive Metals and Alloys S.B. Vodenicharov, A.I. Baltov Sofia, Institute of Mathematics and Mechanics with Computing Centre, Bulgarian Academy of Sciences. IV km A method is offered for determining the constitutive equations of viscoplastic mechano-mathematical models which are based on the model of a body with internal state parameters. These models can be successfully applied for the description of the behaviour of rate sensitive metals and alloys. JTAM, Sofia, vol. 6 Issue 1 pp. 035-038 (1975)

		Couple Stresses in Viscoplasticity N. Bogdanova-Bontcheva Sofia, Institute of Mathematics and Mechanics with Computing Centre, Bulgarian Academy of Sciences, IV km The author has worked out the constitutive equations of elasto-viscop lastic media with couple stresses, on the basis of the thermodynamic approach. Certain spec'al forms have been given for the equations of evolution, and various types of yield conditions have been investigated. JTAM, Sofia, vol. 6 Issue 1 pp. 039-046 (1975)

		Investigating Post-Buckling Deformations of Thin Anisotropic Shells (Part II) V.I. Babenko¹, Y.A. Ivanova² ¹Ukrainian SSR, Kharkov 86, pr. Lenin, 47, Physical and Technical Institute of Low Temperatures ²Sofia, Institute of Mathematics and Mechanics with Computing Centre, Bulgarian Academy of Sciences, IV km The asymptotic serves expansion has been worked out in Part II for solving the equations of slope strictly convex shells in the post-buckling stage on the basis of the method described in Part I. Equivalence of the system has been shown for the functions of U and V, which has been obtained in a zero approximation of the asymptotics worked out, and the system obtained for the same functions by means of the geometrical method of A. V. Pogorelov. JTAM, Sofia, vol. 6 Issue 1 pp. 047-052 (1975)

		Thermoelastic Waves in a Prestressed Circular Cylinder Ts.P. Ivanov, A.I. Rachev Sofia, Institute of Mathematics and Mechanics with Computing Centre, Bulgarian Academy of Sciences, IV km The general case of propagation of harmonic thermoelastic waves with small amplitudes in a prestressed circular cylinder made of incompressible material is considered in the present paper. The solutions for the displacements and the temperature and the general equation for the phase velocities and attenuation factors are obtained, as well as approximate formulae in the case of longitudinal waves in a thermally isolated cylinder made of neo-Hookean material when the wavelength is large with respect to the radius of the cylinder. JTAM, Sofia, vol. 6 Issue 1 pp. 053-064 (1975)

		The Flow of Gas Behind the Front of a Sound Wave Striking a Flat Plate A. E. Krasilshtikova U. S. S. R., Moscow The article examines the propagation of an acoustic wave in gas of unlimited volume. The front of the wave is a plane moving with the sound speed. The wave strikes a flat plate which, in its turn, moves rectilinearly with the sound speed. The potential of the speeds and the distribution of the pressure caused by the sound wave striking the plate are obtained. JTAM, Sofia, vol. 6 Issue 1 pp. 065-072 (1975)