perturbation methods; differential equations; functions of complex variable; mechanics of deformed solid body; mechanics of composites; mechanics of materials destruction.
Subject:
It was elaborated (jointly with L. I. Manevich) asymptotic method for solution of two- and three-dimensional problems on elasticity theory of orthotropic bodies. It was showed, that such problems are reduced to subsequently solved boundary problems of potential theory. The method is generalized for viscoelastic and physical nonlinear materials and geometrical nonlinear problems also. It was suggested the method of solution of equations without linear part in particular derivatives. By means of elaborated method a number of problems on mechanics of solid bodies (finite andinfinite sije) ane solved. The solutions of problems on load transfer from elastic elements to two-dimensional and three-dimensional anysotropic bodies; problems on concentration of stresses near different forms orifices, of contact problems on stamp action on elastic body with friction or with friction and cohesion (L. A. Galin's problems) are obtained. Latter problems for anysotropic finite bodies are investigated first.
Biography
Graduated from two Faculties of Dniepropetrovsk State University: Physics and Technics; Mechanics and Mathematics in 1967. Ph. D. thesis was defended in 1972. D. Sci. thesis was defended in 1983. A list of my works contains more than 100 titles.
Main publications:
Pavlenko A. V. Ploskaya zadacha teorii uprugosti dlya plastinok s krivolineinoi anizotropiei // Izv. AN SSSR, ser. mekh. tverdogo tela, 1976, 3, 70–82.
Pavlenko A. V. Primenenie asimptoticheskogo metoda k prostranstvennoi zadache teorii uprugosti dlya kompozitnykh materialov // Izv. AN SSSR, ser. mekh. tverdogo tela, 1980, 3, 50–61.
Pavlenko A. V. Peredacha nagruzki ot sterzhnya k uprugomu anizotropnomu poluprostranstvu // Izv. AN SSSR, ser. mekh. tverdogo tela, 1981, 3, 103–111.
Manevich L. I., Pavlenko A. V., Koblik S. G. Asimptoticheskie metody v teorii uprugosti ortotropnogo tela. Kiev: Vischa shk., 1982.
Manevich L. I., Pavlenko A. V. Asimptoticheskii metod v mikromekhanike kompozitsionnykh materialov. Kiev: Vischa shk., 1991.
L. I. Manevich, A. V. Pavlenko, “Taking into account the structural inhomogeneity of a composite material in estimating adhesive strength”, Prikl. Mekh. Tekh. Fiz., 23:3 (1982), 140–145; J. Appl. Mech. Tech. Phys., 23:3 (1982), 434–439
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