Abstract
The practical importance and timeliness of the study of the mechanical macroscopic behavior of composite microinhomogeneous media are determined by its ability to give criteria for estimating the limiting load of various structural elements, the flow of multiphase dispersed systems, the deformation of materials made by powder metallurgy methods, etc. The theoretical prediction of the properties of composites is generally most effectively realized when their structural representations are based on the theory of random fields. Application of the “strong isotropy” hypothesis [1] for the statistical averaging of certain relations of a perfectly plastic body with microstructure permits the determination of its macroscopic yield surface.
Similar content being viewed by others
Literature cited
V. A. Lomakin, Statistical Problems of the Mechanics of Deformable Solids [in Russian] Nauka, Moscow (1970).
T. D. Shermergor, The Theory of Elasticity of Microinhomogeneous Media [in Russian] Nauka, Moscow (1977).
W. Nowacki, The Theory of Elasticity [Russian translation], Mir, Moscow (1975).
V. V. Dudukalenko, S. I. Meshkov, and L. A. Saraev, “Calculation of effective plasticity characteristics of inhomogeneous media,” Zh. Prikl. Mekh. Tekh. Fiz., No. 5 (1979).
I. F. Martynova and V. V. Skorokhod, “Compaction of porous metals under volume plastic deformation without strain hardening,” Poroshk. Metall., No. 5 (1976).
Author information
Authors and Affiliations
Additional information
Translated from Zhurnal Prikladnoi Mekhaniki i Tekhnicheskoi Fiziki, No. 3, pp. 164–167, May–June, 1981.
Rights and permissions
About this article
Cite this article
Saraev, L.A. Theory of perfect plasticity of composite materials, taking account of volume compressibility. J Appl Mech Tech Phys 22, 435–438 (1981). https://doi.org/10.1007/BF00907574
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00907574