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On the equilibrium of elastic bodies containing thin rigid inclusions. (English. Russian original) Zbl 1337.74003

Dokl. Phys. 55, No. 1, 18-22 (2010); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 430, No. 1, 47-50 (2010).
From the introduction: In this works, we suggest a model of an elastic body containing thin rigid inclusions with a property of delamination. For describing the delamination, we use inequality-type boundary conditions eliminating the mutual penetration of the crack faces.

MSC:

74A40 Random materials and composite materials
35Q74 PDEs in connection with mechanics of deformable solids
74R10 Brittle fracture
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References:

[1] V. Z. Parton and E. M. Morozov, Mechanics of Elastic-Plastic Fracture (Nauka, Moscow, 1985). · Zbl 0395.73086
[2] N. F. Morozov, Mathematical Problems of the Theory of Cracks (Nauka, Moscow, 1984). · Zbl 0566.73079
[3] A. M. Khludnev and V. A. Kovtunenko, Analysis of Cracks in Solids (WIT Press, Boston, 2000).
[4] A. M. Khludnev, Usp. Mekh. 3(4), 41–82 (2005).
[5] K. H. Hoffmann and A. M. Khludnev, Adv. Math. Sci. Appl. 14(2), 465–481 (2004).
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