Literature cited
J. Ashelby, Continuum Theory of Dislocations [Russian translation], Inostr. Lit., Moscow (1963).
Yu. N. Podil'chuk, “Stress state of an unbounded medium with an elastic ellipsoidal inclusion,” Prikl. Mekh., No. 5, 28–37 (1968).
S. Boucher, “Modules effectifs de materiaux composites quasi homogenes et quasi isotropes constitués d'une matrice élastique et d'inclusions élastiques. 1. Cas des concentrations infinitésionales en inclusions,” Rev. M.,21, No. 3, 243–249 (1975).
F. Erdogan, “On the integral equations of three-dimensional multiple inclusion problems,” Lett. Appl. Eng. Sci.,1, No. 4, 305–311 (1973).
Z. A. Moschovidis and T. Mura, Two-ellipsoidal inhomogeneities by the equivalent inclusion method,” Trans. ASME,E 42, No. 4, 847–852 (1975).
V. V. Panasyuk, A. E. Andreikiv, and M. M. Stadnik, “Elastic equilibrium of an unbounded solid with a fine inclusion,” Dokl. Akad. Nauk Ukr. SSR,A, No. 7, 637–640 (1976).
A. E. Andreikiv and M. M. Stadnik, “Stress concentrations in a solid weakened by a network of fine inclusions,” in: Thermomechanical Methods of Crushing Ores [in Russian], Naukova Dumka, Kiev (1976), pp. 62–63.
G. P. Cherepanov, Mechanics of Brittle Fracture [in Russian], Nauka, Moscow (1974).
G. P. Cherepanov, R. S. Kocharov, and O. V. Sotkilava, “The individual crack defect in an elastic plane,” Prikl. Mekh. No. 2, 48–56 (1977).
M. Ya. Leonov, “Inversion method for contact problems of the theory of elasticity,” Nauchn. Zap. Inst. Mashinoved. Avtom. Akad. Nauk Ukr. SSR,1, 99–109 (1953).
V. V. Panasyuk, Limiting Equilibrium of Cracked Brittle Solids [in Russian], Naukova Dumka, Kiev (1968).
A. E. Andreikiv and V. V. Panasyuk, “Composite Problem of the theory of elasticity for half-spaces with circular dividing lines under boundary conditions,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 3, 26–32 (1972).
Author information
Authors and Affiliations
Additional information
Translated from Fiziko-Khimicheskaya Mekhanika Materialov, Vol. 15, No. 2, pp. 56–62, March–April, 1979.
Rights and permissions
About this article
Cite this article
Andreikiv, A.E., Stadnik, M.M. & Silovanyuk, V.P. Solution of an elasticity problem for an unbounded solid with a coplanar system of fine inclusions. Mater Sci 15, 145–151 (1979). https://doi.org/10.1007/BF00716251
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF00716251