Abstract
A strain diagram for a locally inhomogeneous medium (a medium with a porous structure or a system with noncut particles) is constructed on the basis of the Cosserat nonlinear–pseudocontinuum model. A modified criterion of geometrical softening that allows one to establish the dependence of the moment of stability loss on the statistical characteristics of the medium is considered.
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REFERENCES
M. A. Shtremel', Strength of Alloys [in Russian], Part 2, Inst. of Steel and Alloys, Moscow (1997).
A. M. Avdeenko, “The critical phenomena upon plastic deformation,” Metallofizika, 2, No. 5, 7–12 (1990).
A. M. Avdeenko, “Scaling of structurally inhomogeneous media,” Izv. Akad. Nauk SSSR, Met., No. 9, 64–67 (1992).
A. A. Il'yushin, Continuum Mechanics [in Russian], Izd. Mosk. Univ., Moscow (1978).
V. A. Likhachev and B. G. Malinin, Structural-Analytical Theory of Strength [in Russian], Nauka, St. Petersburg (1993).
A. M. Avdeenko, E. I. Kuz'ko, and M. A. Shtremel', “Development of the instability of plastic deformation as a self-organizing process,” Fiz. Tverd. Tela, No. 10, 3158–3161 (1994).
W. A. Spitzig, R. E. Smelser, and O. Richmond, “The evolution of damage and fracture in iron compacts with various initial porosities,” Acta Metall., 36, No. 5, 1201–1211 (1988).
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Avdeenko, A.M. Instability of Plastic Strain and Fracture. Strain Diagram for Inhomogeneous Media. Journal of Applied Mechanics and Technical Physics 41, 1070–1077 (2000). https://doi.org/10.1023/A:1026658723341
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DOI: https://doi.org/10.1023/A:1026658723341