Continuum theory in the mechanics of composite materials with small-scale structural distortion

Conclusions In the present work, the continuum theory proposed in [3, 5] has been developed for composite materials with small-scale structures of arbitrary spatial distortion, in the case of both periodic and local distortion. A general method is proposed for the solution of linear problems in the given continuum theory in any approximation, on the basis of the small-parameter method. An example admitting of accurate solution for any form of plane structural distortion of the given composite material is investigated, illustrating the influence of distortion. The accurate solution obtained may serve as a standard solution for problems within the framework of the given theory.Institute of Mathematics and Mechanics, Academy of Sciences of the Azerbaidzhan SSR, Baku. Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 27, No. 2, pp. 3–13, February, 1991.     

Stability of two noncircular cylinders in an elastic matrix with small subcritical strains

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Institute of Mathematics and Mechanics, Academy of Sciences of the Azerbaidzhan SSR. Baku. Translated from Prikladnaya Mekhanika, Vol. 25, No. 11, pp. 3–9, November, 1989.     

Mechanics of composite materials with curved structures (survey). Composite laminates

Institute of Mathematics and Mechanics of the Academy of Sciences of the Azerbaidzhan SSR, Baku. Institute of Mechanics of the Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 27, No. 6, pp. 3–22, June, 1991.     

Mechanics of composite materials with a small-scale structural flexure

Conclusion Thus, a continuum theory of composite materials with regular small-scale structural Texures in the material has been developed in the present paper, making it possible to determine local stresses, self-balanced in each period of the structure. A general method was suggested of solving linear oroblems by the continuum theory developed in an arbitrary approximation, based on the small parameter method. Examples on quasiuniform stress states, admitting exact solution, were studied, thus illustrating the effects under consideration.Institute of Mechanics, Academy of Sciences of the Ukrainian SSR. Translated from Prikladnaya Mekhanika, Vol. 19, No. 5, pp. 3–15, May, 1983.     

Several results and real problems in the theory of periodic motions and nonlinear mechanics (review)

Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev. Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 24, No. 3, pp. 3–14, March, 1988.     

Refined theory of flexible laminar orthotropic shells

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Institute of Computational Mathematics. Academy of Sciences of the Georgian SSR, Tbilisi. Translated from Prikladnaya Mekhanika, Vol. 25, No. 8, pp. 44–52, August, 1989.     

Theory of acoustoelasticity of rayleigh surface waves

Institute of Electric Welding, Academy of Sciences of the Ukrainian SSR, Kiev. Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 26, No. 4, pp. 35–41, April, 1990.     

Stress-strain state of a half-space in the neighborhood of a stiff sphere subjected to a normal load

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Institute of Ultrahard Materials, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 24, No. 4, pp. 19–25, April, 1988.     

Disk-shaped normal-rupture crack near the surface of a semiinfinite body with initial stresses

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Branch of New Physical Problems, Institute of Materials Science, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 27, No. 7, pp. 18–25, July, 1991.     

Extension of the microstructural theory of two-phase mixtures to composite materials

Studies in the microstructural theory of two-phase elastic, viscoelastic, and piezoelastic mixtures are analyzed with reference to composite materials. It is confirmed that an integral part of the studies in this subject area has been carried out at the S.P. Timoshenko Institute of Mechanics of the National Academy of Sciences of Ukraine. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev. Translated from Prikladnaya Mekhanika, Vol. 36, No. 5, pp. 33–64, May, 2000.     

Natural vibrations of composite materials having structures with small-scale curvatures

Conclusions We have used the continuum theory in [1] to develop an approach to determination of the natural frequency and mode of composite structural elements with locally and regularly curved structures. We used the approach to examine the solution of a specific problem concerning natural vibration. It was shown that the fundamental frequency of the structural elements may be reduced considerably by the presence of curvature in the structure of the composite.Institute of Mathematics and Mechanics, Azerbaidzhan Academy of Sciences, Baku. Institute of Mechanics of the Ukrainian Academy of Sciences, Kiev. Translated from Prikladnaya Mekhanika, Vol. 28, No. 12, pp. 24–30, December, 1992.     

Calculation of the dynamical deformation of thin shells induced by internal electrohydrodynamic pulse loads

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Electrohydraulics Planning and Design Office, Academy of Sciences of the Ukrainian SSR, Nikolaev. Translated from Prikladnaya Mekhanika, Vol. 26, No. 12, pp. 53–59, December, 1990.     

Inception and Development of Nonlinear Mechanics as a New Research Field

International Applied Mechanics - The works done by Ì. M. Krylov and M. M. Bogolyubov at the Institute of Structural Mechanics of the Academy of Sciences of the Ukrainian SSR and underlying...     

Axisymmetric problem of the penetration of a compressible fluid by thin elastic spherical shells

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev, Kiev Highway Institute. Translated from Prikladnaya Mekhanika, Vol. 24, No. 4, pp. 63–74, April, 1988.     

Determination of the stress state of periodontium of teeth by means of a spline approximation of its side surfaces

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Kiev Medical Institute. Translated from Prikladnaya Mekhanika, Vol. 26, No. 12, pp. 33–38, December, 1990.     

Theory of the stability of motion of three-member road trains

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Kiev Road Institute. Translated from Prikladnaya Mekhanika, Vol. 27, No. 1, pp. 96–103, January, 1991.     

Contact problems for elastic solids with initial stresses (elastic dies) (review)

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Khmel'nitsk Technological Institute. Translated from Prikladnaya Mekhanika, Vol. 27, No. 9, pp. 3–26, September, 1991.     

Elastic properties of obliquely wound composites with a damaged matrix

Special Design and Technological Office, Institute of Mechanics, Academy of Sciences of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, Vol. 25, No. 2, pp. 82–89, February, 1989.     

Vibration-damping of a body containing a fluid

Institute of Mechanics, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Prikladnaya Mekhanika, No. 7, pp. 89–96, July, 1990.